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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Format: | Article |
Language: | English |
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Springer
2008-08-01
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Series: | International Journal of Computational Intelligence Systems |
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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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institution | Directory Open Access Journal |
issn | 1875-6883 |
language | English |
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publishDate | 2008-08-01 |
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series | International Journal of Computational Intelligence Systems |
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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