TITLE:
A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods
AUTHORS:
Monita Baruah, Kailash C. Madan, Tillal Eldabi
KEYWORDS:
Two-Stage Service; Batch Arrivals; Breakdowns; Reneging; Steady State Queue Size
JOURNAL NAME:
American Journal of Operations Research,
Vol.3 No.6,
November
27,
2013
ABSTRACT: 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.