# tailieunhanh - A fuzzy bi-linear management model in reverse logistic chains

## The management of the electrical and electronic waste (WEEE) problem in the uncertain environment has a critical effect on the economy and environmental protection of each region. The considered problem can be stated as a fuzzy non-convex optimization problem with linear objective function and a set of linear and non-linear constraints. The original problem is reformulated by using linear relaxation into a fuzzy linear programming problem. | Yugoslav Journal of Operations Research 26 (2016), Number 1, 61-74 DOI: A FUZZY BI-LINEAR MANAGEMENT MODEL IN REVERSE LOGISTIC CHAINS Danijela TADIĆ Faculty of Engineering University of Kragujevac galovic@ Predrag MIMOVIĆ Faculty of Economics University of Kragujevac mmimovic@ Jovana KOSTIĆ Faculty of Engineering University of Kragujevac jovi1119@ Marija ZAHAR ĐORĐEVIĆ Faculty of Engineering University of Kragujevac maja_199@ Received: October 2013 / Accepted: November 2014 Abstract: The management of the electrical and electronic waste (WEEE) problem in the uncertain environment has a critical effect on the economy and environmental protection of each region. The considered problem can be stated as a fuzzy non-convex optimization problem with linear objective function and a set of linear and non-linear constraints. The original problem is reformulated by using linear relaxation into a fuzzy linear programming problem. The fuzzy rating of collecting point capacities and fix costs of recycling centers are modeled by triangular fuzzy numbers. The optimal solution of the reformulation model is found by using optimality concept. The proposed model is verified through an illustrative example with real-life data. The obtained results represent an input for future research which should include a good benchmark base for tested reverse logistic chains and their continuous improvement. 62 , , , / A Fuzzy Bi-Linear Management Keywords: Reverse logistic chain, Electrical and electronic waste, Linear relaxation, Fuzzy linear programming. MSC: 90C70. 1. INDTRODUCTION Nowadays, design and management of reverse logistics chains (RLCs) are one of the most important research topics in the logistics area. Results of good practice show that the companies that use products made in processes of reverse logistics have a lot of benefits, for instance: reduced use of raw materials,

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