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

共 50 条

[21] Constraints-driven scheduling and resource assignment
Kuchcinski, K
ACM TRANSACTIONS ON DESIGN AUTOMATION OF ELECTRONIC SYSTEMS, 2003, 8 (03) : 355 - 383
[22] Scheduling: Agreement graph vs resource constraints
Behdraouche, Mohamed
Boudhar, Mourad
Oulamara, Ammar
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2015, 240 (02) : 355 - 360
[23] Uncertain project scheduling problem with resource constraints
Xiaoyu Ji
Kai Yao
Journal of Intelligent Manufacturing, 2017, 28 : 575 - 580
[24] Approximation Algorithms for Scheduling with Resource and Precedence Constraints
Demirci, Gokalp
Hoffmann, Henry
Kim, David H. K.
35TH SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2018), 2018, 96
[25] Dynamic scheduling of design activities with resource constraints
Belhe, U
Kusiak, A
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 1997, 27 (01): : 105 - 111
[26] MULTIPROJECT STAFF SCHEDULING WITH VARIABLE RESOURCE CONSTRAINTS
DEAN, BV
DENZLER, DR
WATKINS, JJ
IEEE TRANSACTIONS ON ENGINEERING MANAGEMENT, 1992, 39 (01) : 59 - 72
[27] Optimal control and scheduling of system with resource constraints
Li, Zu-Xin
Wang, Wan-Liang
Lei, Bi-Cheng
Chen, Hui-Ying
Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2009, 26 (01): : 97 - 102
[28] Scheduling with multiple voltages under resource constraints
Sarrafzadeh, M
Raje, S
ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 1: VLSI, 1999, : 350 - 353
[29] SCHEDULING SUBJECT TO RESOURCE CONSTRAINTS - CLASSIFICATION AND COMPLEXITY
BLAZEWICZ, J
LENSTRA, JK
KAN, AHGR
DISCRETE APPLIED MATHEMATICS, 1983, 5 (01) : 11 - 24
[30] Research on project scheduling problem with resource constraints
Zhou, G. (guanglanzhou@mail.zjgsu.edu.cn), 2013, Academy Publisher (08)

← 1 2 3 4 5 →