Optimal Control Policy for State Dependent Queueing Model with Service Interruption, Setup and Vacations

Authors

  • Madhu Jain Department of Mathematics, Indian Institute of Technology, Roorkee 247667, India
  • Deepa Chauhan Department of Mathematics, Allenhouse Institute of Technology, Kanpur 208007, India

DOI:

https://doi.org/10.26713/jims.v2i2%20&%203.36

Keywords:

N-policy, Markovian queue vacations, Breakdown, Setup time

Abstract

Present investigation deals with optimal management policy for Markovian queue with server breakdowns, vacations and setup. The customers arrive in Poisson fashion to get the service. The server may breakdown during the service and goes for repair immediately. By applying probability generating function technique queue length distribution is obtain for different states of the server. Further we determine the probability of empty system, expected number of units in the system, total expected cost function etc. Cost analysis has also been done. To validate analytic results, numerical experiment has been performed.

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CITATION

How to Cite

Jain, M., & Chauhan, D. (2010). Optimal Control Policy for State Dependent Queueing Model with Service Interruption, Setup and Vacations. Journal of Informatics and Mathematical Sciences, 2(2 & 3), 171–181. https://doi.org/10.26713/jims.v2i2 & 3.36

Issue

Vol. 2 No. 2 & 3 (2010)

Section

Research Articles

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