A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods

DOI: 10.4236/ajor.2013.36054   PDF   HTML     3,995 Downloads   6,753 Views   Citations


We study a two stage queuing model where the server provides two stages of service one by one in succession. We consider reneging to occur when the server is unavailable during the system breakdown or vacation periods. We concentrate on deriving the steady state solutions by using supplementary variable technique and calculate the mean queue length and mean waiting time. Further some special cases are also discussed and numerical examples are presented.

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M. Baruah, K. Madan and T. Eldabi, "A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods," American Journal of Operations Research, Vol. 3 No. 6, 2013, pp. 570-580. doi: 10.4236/ajor.2013.36054.

Conflicts of Interest

The authors declare no conflicts of interest.


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