Cuckoo Search and Firefly Algorithm

Firefly algorithm (FA) was developed by Xin-She Yang in 2008, while cuckoo search (CS) was developed by Xin-She Yang and Suash Deb in 2009. Both algorithms have been found to be very efficient in solving global optimization problems. This chapter provides an overview of both cuckoo search and firefly algorithm as well as their latest developments and applications. We analyze these algorithms and gain insight into their search mechanisms and find out why they are efficient. We also discuss the essence of algorithms and its link to self-organizing systems. In addition, we also discuss important issues such as parameter tuning and parameter control, and provide some topics for further research.

[1]  Saeed Tavakoli,et al.  Improved cuckoo search for reliability optimization problems , 2013, Comput. Ind. Eng..

[2]  Hema Banati,et al.  Promoting products online using firefly algorithm , 2012, 2012 12th International Conference on Intelligent Systems Design and Applications (ISDA).

[3]  O. Abedinia,et al.  Multi-objective Environmental/Economic Dispatch using firefly technique , 2012, 2012 11th International Conference on Environment and Electrical Engineering.

[4]  Yonghua Song,et al.  Seeker optimization algorithm: A novel stochastic search algorithm for global numerical optimization , 2010 .

[5]  Malay Kule,et al.  A cryptanalytic attack on the knapsack cryptosystem using binary Firefly algorithm , 2011, 2011 2nd International Conference on Computer and Communication Technology (ICCCT-2011).

[6]  Way Kuo,et al.  Recent Advances in Optimal Reliability Allocation , 2007, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[7]  Evelyn Fox Keller,et al.  Organisms, Machines, and Thunderstorms: A History of Self-Organization, Part Two. Complexity, Emergence, and Stable Attractors , 2009 .

[8]  Wen Chen,et al.  A survey on computing Lévy stable distributions and a new MATLAB toolbox , 2013, Signal Process..

[9]  Asoke K. Nandi,et al.  Detection of masses in mammograms via statistically based enhancement, multilevel-thresholding segmentation, and region selection , 2008, Comput. Medical Imaging Graph..

[10]  Manian Dhivya,et al.  Cuckoo Search for data gathering in Wireless Sensor Networks , 2011, Int. J. Mob. Commun..

[11]  Robert M. Haralick,et al.  Textural Features for Image Classification , 1973, IEEE Trans. Syst. Man Cybern..

[12]  N. Otsu.  A threshold selection method from gray level histograms , 1979 .

[13]  V. K. Panchal,et al.  Applying Case Based Reasoning in Cuckoo Search for the Expedition of Groundwater Exploration , 2012, BIC-TA.

[14]  Chunguang Zhou,et al.  Particle swarm optimization for traveling salesman problem , 2003, Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693).

[15]  Xin-She Yang,et al.  Review of Metaheuristics and Generalized Evolutionary Walk Algorithm , 2011, 1105.3668.

[16]  Mohammad Asif Zaman,et al.  Nonuniformly Spaced Linear Antenna Array Design Using Firefly Algorithm , 2012 .

[17]  Nikola K. Kasabov,et al.  String Pattern Recognition Using Evolving Spiking Neural Networks and Quantum Inspired Particle Swarm Optimization , 2009, ICONIP.

[18]  Chuen-Horng Lin,et al.  Optimization analysis for an infinite capacity queueing system with multiple queue-dependent servers: genetic algorithm , 2011, Int. J. Comput. Math..

[19]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[20]  Pinar Çivicioglu,et al.  Backtracking Search Optimization Algorithm for numerical optimization problems , 2013, Appl. Math. Comput..

[21]  Leandro dos Santos Coelho,et al.  An efficient particle swarm approach for mixed-integer programming in reliability-redundancy optimization applications , 2009, Reliab. Eng. Syst. Saf..

[22]  Abhijit Gosavi,et al.  Simulation-Based Optimization: Parametric Optimization Techniques and Reinforcement Learning , 2003 .

[23]  Xin-She Yang,et al.  Discrete cuckoo search algorithm for the travelling salesman problem , 2014, Neural Computing and Applications.

[24]  Shiyuan Yang,et al.  Stochastic convergence analysis and parameter selection of the standard particle swarm optimization algorithm , 2007, Inf. Process. Lett..

[25]  Xiaodong Li,et al.  Swarm Intelligence in Optimization , 2008, Swarm Intelligence.

[26]  Pablo Moscato,et al.  Memetic Algorithms , 2007, Handbook of Approximation Algorithms and Metaheuristics.

[27]  Lalit Chandra Saikia,et al.  Automatic generation control of a combined cycle gas turbine plant with classical controllers using Firefly Algorithm , 2013 .

[28]  Ming-Huwi Horng,et al.  Multilevel minimum cross entropy threshold selection based on the honey bee mating optimization , 2009, Expert Syst. Appl..

[29]  Ming Xu,et al.  A Multipopulation Firefly Algorithm for Correlated Data Routing in Underwater Wireless Sensor Networks , 2013, Int. J. Distributed Sens. Networks.

[30]  Nebojsa Bacanin.  An object-oriented software implementation of a novel cuckoo search algorithm , 2011 .

[31]  M. W. Mustafa,et al.  Optimal allocation and sizing of Distributed Generation in distribution system via Firefly Algorithm , 2012, 2012 IEEE International Power Engineering and Optimization Conference Melaka, Malaysia.

[32]  Zahra Moravej,et al.  A novel approach based on cuckoo search for DG allocation in distribution network , 2013 .

[33]  Parviz Fattahi,et al.  Hybrid firefly-simulated annealing algorithm for the flow shop problem with learning effects and flexible maintenance activities , 2013 .

[34]  Jorge Stolfi,et al.  The image foresting transform: theory, algorithms, and applications , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[35]  Alexandru Iosup,et al.  The Grid Workloads Archive , 2008, Future Gener. Comput. Syst..

[36]  Achmad Jazidie,et al.  A NEW COMBINATION METHOD OF FIREFLY ALGORITHM AND T2FSMC FOR MOBILE INVERTED PENDULUM ROBOT , 2013 .

[37]  Jürgen Branke,et al.  Multi-objective particle swarm optimization on computer grids , 2007, GECCO '07.

[38]  Shuai Zhang,et al.  Multi-path QoS-Aware Web Service Composition using Variable Length Chromosome Genetic Algorithm , 2011 .

[39]  Dragan Savic,et al.  Multi-objective Cuckoo Search for the Optimal Design of Water Distribution Systems , 2012 .

[40]  Patrick Siarry,et al.  A comparative study of various meta-heuristic techniques applied to the multilevel thresholding problem , 2010, Eng. Appl. Artif. Intell..

[41]  Herbert Martins Gomes.  A firefly metaheuristic structural size and shape optimisation with natural frequency constraints , 2012, Int. J. Metaheuristics.

[42]  Ivona BRAJEVIC,et al.  Multilevel Image Thresholding Selection Based on the Cuckoo Search Algorithm , 2012 .

[43]  Amine Bermak,et al.  A compact 3D VLSI classifier using bagging threshold network ensembles , 2003, IEEE Trans. Neural Networks.

[44]  Zhigeng Pan,et al.  Parallel Genetic Algorithms on Programmable Graphics Hardware , 2005, ICNC.

[45]  V. Mani,et al.  Clustering Using Levy Flight Cuckoo Search , 2012, BIC-TA.

[46]  Saeid Nahavandi,et al.  Solving a multiobjective job shop scheduling problem using Pareto Archived Cuckoo Search , 2012, Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies & Factory Automation (ETFA 2012).

[47]  Apichat Heednacram,et al.  Implementation of Cuckoo Search in RBF Neural Network for Flood Forecasting , 2012, 2012 Fourth International Conference on Computational Intelligence, Communication Systems and Networks.

[48]  N. Jawahar,et al.  SIMULTANEOUS ALLOCATION OF RELIABILITY & REDUNDANCY USING MINIMUM TOTAL COST OF OWNERSHIP APPROACH , 2011 .

[49]  Maurice Clerc,et al.  Discrete Particle Swarm Optimization, illustrated by the Traveling Salesman Problem , 2004 .

[50]  Janez Brest,et al.  Memetic Self-Adaptive Firefly Algorithm , 2013 .

