EURO 2024 Copenhagen
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1246. Scheduling on parallel dedicated machines with job rejection

Invited abstract in session MB-26: Novel topics and recent advances in solution approaches in scheduling, stream Combinatorial Optimization.

Monday, 10:30-12:00
Room: 012 (building: 208)

Authors (first author is the speaker)

1. Baruch Mor
Department of Economics and Business Administration, Ariel University
2. Gur Mosheiov
School of Business, Hebrew University

Abstract

We study scheduling problems on parallel dedicated machines. Thus, each job can be processed on one specific machine only. The option of job-rejection is considered, and the total permitted rejection cost of all the jobs is bounded. Six scheduling problems are solved: (i) minimizing makespan, (ii) minimizing makespan with release-dates, (iii) minimizing total completion time, (iv) minimizing total weighted completion time, (v) minimizing total load, and (vi) minimizing maximum tardiness. Pseudo-polynomial dynamic programming algorithms are introduced for all these NP-hard problems.

Keywords

Status: accepted


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