Queue lengths in the GI(X)/M(R)/infinity service system

被引：4
|
作者：
Liu, L
Kashyap, BRK
Templeton, JGC
机构：
[1] INDIAN INST MANAGEMENT,CALCUTTA 700027,W BENGAL,INDIA
[2] UNIV TORONTO,DEPT IND ENGN,TORONTO,ON M5S 1A4,CANADA
来源：
QUEUEING SYSTEMS | 1996年 / 22卷 / 1-2期
关键词：
infinite server; batch arrival; batch service; analytical results;
D O I：
10.1007/BF01159397
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Service systems with queueing often have both batch arrivals and batch services. This paper focuses on the number of busy servers and waiting customers in the GI(X)/M(R)/infinity system. For the number of busy servers, we obtain a recursive relation for the partial binomial moments in terms of matrices and explicit expressions for the marginal binomial moments. Special cases are also discussed to provide a more heuristic understanding of the model.
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页码：129 / 144
页数：16
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