Optimizing a bi-objective inventory model of a three-echelon supply chain using a tuned hybrid bat algorithm

This paper presents a bi-objective VMI problem in a single manufacturer-single vendor multi-retailer (SM-SV-MR) supply chain, which a redundancy allocation problem is incorporated. In the hybridized problem, a manufacturer produces a single item using several machines that work in series, and stores it in a warehouse to replenish one vendor who delivers it to several retailers using the shortest possible route. A novel meta-heuristic, called hybrid bat algorithm (HBA), with calibrated parameters is utilized to find a near-optimum solution. To show the efficiency of HBA, the results are compared to the ones using the traditional BA and a genetic algorithm.

[1]  Barun Das,et al.  Optimal transportation and business cycles in an integrated production-inventory model with a discrete credit period , 2014 .

[2]  Jen-Ming Chen,et al.  Channel coordination under consignment and vendor-managed inventory in a distribution system , 2010 .

[3]  Genichi Taguchi,et al.  Taguchi's Quality Engineering Handbook , 2004 .

[4]  Manju Agarwal,et al.  Ant colony optimization approach to heterogeneous redundancy in multi-state systems with multi-state components , 2009, 2009 8th International Conference on Reliability, Maintainability and Safety.

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

[6]  Jafar Razmi,et al.  Optimizing an integrated vendor-managed inventory system for a single-vendor two-buyer supply chain with determining weighting factor for vendor׳s ordering cost , 2014 .

[7]  Sadeghi Javad,et al.  A parameter-tuned Genetic Algorithm for Vendor Managed Inventory Model for a Case Single-vendor Single-retailer with Multi-product and Multi-constraint , 2011 .

[8]  Kin Keung Lai,et al.  Integration of Inventory and Transportation Decisions in a Logistics System , 2010 .

[9]  Koffka Khan,et al.  A Comparison of BA, GA, PSO, BP and LM for Training Feed forward Neural Networks in e-Learning Context , 2012 .

[10]  Ali H. Diabat Hybrid algorithm for a vendor managed inventory system in a two-echelon supply chain , 2014, Eur. J. Oper. Res..

[11]  M. Dresner,et al.  The Inventory Value of Information Sharing, Continuous Replenishment, and Vendor-Managed Inventory , 2008 .

[12]  Xin Yao,et al.  A multi-objective approach to Redundancy Allocation Problem in parallel-series systems , 2009, 2009 IEEE Congress on Evolutionary Computation.

[13]  Shine-Der Lee,et al.  Joint production and delivery lot sizing for a make-to-order producer–buyer supply chain with transportation cost , 2014 .

[14]  Yan Dong,et al.  A supply chain model of vendor managed inventory , 2002 .

[15]  S. Goyal “A JOINT ECONOMIC‐LOT‐SIZE MODEL FOR PURCHASER AND VENDOR”: A COMMENT* , 1988 .

[16]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[17]  S. K. Goyal,et al.  An application of Genetic Algorithm in solving an inventory model with advance payment and interval valued inventory costs , 2009, Math. Comput. Model..

[18]  R. M. Hill,et al.  Another look at the single-vendor single-buyer integrated production-inventory problem , 2006 .

[19]  S. Zanoni,et al.  A one-vendor multi-buyer integrated production-inventory model: The 'Consignment Stock' case , 2009 .

[20]  Wei-Chang Yeh,et al.  Solving reliability redundancy allocation problems using an artificial bee colony algorithm , 2011, Comput. Oper. Res..

[21]  L. Liang,et al.  A vendor managed inventory supply chain with deteriorating raw materials and products , 2012 .

[22]  Mitsuo Gen,et al.  Genetic algorithms and engineering design , 1997 .

[23]  Maw-Sheng Chern,et al.  On the computational complexity of reliability redundancy allocation in a series system , 1992, Oper. Res. Lett..

[24]  N. Jawahar,et al.  A genetic algorithm for optimal operating parameters of VMI system in a two-echelon supply chain , 2007, Eur. J. Oper. Res..

[25]  C. Thierry,et al.  A review of Vendor Managed Inventory (VMI): from concept to processes , 2010 .

[26]  Peter Wanke,et al.  Product, operation, and demand relationships between manufacturers and retailers , 2012 .

[27]  Jiazhen Huo,et al.  Buyer–vendor inventory coordination with quantity discount incentive for fixed lifetime product , 2010 .

[28]  Brian G. Kingsman,et al.  Coordination in a single-vendor multi-buyer supply chain by synchronizing delivery and production cycles , 2007 .

[29]  S. T. A. Niaki,et al.  Capacitated location allocation problem with stochastic location and fuzzy demand: A hybrid algorithm , 2013 .

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

[31]  Seyed Taghi Akhavan Niaki,et al.  Optimization of vendor managed inventory of multiproduct EPQ model with multiple constraints using genetic algorithm , 2014 .

[32]  S. Disney,et al.  THE IMPACT OF VENDOR MANAGED INVENTORY ON TRANSPORT OPERATIONS , 2003 .

[33]  Felix T. S. Chan,et al.  Optimizing replenishment polices using Genetic Algorithm for single-warehouse multi-retailer system , 2012, Expert Syst. Appl..

[34]  R. Roy A Primer on the Taguchi Method , 1990 .

[35]  Chengbin Chu,et al.  Optimal selection of retailers for a manufacturing vendor in a vendor managed inventory system , 2013, Eur. J. Oper. Res..

