International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 725 - 736

Pessimistic Bilevel Optimization: A Survey

Authors
June Liu1, xun4025@126.com, Yuxin Fan2, fann.song@yahoo.com, Zhong Chen3, *, chenzhtong@yangtzeu.edu.cn, Yue Zheng1, †, zhengyuestone@126.com
1School of Management, Huaibei Normal University, Huaibei 235000, Anhui, P.R. China
2Huazhong University of Science and Technology, Wuhan 430074, P.R. China
3School of Information and Mathematics, Yangtze University, Jingzhou 434023, Hubei, P.R. China
*Corresponding author.
†Corresponding author.
Corresponding Authors
Received 5 January 2018, Accepted 22 February 2018, Available Online 9 March 2018.
DOI
10.2991/ijcis.11.1.56How to use a DOI?
Keywords
Bilevel optimization; Pessimistic formulation; Stackelberg games
Abstract

Bilevel optimization are often addressed in an organizational hierarchy in which the upper level decision maker is the leader and the lower level decision maker is the follower. The leader frequently cannot obtain complete information from the follower. As a result, the leader most tends to be risk-averse, and then would like to create a safety margin to bound the damage resulting from the undesirable selection of the follower. Pessimistic bilevel optimization represents an attractive tool to model risk-averse hierarchy problems, and would provide strong ability of analysis for the risk-averse leader. Since to the best of our knowledge, there is not a comprehensive review on pessimistic bilevel optimization, the goal of this paper is to provide a extensive review on pessimistic bilevel optimization from basic definitions and properties to solution approaches. Some real applications are also proposed. This survey will directly support researchers in understanding theoretical research results, designing solution algorithms and applications in relation to pessimistic bilevel optimization.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
725 - 736
Publication Date
2018/03/09
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.56How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - June Liu
AU  - Yuxin Fan
AU  - Zhong Chen
AU  - Yue Zheng
PY  - 2018
DA  - 2018/03/09
TI  - Pessimistic Bilevel Optimization: A Survey
JO  - International Journal of Computational Intelligence Systems
SP  - 725
EP  - 736
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.56
DO  - 10.2991/ijcis.11.1.56
ID  - Liu2018
ER  -