Hybrid Genetic Algorithm for Production/Distribution System in Supply Chain

This research is concerned with logistic system design considering production/distribution planning in the view of multi-stage structure. The design tasks of this problem involve the choice of the facilities (plants and distribution centers (DCs)) to be opened, and the production/distribution network design to satisfy the demand with minimum cost. Since this problem is known as one of the NP-hard problems, we propose a heuristic algorithm for solving it. The proposed method, called hybrid-spanning, tree-based genetic algorithm (hst-GA), utilizes the Prüfer number, which is known to be an efficient way to represent various network problems. In order to improve the performance of the proposed method, we develop a local search technique, called displacing Prüfer number, and adopt the concept of a fuzzy logic controller (FLC) to dynamically control the GA parameters. We implement the proposed method on several test problems and compare the results with those of other traditional methods and LINDO. These comparisons demonstrate that the proposed method out-performed other traditional methods.

[1]  L. J. Davidson,et al.  I. AN APPROACH TO THE PROBLEM , 1965 .

[2]  Hideyuki Takagi,et al.  Dynamic Control of Genetic Algorithms Using Fuzzy Logic Techniques , 1993, ICGA.

[3]  Charles C. Palmer,et al.  An approach to a problem in network design using genetic algorithms , 1994, Networks.

[4]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[5]  Zbigniew Michalewicz,et al.  Genetic algorithms + data structures = evolution programs (3rd ed.) , 1996 .

[6]  X. Zeng A fuzzy logic based design for adaptive genetic algorithms , 1997 .

[7]  Cb Bernhard Tilanus Introduction to information systems in logistics and transportation , 1997 .

[8]  P. T. Wang,et al.  Speeding up the search process of genetic algorithm by fuzzy logic , 1997 .

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

[10]  M. Gen,et al.  A note on genetic algorithms for degree‐constrained spanning tree problems , 1997 .

[11]  Hasan Pirkul,et al.  A multi-commodity, multi-plant, capacitated facility location problem: formulation and efficient heuristic solution , 1998, Comput. Oper. Res..

[12]  Mitsuo Gen,et al.  Genetic algorithms and engineering optimization , 1999 .

[13]  Américo Azevedo,et al.  Order planning for networked make-to-order enterprises—a case study , 2000, J. Oper. Res. Soc..

[14]  Chi-Chun Lo,et al.  A multiobjective hybrid genetic algorithm for the capacitated multipoint network design problem , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[15]  Mitsuo Gen,et al.  Network design techniques using adapted genetic algorithms , 2001 .

[16]  M. Gen,et al.  Study on multi-stage logistic chain network: a spanning tree-based genetic algorithm approach , 2002 .

[17]  Mitsuo Gen,et al.  Reliability Optimization Design for Complex Systems by Hybrid GA with Fuzzy Logic Control and Local Search , 2002, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[18]  Mitsuo Gen,et al.  Solving exclusionary side constrained transportation problem by using a hybrid spanning tree-based genetic algorithm , 2003, J. Intell. Manuf..