Bounded mixed batch scheduling with job release dates and rejection

This paper investigates a bounded mixed batch scheduling problem with job release dates and rejection. The machine processes a batch containing several jobs that their number does not exceed the machine capacity. For the case with a certain release date, we present a polynomial-time exact algorithm....

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Veröffentlicht in:	Operations research letters Jg. 57; S. 107159
Hauptverfasser:	Xu, Jun, Huang, Yong-Xing, Zhang, Daxing, Lin, Ran, Fan, Guo-Qiang
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier B.V 01.11.2024
Schlagworte:	Approximation algorithm Exact algorithm Mixed batch scheduling Polynomial-time approximation scheme Rejection penalty Mixed batch scheduling Exact algorithm Approximation algorithm Polynomial-time approximation scheme Rejection penalty
ISSN:	0167-6377
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Zusammenfassung:	This paper investigates a bounded mixed batch scheduling problem with job release dates and rejection. The machine processes a batch containing several jobs that their number does not exceed the machine capacity. For the case with a certain release date, we present a polynomial-time exact algorithm. For the case with a constant number of release dates, a pseudo-polynomial-time exact algorithm is proposed. For the general problem, we provide a 2-approximation algorithm and a polynomial-time approximation scheme. •We investigate a bounded mixed batch scheduling problem with job release dates and rejection penalty.•We present a polynomial-time exact algorithm and a pseudo-polynomial time exact algorithm for two special cases.•For the general problem, we devise a 2-approximation algorithm and a polynomial-time approximation scheme.
ISSN:	0167-6377
DOI:	10.1016/j.orl.2024.107159