Optimization of distribution of centers in the supply chain using genetic algorithms

In this paper evolutionary methods, specifically genetic algorithms (GAs), are used to demonstrate the application in the determination of the location of a distribution center (DC) in the supply chain. One case is tested, which is a problem with GOUTTE's constrains beginning with its solution by the traditional method implemented in Lingo. We pretend to show the efficacy of applying GAs in the determination of the nearest solution to the optimum as the advantage of this method. The results are compared with optimization deterministic models implemented in traditional software by presenting another alternative of solution with an approximation to the optimum value and lower computational cost.

[1]  Michel Balinski,et al.  Integer Programming: Methods, Uses, Computations , 1965 .

[2]  Jeffrey A. Joines,et al.  Supply chain multi-objective simulation optimization , 2002, Proceedings of the Winter Simulation Conference.

[3]  John H. Holland,et al.  Outline for a Logical Theory of Adaptive Systems , 1962, JACM.

[4]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[5]  Charles ReVelle,et al.  Urban Public Facility Location , 1987 .

[6]  O. Kariv,et al.  An Algorithmic Approach to Network Location Problems. II: The p-Medians , 1979 .

[7]  Deepak Gupta,et al.  Maufacturing supply chain applications 1: supply chain multi-objective simulation optimization , 2002, WSC '02.

[8]  Roberto Musmanno,et al.  Introduction to Logistics Systems Planning and Control , 2004 .

[9]  K. E. Rosing,et al.  The p-Median and its Linear Programming Relaxation: An Approach to Large Problems , 1979 .

[10]  F. Azadivar,et al.  Simulation based optimization for supply chain configuration design , 2003, Proceedings of the 2003 Winter Simulation Conference, 2003..

[11]  S. Hakimi Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems , 1965 .

[12]  T. L. Ray,et al.  A Branch-Bound Algorithm for Plant Location , 1966, Oper. Res..

[13]  Farhad Azadivar,et al.  Simulation based optimization for supply chain configuration design , 2003, Proceedings of the 2003 Winter Simulation Conference, 2003..

[14]  S. L. Hakimi,et al.  Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph , 1964 .

[15]  Charles ReVelle,et al.  Central Facilities Location , 2010 .

[16]  Roberto Musmanno,et al.  Introduction to Logistics Systems Planning and Control (Wiley Interscience Series in Systems and Optimization) , 2004 .

[17]  Mark S. Daskin,et al.  Network and Discrete Location: Models, Algorithms and Applications , 1995 .