SCHEDULING TO MINIMIZE THE TOTAL RESOURCE CONSUMPTION WITH A CONSTRAINT ON THE SUM OF COMPLETION TIMES

被引:19
作者
LI, CL
机构
[1] John M. Olin School of Business, Washington University, St. Louis
关键词
SCHEDULING; SEQUENCING; RELEASE DATES; RESOURCE ALLOCATION;
D O I
10.1016/0377-2217(93)E0255-V
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider the problem of scheduling a set of jobs on a single machine where the release time of a job is related to the amount of resource consumed. The objective is to minimize the total amount of resource consumed subject to a constraint on the sum of completion times of the jobs. We show that the problem is NP-hard in general and can be solved efficiently when the resource consumption function is linear. The parallel machine case is also discussed.
引用
收藏
页码:381 / 388
页数:8
相关论文
共 8 条
[1]  
CHENT TCE, 1994, IN PRESS IEEE T AUTO
[2]  
Conway R, 1967, THEORY SCHEDULING
[3]   ONE-PROCESSOR SCHEDULING WITH SYMMETRIC EARLINESS AND TARDINESS PENALTIES [J].
GAREY, MR ;
TARJAN, RE ;
WILFONG, GT .
MATHEMATICS OF OPERATIONS RESEARCH, 1988, 13 (02) :330-348
[4]  
Garey MR., 1979, COMPUTERS INTRACTABI
[5]  
JANIAK A, 1987, KYBERNETIKA, V23, P289
[6]   SINGLE-MACHINE SCHEDULING PROBLEM WITH A COMMON DEADLINE AND RESOURCE DEPENDENT RELEASE DATES [J].
JANIAK, A .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1991, 53 (03) :317-325
[7]   TIME-OPTIMAL CONTROL IN A SINGLE-MACHINE PROBLEM WITH RESOURCE CONSTRAINTS [J].
JANIAK, A .
AUTOMATICA, 1986, 22 (06) :745-747
[8]  
Lawler E.L., 1993, LOGISTICS PRODUCTION