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Improved algorithms for single machine scheduling with release dates and rejections

Author

Listed:
  • Cheng He

    (Henan University of Technology)

  • Joseph Y.-T. Leung

    (New Jersey Institute of Technology)

  • Kangbok Lee

    (The City University of New York)

  • Michael L. Pinedo

    (New York University)

Abstract

We consider bi-criteria scheduling problems on a single machine with release dates and rejections and both the makespan and the total rejection cost have to be minimized. We consider three scenarios: (1) minimize the sum of the two objectives: makespan and total rejection cost, (2) minimize the makespan subject to a bound on the total rejection cost and (3) minimize the total rejection cost subject to a bound on the makespan. We summarize the results obtained in the literature and provide for several cases improved approximation algorithms and FPTASs.

Suggested Citation

  • Cheng He & Joseph Y.-T. Leung & Kangbok Lee & Michael L. Pinedo, 2016. "Improved algorithms for single machine scheduling with release dates and rejections," 4OR, Springer, vol. 14(1), pages 41-55, March.
    • Handle: RePEc:spr:aqjoor:v:14:y:2016:i:1:d:10.1007_s10288-016-0303-5
    DOI: 10.1007/s10288-016-0303-5
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    References listed on IDEAS

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    1. Slotnick, Susan A., 2011. "Order acceptance and scheduling: A taxonomy and review," European Journal of Operational Research, Elsevier, vol. 212(1), pages 1-11, July.
    2. Lu, Lingfa & Ng, C.T. & Zhang, Liqi, 2011. "Optimal algorithms for single-machine scheduling with rejection to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 130(2), pages 153-158, April.
    3. Zhang, Liqi & Lu, Lingfa & Yuan, Jinjiang, 2009. "Single machine scheduling with release dates and rejection," European Journal of Operational Research, Elsevier, vol. 198(3), pages 975-978, November.
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    Citations

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    Cited by:

    1. Peihai Liu & Xiwen Lu, 2020. "New approximation algorithms for machine scheduling with rejection on single and parallel machine," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 929-952, November.
    2. Baruch Mor & Gur Mosheiov, 2021. "A note: flowshop scheduling with linear deterioration and job-rejection," 4OR, Springer, vol. 19(1), pages 103-111, March.
    3. Imed Kacem & Hans Kellerer, 2024. "Minimizing the maximum lateness for scheduling with release times and job rejection," Journal of Combinatorial Optimization, Springer, vol. 48(3), pages 1-22, October.
    4. Weidong Li & Qianna Cui, 2018. "Vector scheduling with rejection on a single machine," 4OR, Springer, vol. 16(1), pages 95-104, March.
    5. Gur Mosheiov & Assaf Sarig & Vitaly Strusevich, 2020. "Minmax scheduling and due-window assignment with position-dependent processing times and job rejection," 4OR, Springer, vol. 18(4), pages 439-456, December.
    6. Xiaofei Liu & Weidong Li & Yaoyu Zhu, 2021. "Single Machine Vector Scheduling with General Penalties," Mathematics, MDPI, vol. 9(16), pages 1-16, August.
    7. Xueling Zhong & Jinwen Ou, 2017. "Improved approximation algorithms for parallel machine scheduling with release dates and job rejection," 4OR, Springer, vol. 15(4), pages 387-406, December.
    8. Guojun Hu & Pengxiang Pan & Suding Liu & Ping Yang & Runtao Xie, 2024. "The prize-collecting single machine scheduling with bounds and penalties," Journal of Combinatorial Optimization, Springer, vol. 48(2), pages 1-13, September.
    9. Ren-Xia Chen & Shi-Sheng Li, 2020. "Minimizing maximum delivery completion time for order scheduling with rejection," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1044-1064, November.
    10. Xiaofei Liu & Man Xiao & Weidong Li & Yaoyu Zhu & Lei Ma, 2023. "Algorithms for single machine scheduling problem with release dates and submodular penalties," Journal of Combinatorial Optimization, Springer, vol. 45(4), pages 1-18, May.
    11. Jinwen Ou, 2020. "Near-linear-time approximation algorithms for scheduling a batch-processing machine with setups and job rejection," Journal of Scheduling, Springer, vol. 23(5), pages 525-538, October.
    12. Xiaofei Liu & Weidong Li, 2020. "Approximation Algorithm for the Single Machine Scheduling Problem with Release Dates and Submodular Rejection Penalty," Mathematics, MDPI, vol. 8(1), pages 1-11, January.
    13. Xueling Zhong & Zhangming Pan & Dakui Jiang, 2017. "Scheduling with release times and rejection on two parallel machines," Journal of Combinatorial Optimization, Springer, vol. 33(3), pages 934-944, April.
    14. Bruno de Athayde Prata & Levi Ribeiro Abreu & José Ytalo Ferreira Lima, 2021. "Heuristic methods for the single-machine scheduling problem with periodical resource constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 524-546, July.

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