COMPLETION-TIME VARIANCE MINIMIZATION ON A SINGLE-MACHINE IS DIFFICULT

被引:103
作者
KUBIAK, W
机构
[1] Faculty of Business Administration, Memorial University of Newfoundland, St. John's
基金
加拿大自然科学与工程研究理事会;
关键词
SCHEDULING; VARIANCE; NP-COMPLETENESS;
D O I
10.1016/0167-6377(93)90019-D
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
The complexity of the completion time variance minimization (CTV) problem on a single machine has been open since the paper by Merten and Muller (Management Science 18 (1972)). In this paper we prove that the CTV problem is NP-hard.
引用
收藏
页码:49 / 59
页数:11
相关论文
共 13 条
[11]   VARIANCE MINIMIZATION IN SINGLE MACHINE SEQUENCING PROBLEMS [J].
MERTEN, AG ;
MULLER, ME .
MANAGEMENT SCIENCE SERIES A-THEORY, 1972, 18 (09) :518-528
[12]   MINIMIZING TIME-IN-SYSTEM VARIANCE FOR A FINITE JOBSET [J].
SCHRAGE, L .
MANAGEMENT SCIENCE SERIES A-THEORY, 1975, 21 (05) :540-543
[13]   DETERMINISTIC AND RANDOM SINGLE-MACHINE SEQUENCING WITH VARIANCE MINIMIZATION [J].
VANI, V ;
RAGHAVACHARI, M .
OPERATIONS RESEARCH, 1987, 35 (01) :111-120