Matrix Geometric Method for M/M/1 Queueing Model With And Without Breakdown ATM Machines
Journal Title: American journal of Engineering Research - Year 2018, Vol 7, Issue 1
Abstract
The matrix geometric method is used to derive the stationary distribution of the M/M/1 queueing model with breakdown using the transition structure of its Markov Chain. The M/M/1 queueing model for the ATM machine using the matrix geometric method will be introduced. We study the stability of the two systems with and without breakdown to obtain expressions of the performance measures for the two models. Finally, a comparative study was introduced between the M/M/1 queueing models with and without breakdown.
Authors and Affiliations
Shoukry, E. M, Salwa, M. Assar, Boshra, A. Shehata
Keywords
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