A dynamic programming algorithm for the bilevel knapsack problem

A dynamic programming algorithm for the bilevel knapsack problem

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Article ID: iaor20102951
Volume: 37
Issue: 3
Start Page Number: 215
End Page Number: 218
Publication Date: May 2009
Journal: Operations Research Letters
Authors: , ,
Keywords: knapsack problem, programming (bilevel)
Abstract:

We propose an efficient dynamic programming algorithm for solving a bilevel program where the leader controls the capacity of a knapsack, and the follower solves the resulting knapsack problem. We propose new recursive rules and show how to solve the problem as a sequence of two standard knapsack problems.

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