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.

引用

页码：129 / 144

页数：16

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