Single-machine scheduling with mixed precedence constraints

被引:0
作者
Levner, E
Vlach, M
机构
[1] Ctr Technol Educ Holon, Holon, Israel
[2] Japan Adv Inst Sci & Technol, Sch Informat Sci, Tatsunokuchi, Ishikawa 9231292, Japan
基金
日本学术振兴会;
关键词
D O I
10.15807/jorsj.42.330
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 paper deals with a single machine scheduling problem involving a general precedence structure that permits both ordinary and fuzzy precedence constraints. Feasible schedules are evaluated not only by their cost but also by the degree of satisfaction with their precedence structure. An O(m log n + max(n(2), kn(2)))-time algorithm is proposed for finding nondominated solutions of the resulting bi-criteria. scheduling problem where n is the number of jobs, k is the number of fuzzy constraints, and m is the total number of precedence constraints.
引用
收藏
页码:330 / 341
页数:12
相关论文
共 15 条
[1]  
Cormen T. H., 1990, INTRO ALGORITHMS
[2]  
Gaspin C., 1989, Telematics and Informatics, V6, P159, DOI 10.1016/S0736-5853(89)80013-9
[3]   MAXIMIZING THE VALUE OF A SPACE MISSION [J].
HALL, NG ;
MAGAZINE, MJ .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1994, 78 (02) :224-241
[4]   ONE MACHINE SCHEDULING PROBLEM WITH FUZZY DUEDATES [J].
HAN, SS ;
ISHII, H ;
FUJII, S .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1994, 79 (01) :1-12
[5]   SINGLE-MACHINE SCHEDULING PROBLEM WITH FUZZY PRECEDENCE RELATION [J].
ISHII, H ;
TADA, M .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 87 (02) :284-288
[6]   2 SCHEDULING PROBLEMS WITH FUZZY DUE-DATES [J].
ISHII, H ;
TADA, M ;
MASUDA, T .
FUZZY SETS AND SYSTEMS, 1992, 46 (03) :339-347
[7]   AUTOMATED 2-MACHINE FLOWSHOP SCHEDULING - A SOLVABLE CASE [J].
KISE, H ;
SHIOYAMA, T ;
IBARAKI, T .
IIE TRANSACTIONS, 1991, 23 (01) :10-16
[8]  
Lawler E., 1993, LOGISTICS PRODUCTION, DOI 10.1016/S0927-0507(05)80189-6
[9]   FUNCTIONAL EQUATION AND ITS APPLICATION TO RESOURCE ALLOCATION AND SEQUENCING PROBLEMS [J].
LAWLER, EL ;
MOORE, JM .
MANAGEMENT SCIENCE SERIES A-THEORY, 1969, 16 (01) :77-84
[10]   OPTIMAL SEQUENCING OF A SINGLE MACHINE SUBJECT TO PRECEDENCE CONSTRAINTS [J].
LAWLER, EL .
MANAGEMENT SCIENCE SERIES A-THEORY, 1973, 19 (05) :544-546