ON THE OPTIMAL ASSIGNMENT OF SERVERS IN A 2 STATIONS TANDEM QUEUE WITH NO INTERMEDIATE WAITING ROOM

被引:2
作者
FROSTIG, E [1 ]
机构
[1] IOWA STATE UNIV SCI & TECHNOL,DEPT IND & MFG ENGN,AMES,IA 50011
关键词
TANDEM QUEUES; WAITING TIMES; DEPARTURE TIMES; BLOCKING; STOCHASTIC ORDERING; CONVEX ORDERING; REVERSE HAZARD RATE ORDERING;
D O I
10.1016/0167-6377(93)90078-U
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
A tandem queueing system with two stations and no intermediate storage between them, is considered. The paper studies the optimal assignment of the slower and the faster servers to the two stations in order to stochastically minimize the departure times form the first station, the waiting time before the first station, and the probability that the first station is either busy or blocked.
引用
收藏
页码:13 / 18
页数:6
相关论文
共 10 条
[1]   A SEQUENCE OF 2 SERVERS WITH NO INTERMEDIATE QUEUE [J].
AVIITZHAK, B ;
YADIN, M .
MANAGEMENT SCIENCE, 1965, 11 (05) :553-564
[2]   A SEQUENCE OF SERVICE STATIONS WITH ARBITRARY INPUT AND REGULAR SERVICE TIMES [J].
AVIITZHAK, B .
MANAGEMENT SCIENCE, 1965, 11 (05) :565-571
[3]  
DATTATREYA ES, 1978, THESIS U CALIFORNIA
[4]  
DING J, 1991, PROBAB ENG INFORM SC, V5, P159
[5]   OPTIMAL ORDER OF SERVERS FOR TANDEM QUEUES IN LIGHT TRAFFIC [J].
GREENBERG, BS ;
WOLFF, RW .
MANAGEMENT SCIENCE, 1988, 34 (04) :500-508
[6]   ON THE OPTIMAL ORDER OF M-MACHINES IN TANDEM [J].
HUANG, CC ;
WEISS, G .
OPERATIONS RESEARCH LETTERS, 1990, 9 (05) :299-303
[7]   CHARACTERIZATION OF OPTIMAL ORDER OF SERVERS IN A TANDEM QUEUE WITH BLOCKING [J].
SHANTHIKUMAR, JG ;
YAMAZAKI, G ;
SAKASEGAWA, H .
OPERATIONS RESEARCH LETTERS, 1991, 10 (01) :17-22
[8]  
STOYAN D, 1983, COMP METHODS QUEUES
[9]   ARRANGING QUEUES IN SERIES - A SIMULATION EXPERIMENT [J].
SURESH, S ;
WHITT, W .
MANAGEMENT SCIENCE, 1990, 36 (09) :1080-1091
[10]   PROPERTIES OF DUALITY IN TANDEM QUEUING SYSTEMS [J].
YAMAZAKI, G ;
SAKASEGAWA, H .
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1975, 27 (02) :201-212