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A New Project Scheduling Problem with Worker-Dependent Durations

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  • Byung-Cheon Choi

    (School of Business, Chungnam National University, 99 Daehak-ro, Yuseong-gu, Daejeon 34134, South Korea)

  • Jibok Chung

    (Department of Retail Management, Kongju National University, 54 Daehak-ro, Yesan-eup, Yesan-gun, Chungcheongnam-do 32439, South Korea)

Abstract

In this paper, we introduce a new project scheduling problem with multiple milestones and completely ordered activities. The characteristic of our problem lies in the activity durations, which are determined by the unique attributes of each activity and the worker assigned to it. The objective is to identify the optimal assignment of workers to activities that minimizes the weighted number of tardy activities. We show that the problem is strongly NP-hard by reducing it from the 3-partition problem even for two cases with a special structure of durations. Furthermore, we identify two cases that can be solved in polynomial time.

Suggested Citation

  • Byung-Cheon Choi & Jibok Chung, 2025. "A New Project Scheduling Problem with Worker-Dependent Durations," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 42(05), pages 1-12, October.
    • Handle: RePEc:wsi:apjorx:v:42:y:2025:i:05:n:s0217595925500022
    DOI: 10.1142/S0217595925500022
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