Single machine lot scheduling with optional job-rejection

Baruch Mor, Gur Mosheiov () and Dana Shapira
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Baruch Mor: Ariel University
Gur Mosheiov: The Hebrew University
Dana Shapira: Ariel University

Journal of Combinatorial Optimization, 2021, vol. 41, issue 1, No 1, 11 pages

Abstract: Abstract We consider single machine lot scheduling problems. A number of customer orders of different sizes may be processed in the same lot. Splitting orders between consecutive lots is allowed. Three scheduling measures are considered: makespan, total completion time and total weighted completion time. In all cases, the goal is minimizing the relevant scheduling measure, subject to an upper bound on the total permitted rejection cost. All three problems studied here are NP-hard. We introduce efficient pseudo-polynomial dynamic programming algorithms for all cases. Our numerical tests indicate that the proposed algorithms can solve efficiently large-size problems.

Keywords: Lot scheduling; Single machine; Order rejection; Dynamic programming (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10878-020-00651-8

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