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Single-machine primary–secondary scheduling with total tardiness being the primary criterion

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  • Qiulan Zhao

    (Nanjing University)

  • Jinjiang Yuan

    (Zhengzhou University)

Abstract

We study the single-machine primary–secondary scheduling problems in which the total tardiness is the primary criterion and the secondary criteria are the maximum lateness, the (weighted) number of tardy jobs, and the total weighted tardiness, respectively. These problems are known to be NP-hard, but their exact complexities (strongly NP-hard or pseudo-polynomially solvable) were posed by (in: Pardalos (ed) Complexity in numerical optimization, World Scientific, 1993) as open problems. In this paper, we show that these problems are solvable in pseudo-polynomial time.

Suggested Citation

  • Qiulan Zhao & Jinjiang Yuan, 2024. "Single-machine primary–secondary scheduling with total tardiness being the primary criterion," Journal of Scheduling, Springer, vol. 27(3), pages 309-318, June.
    • Handle: RePEc:spr:jsched:v:27:y:2024:i:3:d:10.1007_s10951-023-00793-7
    DOI: 10.1007/s10951-023-00793-7
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    References listed on IDEAS

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