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Cost analysis of Two- phase M/EK/1 Queueing System with Server Dormant, Start up and Break downs

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  • V. N. Rama Devi

Abstract

This paper investigates an optimum strategy of two-phase M/EK/1 queueing system with server dormant, start up and breakdowns. The server first starts batch service where the customers arrive according to Poisson process and in second-phase it gives individual service. Each individual will be given K number of phase wise service. The server is turned off each time the system empties. When the queue length reaches or exceeds M, the server will be in dormant state and when it reaches to N or more than N batch service starts. During both batch as well as individual services the server may breakdown at any time according to a Poisson process and repair will be immediately done. Explicit expressions for the steady state distribution of the number of customers in the system are obtained and also derived various system measures.

Suggested Citation

  • V. N. Rama Devi, 2017. "Cost analysis of Two- phase M/EK/1 Queueing System with Server Dormant, Start up and Break downs," International Journal of Scientific Research in Computer Science, Engineering and Information Technology, International Journal of Scientific Research in Computer Science, Engineering and Information Technology, vol. 2(2), pages 1183-1194, March.
    • Handle: RePEc:jbh:ijsrcs:v2:y2017:i2:id:hcseit1722483
    Note: Article URL: https://ijsrcseit.com/CSEIT1722483
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