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Equivalent knapsack‐type formulations of bounded integer linear programs: An alternative approach

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  • Manfred W. Padberg

Abstract

In this paper we show that every bounded integer linear program can be transformed into an integer program involving one single linear constraint and upper and lower bounds on the variables, such that the solution space of the original problem coincides with that one of the equivalent knapsack‐type problem.

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  • Manfred W. Padberg, 1972. "Equivalent knapsack‐type formulations of bounded integer linear programs: An alternative approach," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(4), pages 699-708, December.
    • Handle: RePEc:wly:navlog:v:19:y:1972:i:4:p:699-708
    DOI: 10.1002/nav.3800190410
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