[51]  Xin-She Yang,et al.  Multiobjective firefly algorithm for continuous optimization , 2012, Engineering with Computers.

[52]  Victor Ciesielski,et al.  Linear genetic programming , 2008, Genetic Programming and Evolvable Machines.

[53]  H. Zepernick,et al.  Lévy Flights and Global Optimization , 2013 .

[54]  Mohammad Reza Meybodi,et al.  Speciation based firefly algorithm for optimization in dynamic environments , 2012 .

[55]  S. Bharathi Raja,et al.  Optimization of electrical discharge machining parameters on hardened die steel using Firefly Algorithm , 2013, Engineering with Computers.

[56]  Xin-She Yang,et al.  Bat algorithm: a novel approach for global engineering optimization , 2012, 1211.6663.

[57]  Ming-Huwi Horng,et al.  Vector quantization using the firefly algorithm for image compression , 2012, Expert Syst. Appl..

[58]  Amir-Masoud Eftekhari-Moghadam,et al.  An image segmentation approach based on maximum variance Intra-cluster method and Firefly algorithm , 2011, 2011 Seventh International Conference on Natural Computation.

[59]  Jing Wang,et al.  Swarm Intelligence in Cellular Robotic Systems , 1993 .

[60]  Ying Tan,et al.  GPU-based parallel particle swarm optimization , 2009, 2009 IEEE Congress on Evolutionary Computation.

[61]  Lifeng Ai,et al.  A hybrid genetic algorithm for the optimal constrained web service selection problem in web service composition , 2010, IEEE Congress on Evolutionary Computation.

[62]  A. E. Eiben,et al.  Genetic algorithms with multi-parent recombination , 1994, PPSN.

[63]  Saeed Gholizadeh,et al.  A COMPRATIVE STUDY OF THREE METAHEURISTICS FOR OPTIMUM DESIGN OF TRUSSES , 2012 .

[64]  S. Wittevrongel,et al.  Queueing Systems , 2019, Introduction to Stochastic Processes and Simulation.

[65]  V. Mani,et al.  Exploring isospectral spring–mass systems with firefly algorithm , 2011, Proceedings of the Royal Society A.

[66]  Marek Gutowski.  L\'evy flights as an underlying mechanism for global optimization algorithms , 2001 .

[67]  Salim Chikhi,et al.  Solving 0-1 knapsack problems by a discrete binary version of cuckoo search algorithm , 2012, Int. J. Bio Inspired Comput..

[68]  Xin-She Yang.  Metaheuristic Algorithms for Self-Organizing Systems: A Tutorial , 2012, 2012 IEEE Sixth International Conference on Self-Adaptive and Self-Organizing Systems.

[69]  Juan Humberto Sossa Azuela,et al.  Design of Artificial Neural Networks Using Differential Evolution Algorithm , 2010, ICONIP.

[70]  Juan Humberto Sossa Azuela,et al.  Design of artificial neural networks using a modified Particle Swarm Optimization algorithm , 2009, 2009 International Joint Conference on Neural Networks.

[71]  John R. Koza,et al.  Genetic programming as a means for programming computers by natural selection , 1994 .

[72]  Saeed Tavakoli,et al.  Improved Cuckoo Search Algorithm for Feed forward Neural Network Training , 2011 .

[73]  Amiya Nayak,et al.  Fault identification with binary adaptive fireflies in parallel and distributed systems , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[74]  Tudor Cioara,et al.  Distributed Computing and Systems , 2008 .

[75]  Milan Tuba,et al.  Artificial Bee Colony (ABC) Algorithm for Constrained Optimization Improved with Genetic Operators , 2012 .

[76]  Jong Myoung Ko,et al.  Quality-of-service oriented web service composition algorithm and planning architecture , 2008, J. Syst. Softw..

[77]  Surafel Luleseged Tilahun,et al.  Modified Firefly Algorithm , 2012, J. Appl. Math..

[78]  Isabelle Guyon,et al.  An Introduction to Variable and Feature Selection , 2003, J. Mach. Learn. Res..

[79]  Riccardo Poli,et al.  Theoretical results in genetic programming: the next ten years? , 2010, Genetic Programming and Evolvable Machines.

[80]  Jorge J. Moré,et al.  Digital Object Identifier (DOI) 10.1007/s101070100263 , 2001 .

[81]  Michael E. Hasselmo,et al.  A Proposed Function for Hippocampal Theta Rhythm: Separate Phases of Encoding and Retrieval Enhance Reversal of Prior Learning , 2002, Neural Computation.

[82]  Xin-She Yang,et al.  Cuckoo search: recent advances and applications , 2013, Neural Computing and Applications.

[83]  B Rampriya,et al.  Unit commitment in deregulated power system using Lagrangian firefly algorithm , 2010, 2010 INTERNATIONAL CONFERENCE ON COMMUNICATION CONTROL AND COMPUTING TECHNOLOGIES.

[84]  Stefan Roth,et al.  Covariance Matrix Adaptation for Multi-objective Optimization , 2007, Evolutionary Computation.

[85]  H. Stanley,et al.  Optimizing the success of random searches , 1999, Nature.

[86]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[87]  Rolf T. Wigand,et al.  Community Detection in Complex Networks: Multi-objective Enhanced Firefly Algorithm , 2013, Knowl. Based Syst..

[88]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[89]  Lalit M. Patnaik,et al.  Application of genetic programming for multicategory pattern classification , 2000, IEEE Trans. Evol. Comput..

[90]  Wolfgang Banzhaf,et al.  Distributed genetic programming on GPUs using CUDA , 2011 .

[91]  Eugene M. Izhikevich,et al.  Simple model of spiking neurons , 2003, IEEE Trans. Neural Networks.

[92]  Ling Wang,et al.  An effective co-evolutionary particle swarm optimization for constrained engineering design problems , 2007, Eng. Appl. Artif. Intell..

[93]  Leandro Fleck Fadel Miguel,et al.  Multimodal size, shape, and topology optimisation of truss structures using the Firefly algorithm , 2013, Adv. Eng. Softw..

[94]  R. Eberhart,et al.  Empirical study of particle swarm optimization , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[95]  P. N. Suganthan,et al.  Differential Evolution Algorithm With Strategy Adaptation for Global Numerical Optimization , 2009, IEEE Transactions on Evolutionary Computation.

[96]  Dang Jianwu,et al.  An Algorithm Multi-Resolution Medical Image Registration Based on Firefly Algorithm and Powell , 2013, 2013 Third International Conference on Intelligent System Design and Engineering Applications.

[97]  Manian Dhivya,et al.  Energy Efficient Computation of Data Fusion in Wireless Sensor Networks Using Cuckoo Based Particle Approach (CBPA) , 2011, Int. J. Commun. Netw. Syst. Sci..

[98]  Hui Hu.  FA-Based Optimal Strategy of Train’s Energy Saving with Energy Materials , 2012 .

[99]  G. Camps-Valls,et al.  Feature selection of hyperspectral data through local correlation and SFFS for crop classification , 2003, IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings (IEEE Cat. No.03CH37477).

[100]  Miguel A. Vega-Rodríguez,et al.  Routing Low-Speed Traffic Requests onto High-Speed Lightpaths by Using a Multiobjective Firefly Algorithm , 2013, EvoApplications.

[101]  Gai-Ge Wang,et al.  A modified firefly algorithm for UCAV path planning , 2012 .

[102]  Nebojsa Bacanin.  Implementation and performance of an object-oriented software system for cuckoo search algorithm , .

[103]  Rajkumar Buyya,et al.  GridSim: a toolkit for the modeling and simulation of distributed resource management and scheduling for Grid computing , 2002, Concurr. Comput. Pract. Exp..

[104]  M. Meybodi,et al.  A new hybrid algorithm based on Firefly Algorithm and cellular learning automata , 2012, 20th Iranian Conference on Electrical Engineering (ICEE2012).

[105]  Xin-She Yang,et al.  Cuckoo Search for Inverse Problems and Topology Optimization , 2013 .

[106]  Jürgen Branke,et al.  Evolutionary optimization in uncertain environments-a survey , 2005, IEEE Transactions on Evolutionary Computation.

