4.2 Article

A polynomial algorithm for a continuous bilevel knapsack problem

Journal

OPERATIONS RESEARCH LETTERS
Volume 46, Issue 2, Pages 185-188

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.orl.2017.12.009

Keywords

Bilevel programming; Continuous knapsack problem; Polynomial time

Funding

  1. ERDF European Regional Development Fund through the Operational Programme for Competitiveness and Internationalization-COMPETE Programme [POCI-01-0145-FEDER-006961]
  2. FCT (Portuguese Foundation for Science and Technology) [UID/EEA/50014/2013, PTDC/IIMGES/2830/ 2014]
  3. NSERC [A5789]

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In this note, we analyze a bilevel interdiction problem, where the follower's program is a parametrized continuous knapsack. Based on the structure of the problem and an inverse optimization strategy, we propose for its solution an algorithm with worst-case complexity O(n(2)). (C) 2018 Elsevier B.V. All rights reserved.

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