A Class of Robust Solution for Linear Bilevel Programming

Bo Liu (liubo.ce@163.com), Bo Li and Yan Li
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Bo Liu: Tianjin University
Bo Li: Tianjin University
Yan Li: Tianjin University

Chapter Chapter 2 in The 19th International Conference on Industrial Engineering and Engineering Management, 2013, pp 11-21 from Springer

Abstract: Abstract Under the way of the centralized decision-making, the linear bi-level programming (BLP) whose coefficients are supposed to be unknown but bounded in box disturbance set is studied. Accordingly, a class of robust solution for linear BLP is defined, and the original uncertain BLP was converted to the deterministic triple level programming, then a solving process is proposed for the robust solution. Finally, a numerical example is shown to demonstrate the effectiveness and feasibility of the algorithm.

Keywords: Box disturbance; Linear bilevel programming; Robust optimization; Robust solution (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-38391-5_2

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DOI: 10.1007/978-3-642-38391-5_2

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