An FPTAS for scheduling with resource constraints

被引：0

作者：

Chen, Bo ^{[1
]}

Strusevich, Vitaly A. ^{[2
]}

机构：

[1] Univ Warwick, Warwick Business Sch, Coventry CV4 7AL, England

[2] Sherwood Rd, Kent, England

来源：

OPERATIONS RESEARCH LETTERS | 2023年 / 51卷 / 04期

关键词：

Scheduling; Approximation; Resource constraint; OPEN SHOP; APPROXIMATION; MINIMIZE; CLASSIFICATION;

D O I：

10.1016/j.orl.2023.06.001

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study a basic scheduling problem with resource constraints: A number of jobs need to be scheduled on two parallel identical machines with the objective of minimizing the makespan, subject to the constraint that jobs may require a unit of one of the given renewable resources during their execution. For this NP-hard problem, we develop a fully polynomial-time approximation scheme (FPTAS). Our FPTAS makes a novel use of existing algorithms for the subset-sum problem and the open shop scheduling problem. & COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页码：421 / 424

页数：4

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