[36]  George Q. Huang,et al.  An Integrated Pricing and Deteriorating Model and a Hybrid Algorithm for a VMI (Vendor-Managed-Inventory) Supply Chain , 2011, IEEE Transactions on Automation Science and Engineering.

[37]  Yong Wang,et al.  Heterogeneous Redundancy Allocation for Series-Parallel Multi-State Systems Using Hybrid Particle Swarm Optimization and Local Search , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[38]  Carlos García-Martínez,et al.  Hybrid metaheuristics with evolutionary algorithms specializing in intensification and diversification: Overview and progress report , 2010, Comput. Oper. Res..

[39]  N. Jawahar,et al.  A hybrid cuckoo search and genetic algorithm for reliability-redundancy allocation problems , 2013, Comput. Ind. Eng..

[40]  James W. Thatcher,et al.  Complexity of computer computations : proceedings , 1972 .

[41]  Stig Arne Mattsson,et al.  Framework for characterizing the design of VMI systems , 2007 .

[42]  Seyed Taghi Akhavan Niaki,et al.  Lexicographic max-min approach for an integrated vendor-managed inventory problem , 2014, Knowl. Based Syst..

[43]  Alice E. Smith,et al.  Efficiently Solving the Redundancy Allocation Problem Using Tabu Search , 2003 .

[44]  Yan Dong,et al.  Environmental determinants of VMI adoption: An exploratory analysis , 2007 .

[45]  David W. Coit,et al.  Reliability optimization of series-parallel systems using a genetic algorithm , 1996, IEEE Trans. Reliab..

[46]  D. Y. Sha,et al.  A hybrid particle swarm optimization for job shop scheduling problem , 2006, Comput. Ind. Eng..

[47]  M. Clerc,et al.  Particle Swarm Optimization , 2006 .

[48]  David W. Pentico,et al.  A survey of deterministic models for the EOQ and EPQ with partial backordering , 2011, Eur. J. Oper. Res..

[49]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[50]  Koffka Khan,et al.  Swarm-Optimization-Based Affective Product Design Illustrated by a Mobile Phone Case-Study , 2012 .

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

[52]  M. Braglia,et al.  Modelling an industrial strategy for inventory management in supply chains: The 'Consignment Stock' case , 2003 .

[53]  Jian Ma,et al.  Non-linear integer programming by Darwin and Boltzmann mixed strategy , 1998, Eur. J. Oper. Res..

[54]  Chieh-Li Chen,et al.  Evolutionary algorithm to traveling salesman problems , 2012, Comput. Math. Appl..

[55]  Gudrun P. Kiesmüller,et al.  The benefit of VMI strategies in a stochastic multi-product serial two echelon system , 2010, Comput. Oper. Res..

[56]  Philip M. Kaminsky,et al.  Designing and managing the supply chain : concepts, strategies, and case studies , 2007 .

[57]  Seyed Taghi Akhavan Niaki,et al.  Optimizing a multi-vendor multi-retailer vendor managed inventory problem: Two tuned meta-heuristic algorithms , 2013, Knowl. Based Syst..

[58]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[59]  Xin-She Yang,et al.  Optimization and Metaheuristic Algorithms in Engineering , 2013 .

[60]  Yuliang Yao,et al.  Supply chain integration in vendor-managed inventory , 2007, Decis. Support Syst..

[61]  Mohammed A. Darwish,et al.  Vendor managed inventory model for single-vendor multi-retailer supply chains , 2010, Eur. J. Oper. Res..

[62]  Yanchun Liang,et al.  Particle swarm optimization-based algorithms for TSP and generalized TSP , 2007, Inf. Process. Lett..

[63]  Hoang Pham,et al.  Handbook of reliability engineering , 2013 .

[64]  P. Shahabudeen,et al.  Replenishment policies for sustainable business development in a continuous credit based vendor managed inventory distribution system , 2009, Comput. Ind. Eng..

[65]  Richard C. Larson,et al.  Period and phase of customer replenishment: A new approach to the Strategic Inventory/Routing problem , 1995 .

[66]  Mitsuo Gen,et al.  Genetic algorithm for non-linear mixed integer programming problems and its applications , 1996 .

[67]  Seyed Taghi Akhavan Niaki,et al.  A genetic algorithm for vendor managed inventory control system of multi-product multi-constraint economic order quantity model , 2011, Expert Syst. Appl..

[68]  Suresh Kumar Goyal,et al.  A one-vendor multi-buyer integrated inventory model: A comment , 1995 .

[69]  Leopoldo Eduardo Cárdenas-Barrón,et al.  A simple and better algorithm to solve the vendor managed inventory control system of multi-product multi-constraint economic order quantity model , 2012, Expert Syst. Appl..

[70]  Fatih Mutlu,et al.  An Integrated Model for Stock Replenishment and Shipment Scheduling Under Common Carrier Dispatch Costs , 2010 .

[71]  Way Kuo,et al.  Recent Advances in Optimal Reliability Allocation , 2007, IEEE Trans. Syst. Man Cybern. Part A.

[72]  Jafar Heydari,et al.  Lead time variation control using reliable shipment equipment: An incentive scheme for supply chain coordination , 2014 .

[73]  Patrick Siarry,et al.  A survey on optimization metaheuristics , 2013, Inf. Sci..

[74]  K. Sari Exploring the benefits of vendor managed inventory , 2007 .

[75]  Leandro dos Santos Coelho,et al.  A harmony search algorithm combined with differential operator applied to reliability-redundancy optimization , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.