Optimizing Complex Multi-location Inventory Models Using Particle Swarm Optimization

The efficient control of logistics systems is a complicated task. Analytical models allow to estimate the effect of certain policies. However, they necessitate the introduction of simplifying assumptions, and therefore, their scope is limited. To surmount these restrictions, we use Simulation Optimization by coupling a simulator that evaluates the performance of the system with an optimizer. This idea is illustrated for a very general class of multi-location inventory models with lateral transshipments. We discuss the characteristics of such models and introduce Particle Swarm Optimization for their optimization. Experimental studies show the applicability of this approach.

[1]  Fred W. Glover,et al.  Simulation optimization: a review, new developments, and applications , 2005, Proceedings of the Winter Simulation Conference, 2005..

[2]  Michael C. Fu,et al.  Estimating customer service in a two-location continuous review inventory model with emergency transshipments , 2003, Eur. J. Oper. Res..

[3]  Anil Kukreja,et al.  A model for lumpy demand parts in a multi-location inventory system with transshipments , 2005, Comput. Oper. Res..

[4]  Hannes Werthner,et al.  An integrated simulation and optimization modelling environment for decision support , 1996, Decis. Support Syst..

[5]  Yun Zhu,et al.  A hybrid simulation optimization method for production planning of dedicated remanufacturing , 2009 .

[6]  Peter Köchel,et al.  Evolutionäre Algorithmen zur Optimierung von Mehr-Lager-Systemen mit Transport , 1996 .

[7]  Peter Köchel,et al.  Simulation-based sequencing and lot size optimisation for a production-and-inventory system with multiple items , 2006 .

[8]  Stefan Minner,et al.  An improved heuristic for deciding on emergency transshipments , 2003, Eur. J. Oper. Res..

[9]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[10]  Enver Yücesan,et al.  Multi-location transshipment problem with capacitated transportation , 2006, Eur. J. Oper. Res..

[11]  Philip T. Evers,et al.  Heuristics for assessing emergency transshipments , 2001, Eur. J. Oper. Res..

[12]  M. Tzur,et al.  The multilocation transshipment problem , 2006 .

[13]  Peter Köchel,et al.  Search for good policies in a single-warehouse, multi-retailer system by particle swarm optimisation , 2011 .

[14]  Michael N. Vrahatis,et al.  Particle Swarm Optimization for Tackling Continuous Review Inventory Models , 2008, EvoWorkshops.

[15]  Dylan F. Jones,et al.  Multi-objective simulation optimization through search heuristics and relational database analysis , 2008, Decis. Support Syst..

[16]  Peter Köchel Über die optimale lagerhaltung in einem system von lagern: eine näherugslösung , 1977 .

[17]  Chuang-Chun Chiou,et al.  Transshipment Problems in Supply ChainSystems: Review and Extensions , 2008 .

[18]  Jun Zhang,et al.  Solving the flight frequency programming problem with particle swarm optimization , 2009, 2009 IEEE Congress on Evolutionary Computation.

[19]  Tsu-Pang Hsieh,et al.  A particle swarm optimization for solving joint pricing and lot-sizing problem with fluctuating demand and unit purchasing cost , 2010, Comput. Math. Appl..

[20]  Anil Kukreja,et al.  Stocking Decisions for Low-Usage Items in a Multilocation Inventory System , 2001, Manag. Sci..

[21]  Enver Yücesan,et al.  Stochastic optimization for transshipment problems with positive replenishment lead times , 2012 .

[22]  Rolf Drechsler,et al.  Applications of Evolutionary Computing, EvoWorkshops 2008: EvoCOMNET, EvoFIN, EvoHOT, EvoIASP, EvoMUSART, EvoNUM, EvoSTOC, and EvoTransLog, Naples, Italy, March 26-28, 2008. Proceedings , 2008, EvoWorkshops.

[23]  Khaled Ghédira,et al.  Evolutionary multiobjective optimization of the multi-location transshipment problem , 2008, Oper. Res..

[24]  Lawrence W. Robinson,et al.  Optimal and Approximate Policies in Multiperiod, Multilocation Inventory Models with Transshipments , 1990, Oper. Res..

[25]  Peter Salamon,et al.  Ensemble approach to simulated annealing , 1991 .

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

[27]  Peter Köchel,et al.  With Parallel Evolution towards the Optimal Order Policy of a Multi-Location Inventory with Lateral Transshipments , 2006 .

[28]  Peter Köchel,et al.  Simulation-based optimisation of multi-echelon inventory systems , 2005 .

[29]  MICHAEL C. FU,et al.  Techniques for optimization via simulation: an experimental study on an (s,S) inventory system , 1997 .

[30]  Peter Köchel Simulation Optimisation: Approaches, Examples, and Experiences , 2009 .

[31]  Abdelhakim Artiba,et al.  Integration of simulation and optimization for solving complex decision making problems , 2003 .