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Machine scheduling with restricted rejection: An Application to task offloading in cloud–edge collaborative computing

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  • Li, Weidong
  • Ou, Jinwen

Abstract

With the burgeoning of the Internet of everything, the amount of data generated by edge devices increases dramatically. In order to relieve the huge pressure of the could computing center, a popular computing scheme, called edge computing, is to select and process part of the computation tasks on edge servers of the network. In this paper we model the task offloading problem motivated by the popular Cloud–Edge Collaborative Computing Frame as a parallel-machine scheduling problem with restricted job rejection. We present an easy-to-implement heuristic with worst-case bound analysis and polynomial time approximation schemes for the general problem and some of the important special cases.

Suggested Citation

  • Li, Weidong & Ou, Jinwen, 2024. "Machine scheduling with restricted rejection: An Application to task offloading in cloud–edge collaborative computing," European Journal of Operational Research, Elsevier, vol. 314(3), pages 912-919.
    • Handle: RePEc:eee:ejores:v:314:y:2024:i:3:p:912-919
    DOI: 10.1016/j.ejor.2023.11.002
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    References listed on IDEAS

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    1. Jinwen Ou & Xueling Zhong & Xiangtong Qi, 2016. "Scheduling parallel machines with inclusive processing set restrictions and job rejection," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(8), pages 667-681, December.
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    3. Ou, Jinwen & Zhong, Xueling, 2017. "Bicriteria order acceptance and scheduling with consideration of fill rate," European Journal of Operational Research, Elsevier, vol. 262(3), pages 904-907.
    4. Jinwen Ou & Xueling Zhong, 2017. "Order acceptance and scheduling with consideration of service level," Annals of Operations Research, Springer, vol. 248(1), pages 429-447, January.
    5. 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.
    6. Ravi Kannan, 1987. "Minkowski's Convex Body Theorem and Integer Programming," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 415-440, August.
    7. 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.
    8. H. W. Lenstra, 1983. "Integer Programming with a Fixed Number of Variables," Mathematics of Operations Research, INFORMS, vol. 8(4), pages 538-548, November.
    9. Zhong, Xueling & Ou, Jinwen & Wang, Guoqing, 2014. "Order acceptance and scheduling with machine availability constraints," European Journal of Operational Research, Elsevier, vol. 232(3), pages 435-441.
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