Batch arrival Poisson queue with breakdown and repairs

Balasubramanian Sundar Rajan, V. Ganesan and Samikannu Rita

International Journal of Mathematics in Operational Research, 2020, vol. 17, issue 3, 424-435

Abstract: This paper considers a single server bulk arrival queuing system in which the services performed in two different stages. The server must provide the two services simultaneously. The server may opt for vacation at the end of each second stage service of the unit. The system is subjected to repair due to random breakdown and the system demands two types of repairs. When the service of any unit interrupted due to breakdown, it goes back to the head of the queue. The processes used in this system are distributed according to some designed statistical distributions. The expected number of units in the system has been obtained.

Keywords: bulk arrival; breakdown; vacation; repairs; mean queue size. (search for similar items in EconPapers)
Date: 2020
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