Study of Facility Location and Allocation Problem Based on Fuzzy Graph Theory

Abstract

The location and allocation of regional distribution center is the key problem of logistics distribution network, it concerns that whether the distribution system can perform efficiently. The paper sets up a mathematic location model of generalized transportation costs on basis of economic scale, and then solves Location and Allocation Problem of regional distribution center by means of Fuzzy graph theory. Finally, compares the solution of Fuzzy graph theory with the one of dynamic cluster analysis through an example, it shows that the use of Fuzzy graph theory in solving this problem can decrease the calculating scale and time evidently, especially when the Fuzzy equivalent matrix can not be ascertained, this algorithm is feasible and effective.