A hybrid whale optimization algorithm based on local search strategy for the permutation flow shop scheduling problem

Abstract The flow shop scheduling problem is one of the most important types of scheduling with a large number of real-world applications. In this paper, we propose a new algorithm that integrates the Whale Optimization Algorithm (WOA) with a local search strategy for tackling the permutation flow shop scheduling problem. The Largest Rank Value (LRV) requires the algorithm to deal with the discrete search space of the problem. The diversity of candidate schedules is improved using a swap mutation operation as well. In addition to the insert-reversed block operation is adopted to escape from the local optima. The proposed hybrid whale algorithm (HWA) is incorporated with Nawaz–Enscore–Ham (NEH) to improve the performance of the algorithm. It is observed that HWA gives competitive results compared to the existing algorithms.

[1]  R. A. Dudek,et al.  A Heuristic Algorithm for the n Job, m Machine Sequencing Problem , 1970 .

[2]  D. Davendra,et al.  Scheduling flow shops with blocking using a discrete self-organising migrating algorithm , 2013 .

[3]  S. M. Johnson,et al.  Optimal two- and three-stage production schedules with setup times included , 1954 .

[4]  Quan-Ke Pan,et al.  Effective heuristics for the no-wait flow shop scheduling problem with total flow time minimization , 2013 .

[5]  Minghao Yin,et al.  A hybrid cuckoo search via Lévy flights for the permutation flow shop scheduling problem , 2013 .

[6]  Kannan Govindan,et al.  A hybrid approach for minimizing makespan in permutation flowshop scheduling , 2017 .

[7]  M. Yamashiro,et al.  Solving flow shop scheduling problems by quantum differential evolutionary algorithm , 2010 .

[8]  Lin-Yu Tseng,et al.  A hybrid genetic algorithm for no-wait flowshop scheduling problem , 2010 .

[9]  Fardin Ahmadizar,et al.  A new ant colony algorithm for makespan minimization in permutation flow shops , 2012, Comput. Ind. Eng..

[10]  Diego Oliva,et al.  Parameter estimation of photovoltaic cells using an improved chaotic whale optimization algorithm , 2017 .

[11]  Christos D. Tarantilis,et al.  Minimizing makespan in permutation flow shop scheduling problems using a hybrid metaheuristic algorithm , 2009, Comput. Oper. Res..

[12]  Kannan Govindan,et al.  Rule based heuristic approach for minimizing total flow time in permutation flow shop scheduling , 2015 .

[13]  Yongquan Zhou,et al.  Discrete Bat Algorithm for Optimal Problem of Permutation Flow Shop Scheduling , 2014, TheScientificWorldJournal.

[14]  Liang Gao,et al.  A hybrid backtracking search algorithm for permutation flow-shop scheduling problem minimizing makespan and energy consumption , 2015, 2017 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM).

[15]  Mariappan Kadarkarainadar Marichelvam,et al.  Hybrid monkey search algorithm for flow shop scheduling problem under makespan and total flow time , 2017, Appl. Soft Comput..

[16]  C. Lakshminarayana,et al.  Optimal siting of capacitors in radial distribution network using Whale Optimization Algorithm , 2017 .

[17]  Rui Zhang,et al.  A novel block-shifting simulated annealing algorithm for the no-wait flowshop scheduling problem , 2015, 2015 IEEE Congress on Evolutionary Computation (CEC).

[18]  Mehmet Fatih Tasgetiren,et al.  A particle swarm optimization algorithm for makespan and total flowtime minimization in the permutation flowshop sequencing problem , 2007, Eur. J. Oper. Res..

[19]  Éric D. Taillard,et al.  Benchmarks for basic scheduling problems , 1993 .

[20]  Inyong Ham,et al.  A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem , 1983 .

[21]  Jack Heller,et al.  Some Numerical Experiments for an M × J Flow Shop and its Decision-Theoretical Aspects , 1960 .

[22]  Mehmet Fatih Tasgetiren,et al.  Iterated greedy algorithms for the blocking flowshop scheduling problem with makespan criterion , 2017, Comput. Oper. Res..

[23]  Ying Liu,et al.  An effective differential evolution algorithm for permutation flow shop scheduling problem , 2014, Appl. Math. Comput..

