 Online early work scheduling on parallel machinesYiwei Jiang, Mengjing Wu, Xin Chen, Jianming Dong, T.C.E. Cheng, Jacek Blazewicz and Min Ji European Journal of Operational Research, 2024, vol. 315, issue 3, 855-862 Abstract: We consider non-preemptive online parallel-machine scheduling with a common due date to maximize the total early work of all the jobs, i.e., the total processing time of the jobs (or parts) completed before the common due date. For the general case of m machines, we provide a parameter lower bound with respect to m. For the online algorithm, we first show that the tight competitive ratio of the classical list scheduling (LS) algorithm is 43. We then improve the upper bound on the competitive ratio for the previous algorithm, EFFm, to 1.2956. Additionally, we present a formula to compute the upper bound on the competitive ratio for any given m. For the case of three machines, we improve the lower bound to 1.1878 and propose an improved online algorithm with a tight competitive ratio of 1.2483. Keywords: Combinatorial optimization; Parallel-machine scheduling; Early work; Online algorithm; Competitive ratio (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:315:y:2024:i:3:p:855-862 DOI: 10.1016/j.ejor.2024.01.009 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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