Maximum Likelihood Estimates and Confidence Intervals of an M/M/R Queue with Heterogeneous Servers |
| |
| Authors: | Tsung-Yin Wang Jau-Chuan Ke Kuo-Hsiung Wang Siu-Chuen Ho |
| |
| Affiliation: | (1) Department of Industrial Engineering and Management, National Chiao Tung University, Hsinchu, 300, Taiwan;(2) Department of statistics, National Taichung Institute of Technology, Taichung, 404, Taiwan;(3) Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, Taiwan |
| |
| Abstract: | 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 ρ, the probability of empty system P
0, and the expected number of customers in the system EN], of an M/M/R queue with heterogeneous servers |
| |
| Keywords: | Confidence interval Heterogeneous servers Maximum likelihood estimate Queue |
| 本文献已被 SpringerLink 等数据库收录！ |
|
