Analysis of BMAP(r)/M(r)/N(r) Type Queueing System Operating in Random Environment

Title & Authors
Analysis of BMAP(r)/M(r)/N(r) Type Queueing System Operating in Random Environment
Kim, Chesoong; Dudin, Sergey;

Abstract
A multi-server queueing system with an infinite buffer and impatient customers is analyzed. The system operates in the finite state Markovian random environment. The number of available servers, the parameters of the batch Markovian arrival process, the rate of customers` service, and the impatience intensity depend on the current state of the random environment and immediately change their values at the moments of jumps of the random environment. Dynamics of the system is described by the multi-dimensional asymptotically quasi-Toeplitz Markov chain. The ergodicity condition is derived. The main performance measures of the system are calculated. Numerical results are presented.
Keywords
Multi-Server Queue;Batch Markovian Arrival Process;Random Environment;Stationary Distribution of the System States;
Language
English
Cited by
1.
Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks, Automation and Remote Control, 2017, 78, 8, 1361
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