Title
Applying fuzzy mathematical programming approach to optimize a multiple supply network in uncertain condition with comparative analysis
Abstract
Supply chain design problems have recently raised a lot of interest since the opportunity of an integrated management of the supply chain can reduce the propagation of undesirable events through the network and can affect decisively the profitability of the members. Often uncertainties may be associated with demand and relevant costs. In most of the existing models uncertainties are treated as randomness and are handled by appealing to probability theory. Here, we propose a fuzzy mathematical programming model for a supply chain which considers multiple depots, multiple vehicles, multiple products, multiple customers, and different time periods. In this work not only demand and cost but also decision variables are considered to be fuzzy. We apply two ranking functions for solving the model. The aim of the fuzzy mathematical program is to select the appropriate depots among candidate depots, the allocation of orders to depots and vehicles, also the allocation of the returning vehicles to depots, to minimize the total costs. To validate the model some numerical experiments are worked out and a comparative analysis is investigated. Also, a regression model is considered to analyze the applied fuzzy ranking methods.
Year
DOI
Venue
2013
10.1016/j.asoc.2012.08.016
Appl. Soft Comput.
Keywords
Field
DocType
multiple customer,uncertain condition,multiple depot,multiple product,multiple vehicle,fuzzy ranking method,regression model,comparative analysis,fuzzy mathematical program,supply chain,multiple supply network,supply chain design problem,fuzzy mathematical programming model,fuzzy mathematical programming approach
Relevant cost,Supply network,Mathematical optimization,Ranking,Fuzzy logic,Operations research,Supply chain network,Profitability index,Supply chain,Total cost,Mathematics
Journal
Volume
Issue
ISSN
13
1
1568-4946
Citations 
PageRank 
References 
7
0.46
11
Authors
3
Name
Order
Citations
PageRank
Hamed Fazlollahtabar18514.92
Iraj Mahdavi238832.30
Amir Mohajeri370.46