Article ID: | iaor20102951 |
Volume: | 37 |
Issue: | 3 |
Start Page Number: | 215 |
End Page Number: | 218 |
Publication Date: | May 2009 |
Journal: | Operations Research Letters |
Authors: | Hanafi Sad, Brotcorne Luce, Mansi Rad |
Keywords: | knapsack problem, programming (bilevel) |
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.