Analysis of Markovian queue model with unreliable service station and a vacation after fixed services

Alka Choudhary and D.C. Sharma

International Journal of Mathematics in Operational Research, 2022, vol. 21, issue 3, 411-428

Abstract: In this study, we have investigated a Markovian queue system with infinite capacity with a single service station which is unreliable. A vacation has been introduced in which service station takes vacation after some fixed services. In this paper, service station has decreasing service rate because of continuous service and service station takes vacation after each fixed services. To calculate the system performance measures, we figured out the steady state equations and solved these equations using matrix geometric method. Condition on parameters is also defined for which the system is stable. Cost function is constructed and sensitivity analysis is done.

Keywords: Markovian queue; unreliable server; fixed services; working vacation; cost analysis. (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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