[107]  Xin-She Yang,et al.  Firefly algorithm, stochastic test functions and design optimisation , 2010, Int. J. Bio Inspired Comput..

[108]  Olympia Roeva,et al.  Firefly algorithm tuning of PID controller for glucose concentration control during E. coli fed-batch cultivation process , 2012, 2012 Federated Conference on Computer Science and Information Systems (FedCSIS).

[109]  Fan Wang,et al.  Hybrid optimization algorithm of PSO and Cuckoo Search , 2011, 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC).

[110]  N. Poursalehi,et al.  Multi-objective loading pattern enhancement of PWR based on the Discrete Firefly Algorithm , 2013 .

[111]  Catherine Blake,et al.  UCI Repository of machine learning databases , 1998 .

[112]  Liqun Gao,et al.  An improved particle swarm optimization algorithm for reliability problems. , 2011, ISA transactions.

[113]  Bahriye Akay,et al.  A study on particle swarm optimization and artificial bee colony algorithms for multilevel thresholding , 2013, Appl. Soft Comput..

[114]  M. Dorigo,et al.  1 Positive Feedback as a Search Strategy , 1991 .

[115]  Huan Liu,et al.  An Approach for QoS-Aware Web Service Composition Based on Improved Genetic Algorithm , 2010, 2010 International Conference on Web Information Systems and Mining.

[116]  Jiahao Lin,et al.  Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints , 1982 .

[117]  D. Karaboga,et al.  On the performance of artificial bee colony (ABC) algorithm , 2008, Appl. Soft Comput..

[118]  Roberto Antonio Vázquez,et al.  Training spiking neural models using cuckoo search algorithm , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[119]  Gao Yue-lin.  The global convergence analysis of particle swarm optimization algorithm based on Markov chain , 2011 .

[120]  Stephen J. Simpson,et al.  Biological Foundations of Swarm Intelligence , 2008, Swarm Intelligence.

[121]  Harikrishna Narasimhan,et al.  Parallel artificial bee colony (PABC) algorithm , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[122]  Leandro dos Santos Coelho,et al.  A chaotic firefly algorithm applied to reliability-redundancy optimization , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[123]  Najmy ABDUL RANI,et al.  Nature-inspired Cuckoo Search Algorithm for Side Lobe Suppression in a Symmetric Linear Antenna Array Khairul , 2012 .

[124]  Dervis Karaboga,et al.  Artificial Bee Colony (ABC) Optimization Algorithm for Training Feed-Forward Neural Networks , 2007, MDAI.

[125]  Radovan R. Bulatović,et al.  Cuckoo Search algorithm: A metaheuristic approach to solving the problem of optimum synthesis of a six-bar double dwell linkage , 2013 .

[126]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

[127]  S. Balasubramanian,et al.  Neural networks-integrated metal oxide-based artificial olfactory system for meat spoilage identification , 2009 .

[128]  Kenneth A. Hawick,et al.  Grid-boxing for spatial simulation performance optimisation , 2006, 39th Annual Simulation Symposium (ANSS'06).

[129]  Charles Elegbede,et al.  Structural reliability assessment based on particles swarm optimization , 2005 .

[130]  Ming-Huwi Horng,et al.  Multilevel thresholding selection based on the artificial bee colony algorithm for image segmentation , 2011, Expert Syst. Appl..

[131]  Antonio Pescapè,et al.  Genetic Algorithm Modeling with GPU Parallel Computing Technology , 2012, WIRN.

[132]  Ali R. Yildiz,et al.  Cuckoo search algorithm for the selection of optimal machining parameters in milling operations , 2012, The International Journal of Advanced Manufacturing Technology.

[133]  Theofanis Apostolopoulos,et al.  Application of the Firefly Algorithm for Solving the Economic Emissions Load Dispatch Problem , 2011 .

[134]  Xin-She Yang,et al.  Firefly Algorithm, Lévy Flights and Global Optimization , 2010, SGAI Conf..

[135]  Helio J. C. Barbosa,et al.  Accelerated parallel genetic programming tree evaluation with OpenCL , 2013, J. Parallel Distributed Comput..

[137]  Punam Bedi,et al.  Cuckoo Search Clustering Algorithm: A novel strategy of biomimicry , 2011, 2011 World Congress on Information and Communication Technologies.

[138]  Guang Li,et al.  A pattern recognition method for electronic noses based on an olfactory neural network , 2007 .

[139]  Xin-She Yang,et al.  Eagle Strategy Using Lévy Walk and Firefly Algorithms for Stochastic Optimization , 2010, NICSO.

[140]  William B. Langdon,et al.  A Many Threaded CUDA Interpreter for Genetic Programming , 2010, EuroGP.

[141]  Wang Yan.  The cuckoo search algorithm based on Gaussian disturbance , 2011 .

[142]  Meihong Wang,et al.  Grid Task Scheduling Based on Advanced No Velocity PSO , 2010, 2010 International Conference on Internet Technology and Applications.

[143]  Dexuan Zou,et al.  A novel global harmony search algorithm for reliability problems , 2010, Comput. Ind. Eng..

[144]  Gautam Kumar Mahanti,et al.  Minimization in variations of different parameters in different φ planes of a small-size concentric ring array antenna using firefly algorithm , 2013, Ann. des Télécommunications.

[145]  A. Kai Qin,et al.  Self-adaptive differential evolution algorithm for numerical optimization , 2005, 2005 IEEE Congress on Evolutionary Computation.

[146]  Ioannis G. Tsoulos,et al.  Enhancing PSO methods for global optimization , 2010, Appl. Math. Comput..

[147]  Ying Zhao,et al.  The Research of Levenberg-Marquardt Algorithm in Curve Fittings on Multiple GPUs , 2011, 2011IEEE 10th International Conference on Trust, Security and Privacy in Computing and Communications.

[148]  Milan Tuba,et al.  Ant colony optimization algorithm with pheromone correction strategy for the minimum connected dominating set problem , 2013, Comput. Sci. Inf. Syst..

[149]  İsmail Durgun,et al.  Structural Design Optimization of Vehicle Components Using Cuckoo Search Algorithm , 2012 .

[150]  Yang Song-ming,et al.  Markov Model and Convergence Analysis Based on Cuckoo Search Algorithm , 2012 .

[151]  Fred Glover,et al.  Future of simulation optimization , 2001, Proceeding of the 2001 Winter Simulation Conference (Cat. No.01CH37304).

[152]  M Dorigo,et al.  Ant colonies for the travelling salesman problem. , 1997, Bio Systems.

[153]  Xin-She Yang,et al.  BCS: A Binary Cuckoo Search algorithm for feature selection , 2013, 2013 IEEE International Symposium on Circuits and Systems (ISCAS2013).

[154]  Jing J. Liang,et al.  Comprehensive learning particle swarm optimizer for global optimization of multimodal functions , 2006, IEEE Transactions on Evolutionary Computation.

[155]  T. Jayabarathi,et al.  Combined heat and power economic dispatch problem using firefly algorithm , 2013 .

[156]  T. D. Biradar,et al.  Review of Nature Inspired Algorithms , 2015 .

[157]  A. F. Santos,et al.  Firefly optimization to determine the precipitation field on South America , 2013 .

[158]  G. K. Mahanti,et al.  Fire Fly and Artificial Bees Colony Algorithm for Synthesis of Scanned and Broadside Linear Array Antenna , 2011 .

[159]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[160]  Marco Dorigo,et al.  The ant colony optimization meta-heuristic , 1999 .

[161]  H. Narihisa,et al.  Reliability optimization of systems by a surrogate-constraints algorithm , 1992 .

[162]  Mohammad Reza Meybodi,et al.  New Firefly Algorithm based On Multi swarm & Learning Automata in Dynamic Environments , 2011 .

[163]  Maw-Sheng Chern,et al.  Reliability Optimization Problems with Multiple Constraints , 1986, IEEE Transactions on Reliability.

[164]  Laura Painton,et al.  Genetic algorithms in optimization of system reliability. , 1995 .

[165]  Yunlong Zhu,et al.  Multi-colony bacteria foraging optimization with cell-to-cell communication for RFID network planning , 2010, Appl. Soft Comput..

[166]  Ioan Salomie,et al.  Optimizing the Semantic Web Service Composition Process Using Cuckoo Search , 2011, IDC.

