A simple approach to the product rate variation problem via axiomatic

被引:9
作者
Balinski, M [1 ]
Shahidi, N
机构
[1] Ecole Polytech, CNRS, F-75005 Paris, France
[2] Ecole Polytech, Lab Econometrie, F-75005 Paris, France
关键词
production; apportionment; parametric methods; scheduling; assembly systems; just in time;
D O I
10.1016/S0167-6377(98)00008-X
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
New simple solutions are provided for minimizing the variation of production rates in just-in-time systems. The approach depends on the fact that this problem is equivalent to the problem of apportionment. Using known results in apportionment and a new characterization of methods that yield "cyclic" solutions, a particularly apt solution emerges for the "production variation problem". (C) 1998 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:129 / 135
页数:7
相关论文
共 13 条
[1]   THE PROBLEM WITH APPORTIONMENT [J].
BALINSKI, M .
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1993, 36 (03) :134-148
[2]  
Balinski M, 1982, FAIR REPRESENTATION
[3]  
BALINSKI M, IN PRESS MATH SOC SC
[4]  
Balinski M. L., 1979, Mathematics of Operations Research, V4, P31, DOI 10.1287/moor.4.1.31
[5]   QUOTA METHOD OF APPORTIONMENT [J].
BALINSKI, ML ;
YOUNG, HP .
AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (07) :701-730
[6]   HUNTINGTON METHODS OF APPORTIONMENT [J].
BALINSKI, ML ;
YOUNG, HP .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 33 (04) :607-618
[7]  
Balinski ML., 1997, MATH SCI, V22, P1
[8]   A note on the relation between the product rate variation (PRV) problem and the apportionment problem [J].
Bautista, J ;
Companys, R ;
Corominas, A .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1996, 47 (11) :1410-1414
[9]   MINIMIZING VARIATION OF PRODUCTION-RATES IN JUST-IN-TIME SYSTEMS - A SURVEY [J].
KUBIAK, W .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1993, 66 (03) :259-271
[10]   LEVEL SCHEDULES FOR MIXED-MODEL ASSEMBLY LINES IN JUST-IN-TIME PRODUCTION SYSTEMS [J].
MILTENBURG, J .
MANAGEMENT SCIENCE, 1989, 35 (02) :192-207