CLOSURE APPROXIMATION FOR THE NONSTATIONARY M-M-S QUEUE

被引:75
作者
ROTHKOPF, MH
OREN, SS
机构
关键词
D O I
10.1287/mnsc.25.6.522
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
Typical queues do not have constant arrival rates. This paper discusses effective computational methods for dealing with queues having nonstationary arrival processes. It presents a computationally undemanding approximate method for finding the time dependent mean and standard deviation of the number of customers in an s server queueing system with time-varying arrival and service rates. Results are exhibited for various 1 and 3 server queues with constant service rates and sinusoidal components in the arrival date.
引用
收藏
页码:522 / 534
页数:13
相关论文
共 29 条
[1]  
CHANG SSC, 1977, 7TH P ANN PITTSB C M, P1075
[2]   A WAITING LINE PROCESS OF MARKOV TYPE [J].
CLARKE, AB .
ANNALS OF MATHEMATICAL STATISTICS, 1956, 27 (02) :452-459
[3]  
Cox D.R., 1961, QUEUES
[4]   OBSERVING STOCHASTIC PROCESSES AND APPROXIMATE TRANSFORM INVERSION [J].
GAVER, DP .
OPERATIONS RESEARCH, 1966, 14 (03) :444-&
[5]   LIMIT-THEOREMS FOR PERIODIC QUEUES [J].
HARRISON, JM ;
LEMOINE, AJ .
JOURNAL OF APPLIED PROBABILITY, 1977, 14 (03) :566-576
[6]  
HENRICI P, 1964, ELEMENTS NUMERICAL A
[7]  
HOWARD WJ, 1976, TURN TIME KEY FACTOR
[8]  
Isihara A, 1971, STAT PHYS
[9]  
KELLER JB, COMMUNICATION
[10]  
KOLSSAR PJ, 1975, OPERATIONS RES, V23, P1045