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Single-machine online scheduling of jobs with non-delayed processing constraint

Author

Listed:
  • Wenjie Li

    (Luoyang Normal University)

  • Jinjiang Yuan

    (Zhengzhou University)

Abstract

This paper introduces a new environment of online scheduling in which jobs are scheduled under the non-delayed processing (NDP) constraint, where NDP means that the available jobs cannot be delayed for processing when some machine is idle. We study in this paper the single-machine online scheduling to minimize the maximum weighted completion time ( $${\textit{WC}}_{\mathrm{max}}$$ WC max ) or the maximum delivery completion time ( $$L_{\mathrm{max}}$$ L max ) under the NDP constraint. For the first problem, we establish a lower bound 2 and provide an online algorithm which has a competitive ratio of $$(3+\sqrt{5})/2\approx 2.618$$ ( 3 + 5 ) / 2 ≈ 2.618 . We present a 3/2-competitive best possible online algorithm for the second problem.

Suggested Citation

  • Wenjie Li & Jinjiang Yuan, 2021. "Single-machine online scheduling of jobs with non-delayed processing constraint," Journal of Combinatorial Optimization, Springer, vol. 41(4), pages 830-843, May.
    • Handle: RePEc:spr:jcomop:v:41:y:2021:i:4:d:10.1007_s10878-021-00722-4
    DOI: 10.1007/s10878-021-00722-4
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    References listed on IDEAS

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