[167]  Siti Zaiton Mohd Hashim,et al.  A New Hybrid Firefly Algorithm for Complex and Nonlinear Problem , 2012, DCAI.

[168]  Rajini Aruchamy,et al.  A Comparative Performance Study on Hybrid Swarm Model for Micro array Data , 2011 .

[169]  M .,et al.  Some hybrid models to improve Firefly algorithm performance , 2011 .

[170]  Jeffrey Horn,et al.  Handbook of evolutionary computation , 1997 .

[171]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .

[172]  Ilya Pavlyukevich.  Lévy flights, non-local search and simulated annealing , 2007, J. Comput. Phys..

[173]  Sankha Deb,et al.  Scheduling optimization of flexible manufacturing system using cuckoo search-based approach , 2013 .

[174]  Julian Togelius,et al.  Geometric differential evolution , 2009, GECCO '09.

[175]  O Bénichou,et al.  Two-dimensional intermittent search processes: An alternative to Lévy flight strategies. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[176]  Manian Dhivya,et al.  Energy Efficient Cluster Formation in Wireless Sensor Networks Using Cuckoo Search , 2011, SEMCCO.

[177]  Christodoulos A. Floudas,et al.  A review of recent advances in global optimization , 2009, J. Glob. Optim..

[178]  William B. Langdon,et al.  Graphics processing units and genetic programming: an overview , 2011, Soft Comput..

[179]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[180]  Pinar Civicioglu,et al.  Transforming geocentric cartesian coordinates to geodetic coordinates by using differential search algorithm , 2012, Comput. Geosci..

[181]  Xin-She Yang,et al.  Software test effort estimation: a model based on cuckoo search , 2012, Int. J. Bio Inspired Comput..

[182]  N. Chai-ead,et al.  Bees and Firefly Algorithms for Noisy Non-Linear Optimisation Problems , 2011 .

[183]  Ramin Rajabioun,et al.  Cuckoo Optimization Algorithm , 2011, Appl. Soft Comput..

[184]  B. Tabarrok,et al.  Structural optimization with frequency constraints using the finite element force method , 2002 .

[185]  Siti Mariyam Shamsuddin,et al.  Particle Swarm Optimization: Technique, System and Challenges , 2011 .

[186]  Bijaya K. Panigrahi,et al.  Tsallis entropy based optimal multilevel thresholding using cuckoo search algorithm , 2013, Swarm Evol. Comput..

[187]  Ming-Kuei Hu,et al.  Visual pattern recognition by moment invariants , 1962, IRE Trans. Inf. Theory.

[188]  Ali Kaveh,et al.  Optimum design of steel frames using Cuckoo Search algorithm with Lévy flights , 2013 .

[189]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[190]  Dervis Karaboga,et al.  A comparative study of Artificial Bee Colony algorithm , 2009, Appl. Math. Comput..

[191]  Ming-Huwi Horng,et al.  Multilevel minimum cross entropy threshold selection based on the firefly algorithm , 2011, Expert Syst. Appl..

[192]  Abdul Hanan Abdullah,et al.  Scheduling jobs on grid computing using firefly algorithm , 2011 .

[193]  K. Chandrasekaran,et al.  Optimal Deviation Based Firefly Algorithm Tuned Fuzzy Design for Multi-Objective UCP , 2013, IEEE Transactions on Power Systems.

[194]  Slawomir Zak,et al.  Firefly Algorithm for Continuous Constrained Optimization Tasks , 2009, ICCCI.

[195]  Yongquan Zhou,et al.  A Novel Cuckoo Search Optimization Algorithm Base on Gauss Distribution , 2012 .

[196]  V. Mani,et al.  Clustering using firefly algorithm: Performance study , 2011, Swarm Evol. Comput..

[197]  Hossein Nezamabadi-pour,et al.  BGSA: binary gravitational search algorithm , 2010, Natural Computing.

[198]  Amir Hossein Gandomi,et al.  Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect , 2012, Appl. Soft Comput..

[199]  E. Jaynes.  Information Theory and Statistical Mechanics , 1957 .

[200]  Manju Agarwal,et al.  Ant colony approach to constrained redundancy optimization in binary systems , 2010 .

[201]  Zelda B. Zabinsky,et al.  A Numerical Evaluation of Several Stochastic Algorithms on Selected Continuous Global Optimization Test Problems , 2005, J. Glob. Optim..

[202]  Ivanoe De Falco,et al.  A Distributed Differential Evolution Approach for Mapping in a Grid Environment , 2007, 15th EUROMICRO International Conference on Parallel, Distributed and Network-Based Processing (PDP'07).

[203]  Mariappan Kadarkarainadar Marichelvam,et al.  An improved hybrid Cuckoo Search (IHCS) metaheuristics algorithm for permutation flow shop scheduling problems , 2012, Int. J. Bio Inspired Comput..

[204]  Jürgen Roßmann,et al.  A Comparison of Different Metaheuristic Algorithms for Optimizing Blended PTP Movements for Industrial Robots , 2012, ICIRA.

[205]  Xin-She Yang,et al.  Bat Algorithm and Cuckoo Search: A Tutorial , 2013, Artificial Intelligence, Evolutionary Computing and Metaheuristics.

[206]  Jukka Heikkonen,et al.  A computer vision approach to digit recognition on pulp bales , 1996, Pattern Recognit. Lett..

[207]  Thatchai Thepphakorn,et al.  Application of Firefly Algorithm and Its Parameter Setting for Job Shop Scheduling , 2012 .

[208]  Subrata Das,et al.  Hybrid Firefly Based Simultaneous Gene Selection and Cancer Classification Using Support Vector Machines and Random Forests , 2012, BIC-TA.

[209]  Gholizadeh Saeed,et al.  Structural Optimization for Frequency Constraints , 2013 .

[210]  Xin-She Yang,et al.  Metaheuristic algorithms for inverse problems , 2013 .

[211]  Kenneth Morgan,et al.  Modified cuckoo search: A new gradient free optimisation algorithm , 2011 .

[212]  Xin-She Yang,et al.  A literature survey of benchmark functions for global optimisation problems , 2013, Int. J. Math. Model. Numer. Optimisation.

[213]  Way Kuo,et al.  Reliability optimization of coherent systems , 2000, IEEE Trans. Reliab..

[214]  R. K. Verma,et al.  Multiobjective optimization of a queueing system , 1986 .

[215]  Julie A. McCann,et al.  Lessons in Implementing Bio-inspired Algorithms on Wireless Sensor Networks , 2008, 2008 NASA/ESA Conference on Adaptive Hardware and Systems.

[216]  K. Faez,et al.  A speech recognition system based on Structure Equivalent Fuzzy Neural Network trained by Firefly algorithm , 2012, 2012 International Conference on Biomedical Engineering (ICoBE).

[217]  Xin-She Yang,et al.  Flower Pollination Algorithm for Global Optimization , 2012, UCNC.

[218]  Joel J. P. C. Rodrigues,et al.  Anomaly detection using DSNS and Firefly Harmonic Clustering Algorithm , 2012, 2012 IEEE International Conference on Communications (ICC).

[219]  N. Amjady,et al.  Fuzzy PID based on Firefly Algorithm: Load Frequency Control in Deregulated Environment , 2012 .

[220]  Xin-She Yang,et al.  Free Lunch or no Free Lunch: that is not Just a Question? , 2012, Int. J. Artif. Intell. Tools.

[221]  Meng Guang,et al.  Truss optimization on shape and sizing with frequency constraints based on genetic algorithm , 2005 .

[222]  Janez Brest,et al.  Memetic artificial bee colony algorithm for large-scale global optimization , 2012, 2012 IEEE Congress on Evolutionary Computation.

[223]  Rajkumar Buyya,et al.  Multiobjective differential evolution for scheduling workflow applications on global Grids , 2009, Concurr. Comput. Pract. Exp..

[224]  Gero Muehl,et al.  QoS-based Selection of Services: The Implementation of a Genetic Algorithm , 2011 .

[225]  Milan Tuba,et al.  Parallelized cuckoo search algorithm for unconstrained optimization , 2012 .

[226]  E. E. Universitygusz.  Multi-parent Recombination , 1997 .

