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A fast FPTAS for single machine scheduling problem of minimizing total weighted earliness and tardiness about a large common due date

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  • Kellerer, Hans
  • Rustogi, Kabir
  • Strusevich, Vitaly A.

Abstract

We address the single machine scheduling problem to minimize the total weighted earliness and tardiness about a nonrestrictive common due date. This is a basic problem with applications to the just-in-time manufacturing. The problem is linked to a Boolean programming problem with a quadratic objective function, known as the half-product. An approach to developing a fast fully polynomial-time approximation scheme (FPTAS) for the problem is identified and implemented. The running time matches the best known running time for an FPTAS for minimizing a half-product with no additive constant.

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  • Kellerer, Hans & Rustogi, Kabir & Strusevich, Vitaly A., 2020. "A fast FPTAS for single machine scheduling problem of minimizing total weighted earliness and tardiness about a large common due date," Omega, Elsevier, vol. 90(C).
    • Handle: RePEc:eee:jomega:v:90:y:2020:i:c:s0305048318306443
    DOI: 10.1016/j.omega.2018.11.001
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    References listed on IDEAS

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    1. Mikhail Y. Kovalyov & Wieslaw Kubiak, 1999. "A Fully Polynomial Approximation Scheme for the Weighted Earliness–Tardiness Problem," Operations Research, INFORMS, vol. 47(5), pages 757-761, October.
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    Cited by:

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    6. Zhang, Hongbin & Yang, Yu & Wu, Feng, 2024. "Scheduling a set of jobs with convex piecewise linear cost functions on a single-batch-processing machine," Omega, Elsevier, vol. 122(C).

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