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:: Volume 6, Number 4 (11-2016) ::
2016, 6(4): 13-26 Back to browse issues page
A New Method For Solving Linear Bilevel Multi-Objective Multi-Follower Programming Problem
M. Habibpoor
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz
Abstract:   (363 Views)

Linear bilevel programming is a decision making problem with a two-level decentralized organization. The leader is in the upper level and the follower, in the lower level. This study addresses linear bilevel multi-objective multi-follower programming (LB-MOMFP) problem, a special case of linear bilevel programming problems with one leader and multiple followers where each decision maker has several objective functions conflicting with each other. We propose a simple and efficient method for solving these problems. In our method, objectives of multi-objective programming problem of the each level decision maker are transformed into fuzzy goals (membership functions) by assigning an aspiration level to each of them, and a max-min decision model is generated for each level problem. Then, we transform obtained linear bilevel multi-follower problem into equivalent single-level problem by extended Karush-Kuhn-Tucker approach. Finally, numerical examples are given to demonstrate the feasibility and efficiency of the proposed method. This paper aims to present a simple technique to obtain better compromise solution of LB-MOMFP problem than earlier techniques. A comparative analysis based on numerical examples is carried out to show preference of the proposed method

Keywords: LINEAR BILEVEL PROGRAMMING, MULTI-OBJECTIVE PROGRAMMING, MULTI-FOLLOWER PROGRAMMING, FUZZY GOAL PROGRAMMING, KARUSH-KUHN-TUKER APPROACH
Full-Text [PDF 921 kb]   (53 Downloads)    
Type of Study: Research | Subject: Special
Received: 2016/09/24 | Accepted: 2017/06/19 | Published: 2017/06/19
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Habibpoor M. A New Method For Solving Linear Bilevel Multi-Objective Multi-Follower Programming Problem. International Journal of Applied Operational Research. 2016; 6 (4) :13-26
URL: http://ijorlu.liau.ac.ir/article-1-504-en.html
Volume 6, Number 4 (11-2016) Back to browse issues page
ژورنال بین المللی پژوهش عملیاتی International Journal of Applied Operational Research - An Open Access Journal
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