An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making

Bilevel decision techniques have been mainly developed for solving decentralized management problems with decision makers in a hierarchical organization. When multiple followers are involved in a bilevel decision problem, called a bilevel multi-follower (BLMF) decision problem, the leader’s decisi...

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Main Authors: Guangquan Zhang, Chenggen Shi, Jie Lu
Format: Article
Language:English
Published: Springer 2008-08-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://www.atlantis-press.com/article/1590.pdf
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author Guangquan Zhang
Chenggen Shi
Jie Lu
author_facet Guangquan Zhang
Chenggen Shi
Jie Lu
author_sort Guangquan Zhang
collection DOAJ
description Bilevel decision techniques have been mainly developed for solving decentralized management problems with decision makers in a hierarchical organization. When multiple followers are involved in a bilevel decision problem, called a bilevel multi-follower (BLMF) decision problem, the leader’s decision will be affected, not only by the reactions of these followers, but also by the relationships among these followers. The referential-uncooperative situation is one of the popular cases of BLMF decision problems where these multiple followers don’t share decision variables with each other but may take others’ decisions as references to their decisions. This paper presents a model for the referential-uncooperative BLMF decision problem. As the kth-best approach is one of the most successful approaches in dealing with normal bilevel decision problems, this paper then proposes an extended kth-best approach to solve the referential-uncooperative BLMF problem. Finally an example of logistics planning illustrates the application of the proposed extended kth-best approach.
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spelling doaj.art-aefaafd63b7f49f2a0e2ec9a0cad5bf52022-12-21T22:51:06ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832008-08-011310.2991/ijcis.2008.1.3.2An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision MakingGuangquan ZhangChenggen ShiJie LuBilevel decision techniques have been mainly developed for solving decentralized management problems with decision makers in a hierarchical organization. When multiple followers are involved in a bilevel decision problem, called a bilevel multi-follower (BLMF) decision problem, the leader’s decision will be affected, not only by the reactions of these followers, but also by the relationships among these followers. The referential-uncooperative situation is one of the popular cases of BLMF decision problems where these multiple followers don’t share decision variables with each other but may take others’ decisions as references to their decisions. This paper presents a model for the referential-uncooperative BLMF decision problem. As the kth-best approach is one of the most successful approaches in dealing with normal bilevel decision problems, this paper then proposes an extended kth-best approach to solve the referential-uncooperative BLMF problem. Finally an example of logistics planning illustrates the application of the proposed extended kth-best approach.https://www.atlantis-press.com/article/1590.pdfBilevel programmingkth-best approachDecision makingOptimization.
spellingShingle Guangquan Zhang
Chenggen Shi
Jie Lu
An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making
International Journal of Computational Intelligence Systems
Bilevel programming
kth-best approach
Decision making
Optimization.
title An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making
title_full An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making
title_fullStr An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making
title_full_unstemmed An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making
title_short An Extended KTH-Best Apprach for Referential-Uncooperative Bilevel Multi-Follower Decision Making
title_sort extended kth best apprach for referential uncooperative bilevel multi follower decision making
topic Bilevel programming
kth-best approach
Decision making
Optimization.
url https://www.atlantis-press.com/article/1590.pdf
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