AWT IMAGE home AWT IMAGE submit paper AWT IMAGE guide for authors AWT IMAGE contact us AWT IMAGE register AWT IMAGE search AWT IMAGE archive AWT IMAGE current issue AWT IMAGE journal info
   [Home ] [Archive]    
:: 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

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
Send email to the article author

Add your comments about this article
Your username or email:

Write the security code in the box >

XML     Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

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
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
Persian site map - English site map - Created in 0.051 seconds with 790 queries by yektaweb 3461