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Performance Analysis of Multi-Server Queueing System Operating Under Control of a Random Environment
Che Soong Kim
Alexander Dudin
Valentina Khramova
Valentina Klimenok
出版
INTECH Open Access Publisher
, 2010
ISBN
9533070722
9789533070728
URL
http://books.google.com.hk/books?id=0nv-oAEACAAJ&hl=&source=gbs_api
註釋
The BMAP / PH / N /L system operating in a finite state space Markovian random environment is investigated for the finite and infinite buffer capacity. The joint stationary distribution of the number of the customers in the system, the state of the random environment, and the states of the underlying processes of arrival and service processes is calculated. The analytic formulas for performance measures of the system are derived. The Laplace-Stieltjes transform of sojourn time distribution is derived and the mean sojourn time is calculated. Selected results of numerical study are presented. They show an impact of the correlation in arrival process, illustrate the poor quality of the system characteristics approximation by means of more simple models, confirm the positive effect of the traffic redistribution between the peak and normal operation periods. The results can be used for the optimal design, capacity planning, and performance evaluation of real world systems in which operation of the system can be changed depending on some external factors.
