Fuzzy Optimization and Decision Making

, Volume 10, Issue 3, pp 255–285

A multi-objective chance-constrained network optimal model with random fuzzy coefficients and its application to logistics distribution center location problem


DOI: 10.1007/s10700-011-9105-6

Cite this article as:
Xu, J., Yao, L. & Zhao, X. Fuzzy Optim Decis Making (2011) 10: 255. doi:10.1007/s10700-011-9105-6


The problem of the distribution center is concerned with how to select distribution centers from a potential set in order to minimize the total relevant cost comprising of fixed costs of the distribution center and transport costs, and minimize the transportation time. In this paper, we propose a multi-objective network optimal model with random fuzzy coefficients for the logistics distribution center location problem. Furthermore, we convert the uncertain model into a deterministic one by the probability and possibility measure. Then the spanning tree-based genetic algorithm (st-GA) by the Prüfer number representation is introduced to solve the crisp multiobjective programming. At last, the proposed model and algorithm are applied to the Xinxi Dairy Holdings Limited Company to show the efficiency.


Distribution center location problem Random fuzzy variable Multiobjective chance-constrained model Genetic algorithm 

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Uncertainty Decision-Making LaboratorySichuan UniversityChengduPeople’s Republic of China

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