International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064




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Research Paper | Mathematics | India | Volume 5 Issue 1, January 2016 | Rating: 6.4 / 10


An Analysis of Queueing Model with a Multiple System Governed by a Quasi-Birth Death Process and PH Service and PH Repair

M. Reni Sagaya Raj | B. Chandrasekar [2]


Abstract: In this paper we study the multiple systems of repair problem and present N-system with one working and the other systems are in repair, in standby or waiting repair. When the working system can fails it goes to repair and instantaneously a standby system becomes the working one. Standby system stands to system when the original system is on under repair. The systems are repair following the arrival order. We let the time between service and repair times have phase-type distribution. The working system has a life time governed by a phase-type distribution. We show the process that governs the system is a quasi-birth and death process, we perform steady state analysis of this model. A numerical example is presented and the expressions calculated through the paper are computationally implemented using the Matlab programme


Keywords: Repairman problem, Phase-type distribution, Quasi-Birth and death process, Matrix Geometric Method, Conditional probability of failure, Stationary distribution


Edition: Volume 5 Issue 1, January 2016,


Pages: 1986 - 1990



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