Fuzzy Mathematical Modeling of Distribution Network Through Location Allocation Model in a Three-level Supply Chain Design

Volume 9, Issue 3, pp 165 - 174 http://dx.doi.org/10.22436/jmcs.09.03.02

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Authors

Mohsen Momeni Tabar - Karaj Islamic Azad University, Faculty of Engineering, Department of Industrial Engineering, Karaj, Iran. Navid Akar - Young Researchers Club, Karaj Branch, Islamic Azad University, Karaj, Iran. Danial Zaghi - Karaj Islamic Azad University, Faculty of Engineering, Department of Industrial Engineering, Karaj, Iran. Hamid Reza Feili - Alzahra University, Faculty of Engineering, Department of Industrial Engineering, Tehran, Iran. Mitra Ghaderi - Department of Agriculture Engineering, Payam nor university, Garmsar, Iran.

Abstract

Economic roles in all areas particularly in the steel industry have been grown dramatically. In this article, a new look to the field of mathematical modeling of distributed systems in terms of fuzzy location model and the theory of fuzzy has been allocated and an integer linear programming is used. The distribution system generally includes three levels so that the first level suppliers of iron ore, mining, steel and so on are placed. The second level involves locating distribution centers consider so that a limited number of distribution centers can serve as stations and the third level of local warehouses or factories in steel production are using the integer programming technique, a fuzzy mathematical model for distributed systems is presented. The second level of distribution center location selection techniques based on Fuzzy Analytical Hierarchy Process (FAHP) is proposed and its output as input in integer programming model is used. It's worth mentioning presented model is analyzed by software of maple 12.

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Keywords

• Mathematical Modeling
• Integer Linear Programming
• Distribution System
• Fuzzy Analytical Hierarchy Process (FAHP).

MSC

•  91B32
•  06D72

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