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
Related Articles
- EP ID EP396047
- DOI -
- Views 108
- Downloads 0
Prospects of TVET for Ghana’s Industrial Development
In Ghana the dissemination and use of Technical and Vocational knowledge in industry have a great importance for both national and international competitiveness. In the developed countries, improving the job skills of th...
Reducing the Effect of Latency in a GSM (Cellular)Switching Network
End to end delay (Latency) determine the response time it will take for information to travel between the source and receiver, reducing the delay time will go a long way in improving the efficiency of the service in a GS...
Experimental Investigation of Impact of Hood Shape on Performance of a Baby Incubator
Millions of infants in the developing world die due to inadequate health facility. One of such facilities is incubator for preterm in neonatal intensive care unit. Even temperature and moisture distribution inside an inc...
Solution of the Linear and Non- Linear Schrodinger Equation Using Homotopy Perturbation Method and Variational Iteration Method
This paper applies, homotopy perturbation method (HPM) and Variational Iteration Method (VIM) are employed to solve the linear and nonlinear Schrodinger equations. To illustrate the capability and reliability of the meth...
Demonstration of the Lorenz Force in the Study of Physics
the article considersexperiments that demonstrate the Lorenz force in the process of studying physics.Describes in details thedemonstration device which shows rotation of an electrolyte with a flowing current when the el...