[227]  Rafael S. Parpinelli,et al.  New inspirations in swarm intelligence: a survey , 2011, Int. J. Bio Inspired Comput..

[228]  Erik D. Goodman,et al.  Swarmed feature selection , 2004, 33rd Applied Imagery Pattern Recognition Workshop (AIPR'04).

[229]  Sant Sharan Mishra,et al.  Computational Approach to Profit Optimization of a Loss-Queueing System , 2010 .

[230]  Fariborz Mahmoudi,et al.  Non-linear Grayscale Image Enhancement Based on Firefly Algorithm , 2011, SEMCCO.

[231]  Sanjeev Arora,et al.  Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems , 1998, JACM.

[232]  Abdesslem Layeb,et al.  A novel quantum inspired cuckoo search for knapsack problems , 2011, Int. J. Bio Inspired Comput..

[233]  A. E. Eiben,et al.  Introduction to Evolutionary Computing , 2003, Natural Computing Series.

[234]  Zhang Jing,et al.  Service Selection Constraint Model and Optimization Algorithm for Web Service Composition , 2011 .

[235]  Clifford T. Brown,et al.  Lévy Flights in Dobe Ju/’hoansi Foraging Patterns , 2007 .

[236]  P. Lucic,et al.  Bee Colony Optimization: Principles and Applications , 2006, 2006 8th Seminar on Neural Network Applications in Electrical Engineering.

[237]  Jianhua Wu,et al.  An effective global harmony search algorithm for reliability problems , 2011, Expert Syst. Appl..

[238]  C. B. Pop,et al.  Firefly-based business process optimization , 2012, 2012 IEEE 8th International Conference on Intelligent Computer Communication and Processing.

[239]  S. Kazemzadeh Azad,et al.  OPTIMUM DESIGN OF STRUCTURES USINGAN IMPROVED FIREFLYALGORITHM , 2011 .

[240]  Wenbin Wang,et al.  An improved Particle Swarm Optimization Algorithm for QoS-aware Web Service Selection in Service Oriented Communication , 2010, Int. J. Comput. Intell. Syst..

[241]  Godfrey C. Onwubolu,et al.  Differential Evolution: A Handbook for Global Permutation-Based Combinatorial Optimization , 2009 .

[242]  Xin-She Yang,et al.  A Discrete Firefly Algorithm for the Multi-Objective Hybrid Flowshop Scheduling Problems , 2014, IEEE Transactions on Evolutionary Computation.

[243]  Jizhou Sun,et al.  Ant algorithm-based task scheduling in grid computing , 2003, CCECE 2003 - Canadian Conference on Electrical and Computer Engineering. Toward a Caring and Humane Technology (Cat. No.03CH37436).

[244]  Ammar Belatreche,et al.  Pattern Recognition with Spiking Neural Networks and Dynamic Synapses , 2004 .

[245]  A. Dhingra.  Optimal apportionment of reliability and redundancy in series systems under multiple objectives , 1992 .

[246]  Amir Hossein Gandomi,et al.  Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization , 2012, Comput. Math. Appl..

[247]  Alberto Moraglio,et al.  Geometric Differential Evolution on the Space of Genetic Programs , 2010, EuroGP.

[248]  J J Hopfield,et al.  What is a moment? "Cortical" sensory integration over a brief interval. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[249]  Jose Emmanuel Ramirez-Marquez,et al.  Port-of-entry safety via the reliability optimization of container inspection strategy through an evolutionary approach , 2008, Reliab. Eng. Syst. Saf..

[250]  Ming-Huwi Horng,et al.  The Codebook Design of Image Vector Quantization Based on the Firefly Algorithm , 2010, ICCCI.

[251]  Xin-She Yang,et al.  Design optimization of truss structures using cuckoo search algorithm , 2013 .

[252]  Praveen Ranjan Srivastava,et al.  An Efficient Optimization Algorithm for Structural Software Testing , 2012 .

[253]  Chang Liu,et al.  A New Path Planning Method Based on Firefly Algorithm , 2012, 2012 Fifth International Joint Conference on Computational Sciences and Optimization.

[254]  Peng-Yeng Yin,et al.  Task allocation for maximizing reliability of a distributed system using hybrid particle swarm optimization , 2007, J. Syst. Softw..

[255]  Safaai Deris,et al.  An Evolutionary Firefly Algorithm for the Estimation of Nonlinear Biological Model Parameters , 2013, PloS one.

[256]  R. K. Ursem.  Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[257]  Sudhanshu K. Mishra,et al.  CUCKOO SEARCH VIA LÉVY FLIGHTS FOR OPTIMIZATION OF A PHYSICALLY-BASED RUNOFF-EROSION MODEL , 2012 .

[258]  Ken A. Hawick,et al.  Parallel Parametric Optimisation with Firefly Algorithms on Graphical Processing Units , 2012 .

[259]  João Paulo Papa,et al.  Efficient supervised optimum-path forest classification for large datasets , 2012, Pattern Recognit..

[260]  J. Abraham.  An Improved Algorithm for Network Reliability , 1979, IEEE Transactions on Reliability.

[261]  Freddy Lécué,et al.  Optimizing QoS-Aware Semantic Web Service Composition , 2009, SEMWEB.

[262]  J. Rouat,et al.  Exploration of rank order coding with spiking neural networks for speech recognition , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[263]  Claudio M. Rocco Sanseverino,et al.  Solving advanced multi-objective robust designs by means of multiple objective evolutionary algorithms (MOEA): A reliability application , 2007, Reliab. Eng. Syst. Saf..

[264]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[265]  Shahriar Lotfi,et al.  A Hybrid CS/PSO Algorithm for Global Optimization , 2012, ACIIDS.

[266]  Xin-She Yang,et al.  Engineering optimisation by cuckoo search , 2010, Int. J. Math. Model. Numer. Optimisation.

[267]  Yuehui Chen,et al.  A Task Scheduling Algorithm Based on PSO for Grid Computing , 2008 .

[268]  K. Chandrasekaran,et al.  Demand response scheduling in SCUC problem for solar integrated thermal system using firefly algorithm , 2011 .

[269]  Robert B. Cooper,et al.  An Introduction To Queueing Theory , 2016 .

[270]  Pierre Borne,et al.  Firefly Algorithm for Economic Power Dispatching With Pollutants Emission , 2012 .

[271]  Tomas Mauder,et al.  OPTIMIZATION OF THE QUALITY OF CONTINUOUSLY CAST STEEL SLABS USING THE FIREFLY ALGORITHM OPTIMIZACIJA KAKOVOSTI KONTINUIRNO LITE JEKLENE PLO(^E Z UPORABO ALGORITMA "FIREFLY" , 2011 .

[272]  Iztok Fister,et al.  Memetic firefly algorithm for combinatorial optimization , 2012, 1204.5165.

[273]  Austin Henderson,et al.  Interaction design: beyond human-computer interaction , 2002, UBIQ.

[274]  Z. Geem.  Music-Inspired Harmony Search Algorithm: Theory and Applications , 2009 .

[275]  Leandro dos Santos Coelho,et al.  A Multiobjective Firefly Approach Using Beta Probability Distribution for Electromagnetic Optimization Problems , 2013, IEEE Transactions on Magnetics.

[276]  Hui Yan,et al.  An improved ant algorithm for job scheduling in grid computing , 2005, 2005 International Conference on Machine Learning and Cybernetics.

[277]  Li-Pei Wong,et al.  A Bee Colony Optimization Algorithm for Traveling Salesman Problem , 2008, 2008 Second Asia International Conference on Modelling & Simulation (AMS).

[278]  Ahmed Elkeran,et al.  A new approach for sheet nesting problem using guided cuckoo search and pairwise clustering , 2013, Eur. J. Oper. Res..

[279]  Dervis Karaboga,et al.  A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm , 2007, J. Glob. Optim..

[280]  Abdul Hanan Abdullah,et al.  Intelligent task scheduling for computational grid , 2012 .

[281]  Wang Li,et al.  A Web Service Composition Algorithm Based on Global QoS Optimizing with MOCACO , 2010, ICA3PP.

[282]  Kandhasamy Premalatha,et al.  A comparative study of cuckoo search and bat algorithm for Bloom filter optimisation in spam filtering , 2012, Int. J. Bio Inspired Comput..

