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Model, solution concept, and Kth-best algorithm for linear trilevel programming

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Zhang, Guangquan and Lu, Jie and Montero, Javier and Zeng, Yi (2010) Model, solution concept, and Kth-best algorithm for linear trilevel programming. Information Sciences, 180 (4). pp. 481-492. ISSN 0020-0255

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Official URL: http://www.sciencedirect.com/science/article/pii/S0020025509004496


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Abstract

Trilevel programming refers to hierarchical optimization problems in which the top-level,
middle-level, and bottom-level decision entities all attempt to optimize their individual
objectives, but are impacted by the actions and partial control exercised by decision entities located at other levels. To solve this complex problem, in this study first we propose the use of a general linear trilevel programming (LTLP) subsequently, we develop a trilevel Kth-best algorithm to solve LTLP problems. A user-friendly trilevel decision support tool is also developed. A case study further illustrates the effectiveness of the proposed method.


Item Type:Article
Uncontrolled Keywords:Trilevel programming; Bilevel programming; Hierarchical decision-making; Kth-best algorithm; Optimization; Decision support systems
Subjects:Sciences > Computer science > Artificial intelligence
ID Code:16010
Deposited On:19 Jul 2012 11:06
Last Modified:17 Sep 2018 14:28

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