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A continuous time–cost tradeoff problem with multiple milestones and completely ordered jobs

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  • Choi, Byung-Cheon
  • Park, Myoung-Ju

Abstract

We consider a continuous time–cost tradeoff problem with multiple milestones and completely ordered jobs. If a milestone is tardy, a penalty cost may be imposed. The processing times of jobs can be compressed by additional resources or activities that incur compression costs. The objective is to minimize the total penalty cost plus the total compression cost. We show that the problem is NP-hard, even if the compression cost is described as a concave function, and we present a pseudo-polynomial time algorithm for that case. Furthermore, we show that the problem is polynomially solvable if the compression cost function is convex.

Suggested Citation

  • Choi, Byung-Cheon & Park, Myoung-Ju, 2015. "A continuous time–cost tradeoff problem with multiple milestones and completely ordered jobs," European Journal of Operational Research, Elsevier, vol. 244(3), pages 748-752.
    • Handle: RePEc:eee:ejores:v:244:y:2015:i:3:p:748-752
    DOI: 10.1016/j.ejor.2015.02.022
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    References listed on IDEAS

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    Cited by:

    1. Byung-Cheon Choi & Changmuk Kang, 2019. "A linear time–cost tradeoff problem with multiple milestones under a comb graph," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 341-361, August.
    2. Geng, Zhichao & Yuan, Jinjiang, 2023. "Single-machine scheduling of multiple projects with controllable processing times," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1074-1090.
    3. Seyed Hossein Razavi Hajiagha & Hannan Amoozad Mahdiraji & Maryam Behnam & Boshra Nekoughadirli & Rohit Joshi, 2022. "A scenario-based robust time–cost tradeoff model to handle the effect of COVID-19 on supply chains project management," Operations Management Research, Springer, vol. 15(1), pages 357-377, June.
    4. Abdollah Arasteh, 2020. "Considering Project Management Activities for Engineering Design Groups," SN Operations Research Forum, Springer, vol. 1(4), pages 1-29, December.
    5. Byung-Cheon Choi & Myoung-Ju Park, 2020. "Scheduling two projects with controllable processing times in a single-machine environment," Journal of Scheduling, Springer, vol. 23(5), pages 619-628, October.

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