[283]  Sander M. Bohte,et al.  Error-backpropagation in temporally encoded networks of spiking neurons , 2000, Neurocomputing.

[284]  Geir Hasle,et al.  GPU computing in discrete optimization. Part II: Survey focused on routing problems , 2013, EURO J. Transp. Logist..

[285]  Surafel Luleseged Tilahun,et al.  Vector optimisation using fuzzy preference in evolutionary strategy based firefly algorithm , 2013 .

[286]  Christian Blum,et al.  Hybrid metaheuristics in combinatorial optimization: A survey , 2011, Appl. Soft Comput..

[287]  Herbert Martins Gomes,et al.  Truss optimization with dynamic constraints using a particle swarm algorithm , 2011, Expert Syst. Appl..

[288]  João Paulo Papa,et al.  Feature selection through gravitational search algorithm , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[289]  Simon Fong,et al.  Accelerated Particle Swarm Optimization and Support Vector Machine for Business Optimization and Applications , 2011, NDT.

[290]  P. Barthelemy,et al.  A Lévy flight for light , 2008, Nature.

[291]  Ioan Salomie,et al.  Bio-inspired methods for selecting the optimal web service composition: Bees or cuckoos intelligence? , 2011, Int. J. Bus. Intell. Data Min..

[292]  G. Nagy,et al.  Nonsupervised Crop Classification through Airborne Multispectral Observations , 1972, IBM J. Res. Dev..

[293]  Ken A. Hawick,et al.  Parallel Algorithms for Hybrid Multi-core CPU-GPU Implementations of Component Labelling in Critical Phase Models , 2013 .

[294]  Miguel A. Vega-Rodríguez,et al.  A Multiobjective Proposal Based on the Firefly Algorithm for Inferring Phylogenies , 2013, EvoBIO.

[295]  Xin-She Yang,et al.  Chaos-Enhanced Firefly Algorithm with Automatic Parameter Tuning , 2011, Int. J. Swarm Intell. Res..

[296]  Achintya Das,et al.  Analysis of a Nature Inspired Firefly Algorithm based Back-propagation Neural Network Training , 2012, ArXiv.

[297]  Olympia Roeva,et al.  Optimization of E. coli Cultivation Model Parameters Using Firefly Algorithm , 2012 .

[298]  Helio J. C. Barbosa,et al.  Symbolic regression via genetic programming , 2000, Proceedings. Vol.1. Sixth Brazilian Symposium on Neural Networks.

[299]  U. Hönig,et al.  A Firefly Algorithm-based Approach for Scheduling Task Graphs in Homogeneous Systems , 2010 .

[300]  Gade Pandu Rangaiah,et al.  Evaluation of Covariance Matrix Adaptation Evolution Strategy, Shuffled Complex Evolution and Firefly Algorithms for Phase Stability, Phase Equilibrium and Chemical Equilibrium Problems , 2012 .

[301]  Mehmet Fatih Tasgetiren,et al.  Particle swarm optimization algorithm for single machine total weighted tardiness problem , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[302]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[303]  Marco Aurélio Cavalcanti Pacheco,et al.  Evolving CUDA PTX programs by quantum inspired linear genetic programming , 2011, GECCO.

[304]  Junli Wang,et al.  Optimal Web Service Selection based on Multi-Objective Genetic Algorithm , 2008, 2008 International Symposium on Computational Intelligence and Design.

[305]  Julian Togelius,et al.  Geometric PSO + GP = Particle Swarm Programming , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[306]  Maria Luisa Villani,et al.  An approach for QoS-aware service composition based on genetic algorithms , 2005, GECCO '05.

[307]  Leonardo Vanneschi,et al.  Open issues in genetic programming , 2010, Genetic Programming and Evolvable Machines.

[308]  Zakaria Hussain,et al.  Multilevel thresholding of gel electrophoresis images using firefly algorithm , 2011, 2011 IEEE International Conference on Control System, Computing and Engineering.

[309]  Dervis Karaboga,et al.  Artificial Bee Colony (ABC) Optimization Algorithm for Solving Constrained Optimization Problems , 2007, IFSA.

[310]  Xin-She Yang,et al.  Firefly algorithm with chaos , 2013, Commun. Nonlinear Sci. Numer. Simul..

[311]  Mitsuo Gen,et al.  GA-based reliability design: state-of-the-art survey , 1999 .

[312]  Amine Bermak,et al.  Spike Latency Coding in Biologically Inspired Microelectronic Nose , 2011, IEEE Transactions on Biomedical Circuits and Systems.

[313]  K. Chandrasekaran,et al.  Network and reliability constrained unit commitment problem using binary real coded firefly algorithm , 2012 .

[314]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[315]  Gregory Gutin,et al.  The traveling salesman problem , 2006, Discret. Optim..

[316]  Ahmed T. Sadiq Al-Obaidi,et al.  Improved Scatter Search Using Cuckoo Search , 2013 .

[317]  Rafika Harrabi,et al.  Color image segmentation using multi-level thresholding approach and data fusion techniques: application in the breast cancer cells images , 2012, EURASIP Journal on Image and Video Processing.

[318]  Nor Hazlyna Harun,et al.  Multilevel Thresholding as a Simple Segmentation Technique in Acute Leukemia Images , 2012 .

[319]  Xin-She Yang,et al.  Cuckoo search for business optimization applications , 2012, 2012 NATIONAL CONFERENCE ON COMPUTING AND COMMUNICATION SYSTEMS.

[320]  Hema Banati,et al.  Fire Fly Based Feature Selection Approach , 2011 .

[321]  Luca Podofillini,et al.  Optimal reliability/availability of uncertain systems via multi-objective genetic algorithms , 2004, IEEE Transactions on Reliability.

[322]  Changjun Jiang,et al.  A Novel Discrete Particle Swarm Optimization Algorithm for Job Scheduling in Grids , 2008, 2008 Fourth International Conference on Natural Computation.

[323]  S.E.F. Van Berkel,et al.  Automatic Discovery of Distributed Algorithms for Large-Scale Systems , 2012 .

[324]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[325]  Xin-She Yang,et al.  Multiobjective cuckoo search for design optimization , 2013, Comput. Oper. Res..

[326]  Alberto Moraglio,et al.  Towards a geometric unification of evolutionary algorithms , 2008 .

[327]  Thomas Weise,et al.  Global Optimization Algorithms -- Theory and Application , 2009 .

[328]  Ezequiel A. Di Paolo,et al.  Spike-Timing Dependent Plasticity for Evolved Robots , 2002, Adapt. Behav..

[329]  Saibal K. Pal,et al.  A hybrid Firefly Algorithm using genetic operators for the cryptanalysis of a monoalphabetic substitution cipher , 2011, 2011 World Congress on Information and Communication Technologies.

[330]  Gaige Wang,et al.  A Hybrid Metaheuristic DE/CS Algorithm for UCAV Three-Dimension Path Planning , 2012, TheScientificWorldJournal.

[331]  Seyed Javad Mirabedini,et al.  Combining Cuckoo and Tabu Algorithms for Solving Quadratic Assignment Problems , 2012 .

[332]  Luo Liu,et al.  A hybrid meta-heuristic DE/CS Algorithm for UCAV path planning , 2012 .

[333]  Pinar Civicioglu,et al.  A conceptual comparison of the Cuckoo-search, particle swarm optimization, differential evolution and artificial bee colony algorithms , 2013, Artificial Intelligence Review.

[334]  Xin-She Yang,et al.  A New Metaheuristic Bat-Inspired Algorithm , 2010, NICSO.

[335]  Taufik Abrão,et al.  Anomaly Detection Using Metaheuristic Firefly Harmonic Clustering , 2013, J. Networks.

[336]  Xin-She Yang,et al.  Efficiency Analysis of Swarm Intelligence and Randomization Techniques , 2012, 1303.6342.

[337]  Manuel López-Ibáñez,et al.  Ant colony optimization , 2010, GECCO '10.

[338]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[339]  Guoqiang Li,et al.  Development and investigation of efficient artificial bee colony algorithm for numerical function optimization , 2012, Appl. Soft Comput..

