Maximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous servers

被引：18
作者：
Wang, TY [1 ]
Ke, JC
Wang, KH
Ho, SC
机构：
[1] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan
[2] Natl Taiwan Inst Technol, Dept Stat, Taichung 404, Taiwan
[3] Natl Chiao Tung Univ, Dept Ind Engn & Management, Hsinchu 300, Taiwan
来源：
MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2006年 / 63卷 / 02期
关键词：
confidence interval; heterogeneous servers; maximum likelihood estimate; queue;
D O I：
10.1007/s00186-005-0047-z
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：
This paper studies maximum likelihood estimates as well as confidence intervals of an M/M/R queue with heterogeneous servers under steady-state conditions. We derive the maximum likelihood estimates of the mean arrival rate and the three unequal mean service rates for an M/M/3 queue with heterogeneous servers, and then extend the results to an M/M/R queue with heterogeneous servers. We also develop the confidence interval formula for the parameter rho, the probability of empty system P-0, and the expected number of customers in the system E[N], of an M/M/R queue with heterogeneous servers.
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页码：371 / 384
页数：14
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