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Online scheduling on parallel-batch machines with periodic availability constraints and job delivery

Author

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  • Lin, Ran
  • Wang, Jun-Qiang
  • Oulamara, Ammar

Abstract

We address an online scheduling problem on identical parallel-batch machines with periodic availability constraints and job delivery. A parallel-batch machine can process several jobs simultaneously in a batch without any preemption. The processing time of a batch is equal to the maximum processing time of the jobs in this batch, and the job processing times we consider are identical on all machines. Available and unavailable time intervals occur alternately on machines. The unavailable time intervals have the same start and end time on different machines. Jobs are released over time, which means that no information of the job is known in advance before its release date. After completion, job is delivered to customer. Three objective functions, namely, maximum flow time, maximum delivery time and total flow time are considered separately. For these objectives, we derive lower bounds on competitive ratios, provide online algorithms and analyze their competitive ratios.

Suggested Citation

  • Lin, Ran & Wang, Jun-Qiang & Oulamara, Ammar, 2023. "Online scheduling on parallel-batch machines with periodic availability constraints and job delivery," Omega, Elsevier, vol. 116(C).
    • Handle: RePEc:eee:jomega:v:116:y:2023:i:c:s0305048322002109
    DOI: 10.1016/j.omega.2022.102804
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    References listed on IDEAS

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    1. Wang, Jun-Qiang & Leung, Joseph Y.-T., 2014. "Scheduling jobs with equal-processing-time on parallel machines with non-identical capacities to minimize makespan," International Journal of Production Economics, Elsevier, vol. 156(C), pages 325-331.
    2. Dorit S. Hochbaum & Dan Landy, 1997. "Scheduling Semiconductor Burn-In Operations to Minimize Total Flowtime," Operations Research, INFORMS, vol. 45(6), pages 874-885, December.
    3. Ran Lin & Wenhua Li & Xing Chai, 2021. "On-line scheduling with equal-length jobs on parallel-batch machines to minimise maximum flow-time with delivery times," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(8), pages 1754-1761, August.
    4. Jun-Qiang Wang & Fei-Yi Yan & Peng-Hao Cui & Chao-Bo Yan, 2019. "Bernoulli serial lines with batching machines: Performance analysis and system-theoretic properties," IISE Transactions, Taylor & Francis Journals, vol. 51(7), pages 729-743, July.
    5. Xing Chai & Wenhua Li & Yuejuan Zhu, 2021. "Online scheduling to minimize maximum weighted flow-time on a bounded parallel-batch machine," Annals of Operations Research, Springer, vol. 298(1), pages 79-93, March.
    6. Mosheiov, Gur & Sarig, Assaf & Strusevich, Vitaly A & Mosheiff, Jonathan, 2018. "Two-machine flow shop and open shop scheduling problems with a single maintenance window," European Journal of Operational Research, Elsevier, vol. 271(2), pages 388-400.
    7. Chengwen Jiao & Wenhua Li & Jinjiang Yuan, 2014. "A Best Possible Online Algorithm For Scheduling To Minimize Maximum Flow-Time On Bounded Batch Machines," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-10.
    8. Jun-Qiang Wang & Guo-Qiang Fan & Zhixin Liu, 2020. "Mixed batch scheduling on identical machines," Journal of Scheduling, Springer, vol. 23(4), pages 487-496, August.
    9. Chung-Lun Li, 2008. "A note on unrelated parallel machine scheduling with time-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(12), pages 1696-1697, December.
    10. Peihai Liu & Xiwen Lu, 2015. "Online unbounded batch scheduling on parallel machines with delivery times," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 228-236, January.
    11. Wang, Jun-Qiang & Fan, Guo-Qiang & Zhang, Yingqian & Zhang, Cheng-Wu & Leung, Joseph Y.-T., 2017. "Two-agent scheduling on a single parallel-batching machine with equal processing time and non-identical job sizes," European Journal of Operational Research, Elsevier, vol. 258(2), pages 478-490.
    12. Jihene Kaabi & Youssef Harrath, 2019. "Scheduling on uniform parallel machines with periodic unavailability constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 57(1), pages 216-227, January.
    13. Chung-Yee Lee & Reha Uzsoy & Louis A. Martin-Vega, 1992. "Efficient Algorithms for Scheduling Semiconductor Burn-In Operations," Operations Research, INFORMS, vol. 40(4), pages 764-775, August.
    14. Chung‐Yee Lee & Zhi‐Long Chen, 2000. "Scheduling jobs and maintenance activities on parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(2), pages 145-165, March.
    15. Bachtenkirch, David & Bock, Stefan, 2022. "Finding efficient make-to-order production and batch delivery schedules," European Journal of Operational Research, Elsevier, vol. 297(1), pages 133-152.
    16. Yuan, Jinjiang & Qi, Xianglai & Lu, Lingfa & Li, Wenhua, 2008. "Single machine unbounded parallel-batch scheduling with forbidden intervals," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1212-1217, May.
    17. Mor, Baruch & Mosheiov, Gur, 2014. "Batch scheduling with a rate-modifying maintenance activity to minimize total flowtime," International Journal of Production Economics, Elsevier, vol. 153(C), pages 238-242.
    18. Zhang, Jun & Wang, Xuping & Huang, Kai, 2018. "On-line scheduling of order picking and delivery with multiple zones and limited vehicle capacity," Omega, Elsevier, vol. 79(C), pages 104-115.
    19. Zhao, Ruijia & Song, Yunting & Wang, Haoze & Xie, Xinlian, 2022. "Bi-objective optimisation model and its exact solution method of profit and market share of novel repair-and-support ships based on game theory," Omega, Elsevier, vol. 113(C).
    20. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    21. Omid Shahvari & Rasaratnam Logendran & Madjid Tavana, 2022. "An efficient model-based branch-and-price algorithm for unrelated-parallel machine batching and scheduling problems," Journal of Scheduling, Springer, vol. 25(5), pages 589-621, October.
    22. Chung Keung Poon & Wenci Yu, 2005. "On-Line Scheduling Algorithms for a Batch Machine with Finite Capacity," Journal of Combinatorial Optimization, Springer, vol. 9(2), pages 167-186, March.
    23. Gouchuan Zhang & Xiaoqiang Cai & C.K. Wong, 2001. "On‐line algorithms for minimizing makespan on batch processing machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(3), pages 241-258, April.
    24. Kay Peeters & Henny van Ooijen, 2020. "Hybrid make-to-stock and make-to-order systems: a taxonomic review," International Journal of Production Research, Taylor & Francis Journals, vol. 58(15), pages 4659-4688, July.
    25. Yin, Yunqiang & Wang, Yan & Cheng, T.C.E. & Liu, Wenqi & Li, Jinhai, 2017. "Parallel-machine scheduling of deteriorating jobs with potential machine disruptions," Omega, Elsevier, vol. 69(C), pages 17-28.
    26. Xu, Jun & Wang, Jun-Qiang & Liu, Zhixin, 2022. "Parallel batch scheduling: Impact of increasing machine capacity," Omega, Elsevier, vol. 108(C).
    27. Husseinzadeh Kashan, Ali & Ozturk, Onur, 2022. "Improved MILP formulation equipped with valid inequalities for scheduling a batch processing machine with non-identical job sizes," Omega, Elsevier, vol. 112(C).
    28. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    29. Pereira, Daniel Filipe & Oliveira, José Fernando & Carravilla, Maria Antónia, 2022. "Merging make-to-stock/make-to-order decisions into sales and operations planning: A multi-objective approach," Omega, Elsevier, vol. 107(C).
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