[340]  Pablo Moscato,et al.  On Evolution, Search, Optimization, Genetic Algorithms and Martial Arts : Towards Memetic Algorithms , 1989 .

[341]  Wei Zhou,et al.  An Improved PSO Algorithm and its Application to Grid Scheduling Problem , 2008, ISCSCT.

[342]  Ken A. Hawick,et al.  Geometric Optimisation using Karva for Graphical Processing Units , 2013 .

[343]  Siamak Talatahari,et al.  Optimum design of tower structures using Firefly Algorithm , 2014 .

[344]  Martín Pedemonte,et al.  A survey on parallel ant colony optimization , 2011, Appl. Soft Comput..

[345]  Shyang Chang,et al.  A new criterion for automatic multilevel thresholding , 1995, IEEE Trans. Image Process..

[346]  Darren M. Chitty.  Fast parallel genetic programming: multi-core CPU versus many-core GPU , 2012, Soft Comput..

[347]  Lothar Thiele,et al.  Comparison of Multiobjective Evolutionary Algorithms: Empirical Results , 2000, Evolutionary Computation.

[348]  Way Kuo,et al.  An annotated overview of system-reliability optimization , 2000, IEEE Trans. Reliab..

[349]  Seif-Eddeen K. Fateen,et al.  Cuckoo Search: A new nature-inspired optimization method for phase equilibrium calculations , 2013 .

[350]  A. Gandomi,et al.  Mixed variable structural optimization using Firefly Algorithm , 2011 .

[351]  Marjan Mernik,et al.  Exploration and exploitation in evolutionary algorithms: A survey , 2013, CSUR.

[352]  J. Kwiecień,et al.  Firefly algorithm in optimization of queueing systems , 2012 .

[353]  Mrs. Aruchamy Rajini.  A Hybrid Metaheuristic Algorithm for Classification using Micro array Data , 2012 .

[354]  David P. Feldman,et al.  Chaos and Fractals: An Elementary Introduction , 2012 .

[355]  Ioan Salomie,et al.  Immune-Inspired Method for Selecting the Optimal Solution in Web Service Composition , 2009, RED.

[356]  Kenneth A. Hawick,et al.  Exploiting graphical processing units for data‐parallel scientific applications , 2009, Concurr. Comput. Pract. Exp..

[357]  Ming-Huwi Horng,et al.  Firefly Meta-Heuristic Algorithm for Training the Radial Basis Function Network for Data Classification and Disease Diagnosis , 2012 .

[358]  Yongquan Zhou,et al.  A Novel Complex Valued Cuckoo Search Algorithm , 2013, TheScientificWorldJournal.

[359]  Ronald W. Morrison,et al.  Designing Evolutionary Algorithms for Dynamic Environments , 2004, Natural Computing Series.

[360]  Razamin Ramli,et al.  Recent advancements of nurse schedulingmodels and a potential path , 2010 .

[361]  Mitsuo Gen,et al.  Soft computing approach for reliability optimization: State-of-the-art survey , 2006, Reliab. Eng. Syst. Saf..

[362]  B. Filipowicz,et al.  Queueing systems and networks. Models and applications , 2008 .

[363]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

[364]  Yong Liu,et al.  A GA-based NN approach for makespan estimation , 2007, Appl. Math. Comput..

[365]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[366]  Erik Maehle,et al.  Firefly Flashing Synchronization as Inspiration for Self-synchronization of Walking Robot Gait Patterns Using a Decentralized Robot Control Architecture , 2010, ARCS.

[367]  Sebastián Ventura,et al.  Parallel multi-objective Ant Programming for classification using GPUs , 2013, J. Parallel Distributed Comput..

[368]  Qidi Wu,et al.  Modified Adaptive Cuckoo Search (MACS) algorithm and formal description for global optimisation , 2012, Int. J. Comput. Appl. Technol..

[369]  Fabio Daolio,et al.  Evaluation of parallel particle swarm optimization algorithms within the CUDA™ architecture , 2011, Inf. Sci..

[370]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[371]  Russell C. Eberhart,et al.  A discrete binary version of the particle swarm algorithm , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[372]  Way Kuo,et al.  A Note on Heuristic Methods in Optimal System Reliability , 1978, IEEE Transactions on Reliability.

[373]  Georgios Dounias,et al.  Experimental Study on a Hybrid Nature-Inspired Algorithm for Financial Portfolio Optimization , 2010, SETN.

[374]  Julian Togelius,et al.  Geometric particle swarm optimization , 2008 .

[375]  Nelson Jhoe Batistela,et al.  Multiobjective Cuckoo Search Algorithm Based on Duffing's Oscillator Applied to Jiles-Atherton Vector Hysteresis Parameters Estimation , 2013, IEEE Transactions on Magnetics.

[376]  Amar Hamzi,et al.  Wind farm reliability optimization using ant colony algorithm under performance and cost constraints , 2015 .

[377]  Yolande Berbers,et al.  Genetic algorithm-based optimization of service composition and deployment , 2008, SIPE '08.

[378]  Shahriar Lotfi,et al.  A Hybrid CS/GA Algorithm for Global Optimization , 2011, SocProS.

[379]  Oubay Hassan,et al.  Selected Engineering Applications of Gradient Free Optimisation Using Cuckoo Search and Proper Orthogonal Decomposition , 2013 .

[380]  João Paulo Papa,et al.  Supervised pattern classification based on optimum‐path forest , 2009, Int. J. Imaging Syst. Technol..

[381]  Xin-She Yang,et al.  Cuckoo search for inverse problems and simulated-driven shape optimization , 2012, J. Comput. Methods Sci. Eng..

[382]  Y. Hsieh,et al.  Genetic algorithms for reliability design problems , 1998 .

[383]  P. Luangpaiboon,et al.  Simulated Manufacturing Process Improvement via Particle Swarm Optimisation and Firefly Algorithms , 2011 .

[384]  K. Chandrasekaran,et al.  Multi-objective scheduling problem: Hybrid approach using fuzzy assisted cuckoo search algorithm , 2012, Swarm Evol. Comput..

[385]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[386]  Nihad Dib,et al.  Circular antenna array synthesis using firefly algorithm , 2014 .

[387]  A. E. Eiben,et al.  Parameter tuning for configuring and analyzing evolutionary algorithms , 2011, Swarm Evol. Comput..

[388]  Magdalene Marinaki,et al.  Honey Bees Mating Optimization algorithm for financial classification problems , 2010, Appl. Soft Comput..

[389]  S. N. Omkar,et al.  Applied Soft Computing Artificial Bee Colony (abc) for Multi-objective Design Optimization of Composite Structures , 2022 .

[390]  Taher Niknam,et al.  An Adaptive Modified Firefly Optimisation Algorithm based on Hong's Point Estimate Method to optimal operation management in a microgrid with consideration of uncertainties , 2013 .

[391]  N. Poursalehi,et al.  Continuous firefly algorithm applied to PWR core pattern enhancement , 2013 .

[392]  Janez Brest,et al.  A comprehensive review of firefly algorithms , 2013, Swarm Evol. Comput..

[393]  Stefan Dulman,et al.  Automatic discovery of algorithms for multi-agent systems , 2012, GECCO '12.

[394]  Wolfgang Maass,et al.  Networks of Spiking Neurons: The Third Generation of Neural Network Models , 1996, Electron. Colloquium Comput. Complex..

[395]  M. Tuba,et al.  Parallelization of the Firefly Algorithm for Unconstrained Optimization Problems , 2012 .

[396]  Ta-Cheng Chen,et al.  IAs based approach for reliability redundancy allocation problems , 2006, Appl. Math. Comput..

[397]  Chai Wutiwiwatchai,et al.  Musical pitch estimation using a supervised single hidden layer feed-forward neural network , 2013, Expert Syst. Appl..

[398]  Narayana Prasad Padhy,et al.  Binary real coded firefly algorithm for solving unit commitment problem , 2013, Inf. Sci..

[399]  Kalyanmoy Deb,et al.  A Comparative Analysis of Selection Schemes Used in Genetic Algorithms , 1990, FOGA.

[400]  Iztok Fister,et al.  A hybrid bat algorithm , 2013, ArXiv.

[401]  Cândida Ferreira,et al.  Gene Expression Programming: A New Adaptive Algorithm for Solving Problems , 2001, Complex Syst..

