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New exact and approximation algorithms for integrated production and transportation scheduling with committed delivery due dates and order acceptance

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  • Li, Feng
  • Xu, Shifu
  • Xu, Zhou

Abstract

The problem of integrated production and transportation scheduling, commonly faced by make-to-order manufacturers under a commit-to-delivery business mode, is known to be strongly NP-hard. In this study, we propose two new exact algorithms to solve the problem with order acceptance decisions also taken into account. These algorithms can achieve polynomial or pseudo-polynomial running times in several practical situations. We also develop the first pseudo-polynomial time approximation scheme for this problem. It not only guarantees a worst-case performance ratio of (1+ϵ) for any fixed ϵ>0, but also achieves good computational performance.

Suggested Citation

  • Li, Feng & Xu, Shifu & Xu, Zhou, 2023. "New exact and approximation algorithms for integrated production and transportation scheduling with committed delivery due dates and order acceptance," European Journal of Operational Research, Elsevier, vol. 306(1), pages 127-140.
  • Handle: RePEc:eee:ejores:v:306:y:2023:i:1:p:127-140
    DOI: 10.1016/j.ejor.2022.07.030
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    References listed on IDEAS

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