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Complexity analysis and approximation algorithms for the single-machine scheduling problem with workload-dependent maintenance activities

Author

Listed:
  • Peihai Liu

    (East China University of Science and Technology)

  • Manzhan Gu

    (Shanghai University of Finance and Economics)

  • Xiwen Lu

    (East China University of Science and Technology)

Abstract

This paper considers the single-machine scheduling problem with workload-dependent maintenance activities of variable length. The time needed to perform a maintenance activity is a function of the total processing time of the jobs that are processed between the starting time of this activity and the end of the last previous activity. In the case where the function is concave, we study the computational complexity of the three problems with the goal of minimizing the makespan, the total completion time, and the total weighted completion time, respectively. In addition, we propose a 2-approximation algorithm for the first problem and a 2.5-approximation algorithm for the second problem.

Suggested Citation

  • Peihai Liu & Manzhan Gu & Xiwen Lu, 2025. "Complexity analysis and approximation algorithms for the single-machine scheduling problem with workload-dependent maintenance activities," Journal of Scheduling, Springer, vol. 28(4), pages 391-406, August.
    • Handle: RePEc:spr:jsched:v:28:y:2025:i:4:d:10.1007_s10951-025-00842-3
    DOI: 10.1007/s10951-025-00842-3
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    References listed on IDEAS

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