A NOTE ON THE CONVEXITY OF PERFORMANCE-MEASURES OF M/M/C QUEUING-SYSTEMS

被引：63

作者：

LEE, HL ^{[1
]}

COHEN, MA ^{[1
]}

机构：

[1] UNIV PENN,WHARTON SCH,DEPT DECIS SCI,PHILADELPHIA,PA 19104

来源：

JOURNAL OF APPLIED PROBABILITY | 1983年 / 20卷 / 04期

关键词：

D O I：

10.2307/3213606

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：

Convexity of performance measures of queueing systems is important in solving control problems of multi-facility systems. It is proved that performance measures such as the expected waiting time, expected number in queue, and the Erlang delay formula are convex with respect to the arrival rate or the traffic intensity of the M/M/c queueing system.

引用

页码：920 / 923

页数：4

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