Approximation algorithms for scheduling unrelated parallel machines with release dates

被引：0

作者：

Avdeenko, T. V. ^{[1
]}

Mesentsev, Y. A. ^{[1
]}

Estraykh, I. V. ^{[1
]}

机构：

[1] Novosibirsk State Tech Univ, 20,Karla Marksa Ave, Novosibirsk 630073, Russia

来源：

INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGIES IN BUSINESS AND INDUSTRY 2016 | 2017年 / 803卷

关键词：

MAKESPAN;

D O I：

10.1088/1742-6596/803/1/012007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we propose approaches to optimal scheduling of unrelated parallel machines with release dates. One approach is based on the scheme of dynamic programming modified with adaptive narrowing of search domain ensuring its computational effectiveness. We discussed complexity of the exact schedules synthesis and compared it with approximate, close to optimal, solutions. Also we explain how the algorithm works for the example of two unrelated parallel machines and five jobs with release dates. Performance results that show the efficiency of the proposed approach have been given.

引用

页数：6

共 50 条

[1] APPROXIMATION ALGORITHMS FOR SCHEDULING UNRELATED PARALLEL MACHINES
LENSTRA, JK
SHMOYS, DB
TARDOS, E
[J]. MATHEMATICAL PROGRAMMING, 1990, 46 (03) : 259 - 271
[2] Bicriteria scheduling problem for unrelated parallel machines with release dates
Lin, Yang-Kuei
Lin, Hao-Chen
[J]. COMPUTERS & OPERATIONS RESEARCH, 2015, 64 : 28 - 39
[3] Efficient Approaches to Scheduling for Unrelated Parallel Machines with Release Dates
Avdeenko, Tatiana V.
Mesentsev, Yury A.
[J]. IFAC PAPERSONLINE, 2016, 49 (12): : 1743 - 1748
[4] Approximation Algorithms for Scheduling with Rejection on Two Unrelated Parallel Machines
Lin, Feng
Zhang, Xianzhao
Cai, Zengxia
[J]. INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS, 2015, 6 (11) : 260 - 264
[5] Experimental comparison of approximation algorithms for scheduling unrelated parallel machines
Vredeveld, T
Hurkens, C
[J]. INFORMS JOURNAL ON COMPUTING, 2002, 14 (02) : 175 - 189
[6] A new approximation algorithm for unrelated parallel machine scheduling with release dates
Pei, Zhi
Wan, Mingzhong
Wang, Ziteng
[J]. ANNALS OF OPERATIONS RESEARCH, 2020, 285 (1-2) : 397 - 425
[7] A new approximation algorithm for unrelated parallel machine scheduling with release dates
Zhi Pei
Mingzhong Wan
Ziteng Wang
[J]. Annals of Operations Research, 2020, 285 : 397 - 425
[8] Scheduling jobs with release dates and tails on two unrelated parallel machines to minimize the makespan
Lancia, G
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 120 (02) : 277 - 288
[9] Improved approximation algorithms for scheduling with release dates
Goemans, MX
[J]. PROCEEDINGS OF THE EIGHTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 1997, : 591 - 598
[10] Improved approximation algorithms for parallel machine scheduling with release dates and job rejection
Zhong, Xueling
Ou, Jinwen
[J]. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2017, 15 (04): : 387 - 406

← 1 2 3 4 5 →