[402]  Milan Tuba,et al.  An ant colony optimization algorithm with improved pheromone correction strategy for the minimum weight vertex cover problem , 2011, Appl. Soft Comput..

[403]  G. Croes.  A Method for Solving Traveling-Salesman Problems , 1958 .

[404]  Marjan Mernik,et al.  Analysis of exploration and exploitation in evolutionary algorithms by ancestry trees , 2011 .

[405]  João Paulo Papa,et al.  A novel algorithm for feature selection using Harmony Search and its application for non-technical losses detection , 2011, Comput. Electr. Eng..

[406]  Mohammad Reza Meybodi,et al.  A Gaussian Firefly Algorithm , 2011 .

[407]  Bin Zhang,et al.  Task Scheduling in Grid Based on Particle Swarm Optimization , 2006, 2006 Fifth International Symposium on Parallel and Distributed Computing.

[408]  Hossein Nezamabadi-pour,et al.  GSA: A Gravitational Search Algorithm , 2009, Inf. Sci..

[409]  G. K. Mahanti,et al.  Design of a Fully Digital Controlled Reconfigurable Switched Beam Concentric Ring Array Antenna Using Firefly and Particle Swarm Optimization Algorithm , 2012 .

[410]  Suyanto,et al.  Evolutionary Discrete Firefly Algorithm for Travelling Salesman Problem , 2011, ICAIS.

[411]  Reza Entezari-Maleki,et al.  A Genetic Algorithm to Increase the Throughput of the Computational Grids 1 , 2011 .

[412]  Reza Akbari,et al.  Using Firefly Algorithm to Solve Resource Constrained Project Scheduling Problem , 2012, BIC-TA.

[413]  Jr. Shaler Stidham.  Optimal Design of Queueing Systems , 2009 .

[414]  A. Abraham,et al.  Scheduling jobs on computational grids using a fuzzy particle swarm optimization algorithm , 2010, Future Gener. Comput. Syst..

[415]  G. K. Mahanti,et al.  Thinning of concentric two-ring circular array antenna using fire fly algorithm , 2012, Sci. Iran..

[416]  G. P. McKeown,et al.  Optimization Software Class Libraries , 2002, Operations Research/Computer Science Interfaces Series.

[417]  Amir Hossein Gandomi,et al.  Evolutionary boundary constraint handling scheme , 2012, Neural Computing and Applications.

[418]  László Györfi,et al.  A Probabilistic Theory of Pattern Recognition , 1996, Stochastic Modelling and Applied Probability.

[419]  Elizabeth A. Baldwin,et al.  Electronic Noses and Tongues: Applications for the Food and Pharmaceutical Industries , 2011, Sensors.

[420]  Hisao Ishibuchi,et al.  Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling , 2003, IEEE Trans. Evol. Comput..

[421]  Amir Hossein Gandomi,et al.  Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems , 2011, Engineering with Computers.

[422]  M. Sayadi,et al.  A discrete firefly meta-heuristic with local search for makespan minimization in permutation flow shop scheduling problems , 2010 .

[423]  Praveen Ranjan Srivastava,et al.  Test sequence optimisation: an intelligent approach via cuckoo search , 2012, Int. J. Bio Inspired Comput..

[424]  Kamran Zamanifar,et al.  A Novel Particle Swarm Optimization Approach for Grid Job Scheduling , 2009, ICISTM.

[425]  Dusan Teodorovic,et al.  Bee Colony Optimization (BCO) , 2009, Innovations in Swarm Intelligence.

[426]  L. W. de Oliveira,et al.  Cuckoo Search Optimization technique applied to capacitor placement on distribution system problem , 2012, 2012 10th IEEE/IAS International Conference on Industry Applications.

[427]  Maria Luisa Villani,et al.  A framework for QoS-aware binding and re-binding of composite web services , 2008, J. Syst. Softw..

[428]  Xin-She Yang,et al.  Multi-Objective Flower Algorithm for Optimization , 2014, ICCS.

[429]  D. Wang,et al.  Truss Optimization on Shape and Sizing with Frequency Constraints , 2004 .

[430]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints - A review , 1992 .

[431]  Nicolas E. Humphries,et al.  Foraging success of biological Lévy flights recorded in situ , 2012, Proceedings of the National Academy of Sciences.

[432]  Eugene M. Izhikevich,et al.  Which model to use for cortical spiking neurons? , 2004, IEEE Transactions on Neural Networks.

[433]  Janez Brest,et al.  Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems , 2006, IEEE Transactions on Evolutionary Computation.

[434]  Clayton R. Pereira,et al.  Optimum-Path Forest Pruning Parameter Estimation through Harmony Search , 2011, 2011 24th SIBGRAPI Conference on Graphics, Patterns and Images.

[435]  Herbert Martins Gomes,et al.  A Particle Swarm Optimization Algorithm for Truss Optimization on Shape and Size with Dynamic Constraints , 2010 .

[436]  Ken A. Hawick,et al.  Visualisation of Combinatorial Program Space and Related Metrics , 2013 .

[437]  Ajith Abraham,et al.  Scheduling Jobs on Computational Grids Using Fuzzy Particle Swarm Algorithm , 2006, KES.

[438]  Zengru Di,et al.  Toward a general understanding of the scaling laws in human and animal mobility , 2010, 1008.4394.

[439]  Chi-Chun Lo,et al.  On optimal decision for QoS-aware composite service selection , 2010, Expert Syst. Appl..

[440]  Tai Hyun Park,et al.  Recent advances in electronic and bioelectronic noses and their biomedical applications. , 2011, Enzyme and microbial technology.

[441]  Xin-She Yang,et al.  Metaheuristic Optimization: Algorithm Analysis and Open Problems , 2011, SEA.

[442]  Pradipta Kishore Dash,et al.  Local linear wavelet neural network based breast tumor classification using firefly algorithm , 2012, Neural Computing and Applications.

[443]  Christian Blum,et al.  Metaheuristics in combinatorial optimization: Overview and conceptual comparison , 2003, CSUR.

[444]  Ming-Huwi Horng,et al.  Multilevel Image Thresholding Selection Based on the Firefly Algorithm , 2010, 2010 7th International Conference on Ubiquitous Intelligence & Computing and 7th International Conference on Autonomic & Trusted Computing.

[445]  Taher Niknam,et al.  A new multi-objective reserve constrained combined heat and power dynamic economic emission dispatch , 2012 .

[446]  Janez Brest,et al.  Modified firefly algorithm using quaternion representation , 2013, Expert Syst. Appl..

[447]  Lenan Wu,et al.  Solving Two-Dimensional HP Model by Firefly Algorithm and Simplified Energy Function , 2013 .

[448]  Shyi-Ming Chen,et al.  Solving the traveling salesman problem based on the genetic simulated annealing ant colony system with particle swarm optimization techniques , 2011, Expert Syst. Appl..

[449]  Marcos André Gonçalves,et al.  A Genetic Programming Approach to Record Deduplication , 2012, IEEE Transactions on Knowledge and Data Engineering.

[450]  Xin-She Yang,et al.  Engineering Optimization: An Introduction with Metaheuristic Applications , 2010 .

[451]  Peng-Yeng Yin,et al.  Multilevel minimum cross entropy threshold selection based on particle swarm optimization , 2007, Appl. Math. Comput..

[452]  W. Kuo,et al.  Optimization limits in improving system reliability , 1990 .

[453]  Sasmita Kumari Padhy,et al.  A novel algorithm for dynamic task scheduling , 2012, Future Gener. Comput. Syst..

[454]  D. Manimegalai,et al.  Efficient Job Scheduling on Computational Grid with Differential Evolution Algorithm , 2011 .

[455]  G. F. Hughes,et al.  On the mean accuracy of statistical pattern recognizers , 1968, IEEE Trans. Inf. Theory.

[456]  Lei Zhang,et al.  Task Scheduling Based on PSO Algorithm in Computational Grid , 2006, Sixth International Conference on Intelligent Systems Design and Applications.

[457]  Ajith Abraham,et al.  A DISCRETE PARTICLE SWARM OPTIMIZATION APPROACH FOR GRID JOB SCHEDULING , 2009 .