[24]  Colin R. Reeves,et al.  A genetic algorithm for flowshop sequencing , 1995, Comput. Oper. Res..

[25]  M Rajkumar,et al.  Minimizing makespan and total flow time in permutation flow shop scheduling problems using modified gravitational emulation local search algorithm , 2018 .

[26]  Dantong Ouyang,et al.  A hybrid alternate two phases particle swarm optimization algorithm for flow shop scheduling problem , 2010, Comput. Ind. Eng..

[27]  Mariappan Kadarkarainadar Marichelvam,et al.  Hybrid bat algorithm for flow shop scheduling problems , 2016, Int. J. Math. Oper. Res..

[28]  Ling Wang,et al.  A hybrid differential evolution method for permutation flow-shop scheduling , 2008 .

[29]  Xinyu Shao,et al.  An effective hybrid teaching-learning-based optimization algorithm for permutation flow shop scheduling problem , 2014, Adv. Eng. Softw..

[30]  D. S. Palmer.  Sequencing Jobs Through a Multi-Stage Process in the Minimum Total Time—A Quick Method of Obtaining a Near Optimum , 1965 .

[31]  Abdelghani Bekrar,et al.  Whale optimization algorithm based optimal reactive power dispatch: A case study of the Algerian power system , 2017, Electric Power Systems Research.

[32]  Raymond Chiong,et al.  An improved iterated greedy algorithm with a Tabu-based reconstruction strategy for the no-wait flowshop scheduling problem , 2015, Appl. Soft Comput..

[33]  M. Saravanan,et al.  Scheduling to Minimize the Sum of Weighted Total Flow Time and Makespan in a Permutation Flow Shop with Setup Time , 2015 .

[34]  Quan-Ke Pan,et al.  An improved iterated greedy algorithm for the no-wait flow shop scheduling problem with makespan criterion , 2008 .

[35]  Mehmet Fatih Tasgetiren,et al.  A Discrete Differential Evolution Algorithm for the No-Wait Flowshop Scheduling Problem with Total Flowtime Criterion , 2007, 2007 IEEE Symposium on Computational Intelligence in Scheduling.

[36]  Jatinder N. D. Gupta,et al.  A Functional Heuristic Algorithm for the Flowshop Scheduling Problem , 1971 .

[37]  Jacques Carlier,et al.  Ordonnancements à contraintes disjonctives , 1978 .

[38]  Andrew Lewis,et al.  The Whale Optimization Algorithm , 2016, Adv. Eng. Softw..

[39]  Xingsheng Gu,et al.  A novel particle swarm optimization algorithm for permutation flow-shop scheduling to minimize makespan ☆ , 2008 .

[40]  Ali Kaveh,et al.  Enhanced whale optimization algorithm for sizing optimization of skeletal structures , 2017 .

[41]  Hossam Faris,et al.  Optimizing connection weights in neural networks using the whale optimization algorithm , 2016, Soft Computing.

[42]  Mehmet Fatih Tasgetiren,et al.  A hybrid harmony search algorithm for the blocking permutation flow shop scheduling problem , 2011, Comput. Ind. Eng..

[43]  Xiangtao Li,et al.  An opposition-based differential evolution algorithm for permutation flow shop scheduling based on diversity measure , 2013, Adv. Eng. Softw..

[44]  Yi Zhang,et al.  A discrete Water Wave Optimization algorithm for no-wait flow shop scheduling problem , 2018, Expert Syst. Appl..

[45]  Hui Wang,et al.  A new cuckoo search algorithm with hybrid strategies for flow shop scheduling problems , 2016, Soft Computing.

[46]  Andreas C. Nearchou,et al.  The effect of various operators on the genetic search for large scheduling problems , 2004 .

[47]  Jigui Sun,et al.  An alternate two phases particle swarm optimization algorithm for flow shop scheduling problem , 2009, Expert Syst. Appl..

[48]  Xin-She Yang,et al.  Improved cuckoo search algorithm for hybrid flow shop scheduling problems to minimize makespan , 2014, Appl. Soft Comput..

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

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

[51]  Bo Liu,et al.  An Effective PSO-Based Memetic Algorithm for Flow Shop Scheduling , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[52]  Simon Fong,et al.  Solving the Permutation Flow Shop Problem with Firefly Algorithm , 2014, 2014 2nd International Symposium on Computational and Business Intelligence.