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Dynamic-programming-based inequalities for the capacitated lot-sizing problem

Joseph Hartman, İ. Büyüktahtakin and J. Smith

IISE Transactions, 2010, vol. 42, issue 12, 915-930

Abstract: Iterative solutions of forward dynamic programming formulations for the capacitated lot sizing problem are used to generate inequalities for an equivalent integer programming formulation. The inequalities capture convex and concave envelopes of intermediate-stage value functions and can be lifted by examining potential state information at future stages. Several possible implementations that employ these inequalities are tested and it is demonstrated that the proposed approach is more efficient than alternative integer programming–based algorithms. For certain datasets, the proposed algorithm also outperforms a pure dynamic programming algorithm for the problem.

Date: 2010
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DOI: 10.1080/0740817X.2010.504683

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