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:: دوره 6، شماره 4 - ( 8-1395 ) ::
جلد 6 شماره 4 صفحات 26-13 برگشت به فهرست نسخه ها
A New Method For Solving Linear Bilevel Multi-Objective Multi-Follower Programming Problem
چکیده:   (6628 مشاهده)

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

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نوع مطالعه: پژوهشي | موضوع مقاله: تخصصي
دریافت: 1394/11/28 | پذیرش: 1395/5/1 | انتشار: 1395/5/29
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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-fa.html

A New Method For Solving Linear Bilevel Multi-Objective Multi-Follower Programming Problem. ژورنال بین المللی پژوهش عملیاتی. 1395; 6 (4) :13-26

URL: http://ijorlu.liau.ac.ir/article-1-504-fa.html



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دوره 6، شماره 4 - ( 8-1395 ) برگشت به فهرست نسخه ها
ژورنال بین المللی پژوهش عملیاتی International Journal of Applied Operational Research - An Open Access Journal
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