OPTIMAL ALLOCATION OF RESOURCES TO NODES OF PARALLEL AND SERIES SYSTEMS

被引:67
作者
SHAKED, M [1 ]
SHANTHIKUMAR, JG [1 ]
机构
[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720
关键词
MINIMAL REPAIRS; HOT AND COLD STANDBY SPARES; OPTIMAL RESOURCE ALLOCATION; MAJORIZATION; SCHUR-CONVEXITY AND CONCAVITY; STOCHASTIC ORDER; LIKELIHOOD RATIO ORDER; INCREASING FAILURE RATE; LOGCONCAVITY; NONHOMOGENEOUS POISSON PROCESS; RELIABILITY THEORY;
D O I
10.2307/1427718
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we consider parallel and series systems, the components of which can be improved'. The 'improvement' consists of supplying the components with cold or hot standby spares or by allotting to them fixed budgets for minimal repairs. A fixed total resource of spares or minimal repairs is available. We find the optimal allocation of the resource items in several commonly encountered settings.
引用
收藏
页码:894 / 914
页数:21
相关论文
共 18 条
[1]   CHANGE OF LIFE DISTRIBUTION VIA A HAZARD TRANSFORMATION - AN INEQUALITY WITH APPLICATION TO MINIMAL REPAIR [J].
ARJAS, E ;
NORROS, I .
MATHEMATICS OF OPERATIONS RESEARCH, 1989, 14 (02) :355-361
[2]  
Ascher H., 1984, REPAIRABLE SYSTEMS R
[3]   OPTIMUM PREVENTIVE MAINTENANCE POLICIES [J].
BARLOW, R ;
HUNTER, L .
OPERATIONS RESEARCH, 1960, 8 (01) :90-100
[4]   ISOTONIC REGRESSION PROBLEM AND ITS DUAL [J].
BARLOW, RE ;
BRUNK, HD .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1972, 67 (337) :140-&
[5]  
BARLOW RE, 1975, STATISTICAL THEORY R
[6]  
BAXTER LA, 1990, SOR9012 NEW YORK U T
[7]   REDUNDANCY IMPORTANCE AND ALLOCATION OF SPARES IN COHERENT SYSTEMS [J].
BOLAND, PJ ;
ELNEWEIHI, E ;
PROSCHAN, F .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1991, 29 (1-2) :55-66
[8]  
BOLAND PJ, 1990, ADV APPL PROBAB, V24, P161
[9]  
DEREMAN C, 1974, NAVAL RES LOGIST Q, V21, P1
[10]   OPTIMAL ALLOCATION OF COMPONENTS IN PARALLEL-SERIES AND SERIES-PARALLEL SYSTEMS [J].
ELNEWEIHI, E ;
PROSCHAN, F ;
SETHURAMAN, J .
JOURNAL OF APPLIED PROBABILITY, 1986, 23 (03) :770-777