Abstract
In this paper, we study an M/M/2 queueing system with multiplevacations where the service rates of the servers are not identical.This queuing system has been analyzed as a quasi-birth and deathprocess by Kumar and Madheswari (2005). However, by expressing the ratematrix explicitly, we have obtained a explicit expression of thestationary distribution of the queue length. The conditionalstochastic decomposition properties of the queue length and thewaiting time have been also established for such a system.
Highlights
We study an M/M/2 queueing system with multiple vacations where the service rates of the servers are not identical
The conditional stochastic decomposition properties of the queue length and the waiting time have been established for such a system
A queueing system with two heterogeneous servers and multiple vacations was studied by Kumar and Madheswari (2005), who obtained the stationary queue length distribution by using a matrix geometric method and provided an analysis of busy period and waiting time
Summary
We study an M/M/2 queueing system with multiple vacations where the service rates of the servers are not identical. Syntax Warning: PDF file is damaged - attempting to reconstruct xref table... A Markovian queue with two heterogeneous servers and multiple vacations Dequan Yue 1, , Jun Yu 1, and Wuyi Yue 2, 1.
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