Restricted assignment scheduling with resource constraints

被引：7

作者：

Dosa, Gyorgy ^{[1
]}

Kellerer, Hans ^{[2
]}

Tuza, Zsolt ^{[3
,4
]}

机构：

[1] Univ Pannonia, Dept Math, Egyet U 10, H-8200 Veszprem, Hungary

[2] Karl Franzens Univ Graz, Inst Stat & Operat Res, Univ Str 15, A-8010 Graz, Austria

[3] Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda U 13-15, H-1053 Budapest, Hungary

[4] Univ Pannonia, Dept Comp Sci & Syst Technol, Egyet U 10, H-8200 Veszprem, Hungary

来源：

THEORETICAL COMPUTER SCIENCE | 2019年 / 760卷

关键词：

Scheduling; Restricted assignment; Resources; APX hardness; Graph coloting; PARALLEL DEDICATED MACHINES; APPROXIMATION; PROCESSORS; ALGORITHMS; TASKS;

D O I：

10.1016/j.tcs.2018.08.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider parallel machine scheduling with job assignment restrictions, i.e., each job can only be processed on a certain subset of the machines. Moreover, each job requires a set of renewable resources. Any resource can be used by only one job at any time. The objective is to minimize the makespan. We present approximation algorithms with constant worst-case bound in the case that each job requires only a fixed number of resources. For some special cases optimal algorithms with polynomial running time are given. If any job requires at most one resource and the number of machines is fixed, we give a PTAS. On the other hand we prove that the problem is APX-hard, even when there are just three machines and the input is restricted to unit-time jobs. (C) 2018 Published by Elsevier B.V.

引用

页码：72 / 87

页数：16

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