AN APPROXIMATION ALGORITHM FOR A SINGLE-MACHINE SCHEDULING PROBLEM WITH RELEASE TIMES, DELIVERY TIMES AND CONTROLLABLE PROCESSING TIMES

被引：6

作者：

NOWICKI, E

机构：

[1] Technical University of Wroclaw, Institute of Engineering Cybernetics, 50-372 Wroclaw

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 1994年 / 72卷 / 01期

关键词：

SINGLE-MACHINE SCHEDULING; APPROXIMATION ALGORITHMS; WORST-CASE ANALYSIS;

D O I：

10.1016/0377-2217(94)90331-X

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

The paper deals with a single-machine scheduling problem with release times, delivery times and controllable job processing times. It is assumed that the cost of performing a job is a linear function of its processing time, and the total schedule cost to be minimized is the total processing cost plus maximum completion time cost. In consequence, the processing order of jobs and their processing times are decision variables. A (rho + 1/3)-approximation algorithm for the problem is provided, where rho is the worst-case performance bound of a procedure for solving the pure sequencing problem.

引用

页码：74 / 81

页数：8

共 50 条

[1] AN APPROXIMATION ALGORITHM FOR A SINGLE-MACHINE SCHEDULING PROBLEM WITH RELEASE TIMES AND DELIVERY TIMES
NOWICKI, E
SMUTNICKI, C
DISCRETE APPLIED MATHEMATICS, 1994, 48 (01) : 69 - 79
[2] Single machine scheduling problem with controllable processing times and resource dependent release times
Choi, Byung-Cheon
Yoon, Suk-Hun
Chung, Sung-Jin
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 181 (02) : 645 - 653
[3] SCHEDULING JOBS ON A SINGLE-MACHINE WITH RELEASE DATES, DELIVERY TIMES AND CONTROLLABLE PROCESSING TIMES - WORST-CASE ANALYSIS
ZDRZALKA, S
OPERATIONS RESEARCH LETTERS, 1991, 10 (09) : 519 - 523
[4] Single-machine scheduling with controllable processing times and learning effect
Yin, Na
Wang, Xiao-Yuan
INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2011, 54 (5-8): : 743 - 748
[5] SINGLE-MACHINE SCHEDULING WITH CONTROLLABLE PROCESSING TIMES - A PARAMETRIC STUDY
LEE, IS
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 1991, 22 (02) : 105 - 110
[6] A SINGLE-MACHINE SCHEDULING PROBLEM WITH RANDOM PROCESSING TIMES
CHAKRAVARTHY, S
NAVAL RESEARCH LOGISTICS, 1986, 33 (03) : 391 - 397
[7] Single-machine scheduling with controllable processing times and learning effect
Na Yin
Xiao-Yuan Wang
The International Journal of Advanced Manufacturing Technology, 2011, 54 : 743 - 748
[8] Single-machine scheduling of multiple projects with controllable processing times
Geng, Zhichao
Yuan, Jinjiang
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2023, 308 (03) : 1074 - 1090
[9] Single-machine scheduling with past-sequence-dependent delivery times and release times
Liu, Ming
Zheng, Feifeng
Chu, Chengbin
Xu, Yinfeng
INFORMATION PROCESSING LETTERS, 2012, 112 (21) : 835 - 838
[10] A dynamic programming algorithm for the single-machine scheduling problem with release dates and deteriorating processing times
Alberto Bosio
Giovanni Righini
Mathematical Methods of Operations Research, 2009, 69

← 1 2 3 4 5 →