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A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods
Brunel Business School, Brunel University, London, UK
College of Information Technology, Ahlia University, Manama, Bahrain
Brunel Business School, Brunel University, London, UK
- 1 Brunel Business School, Brunel University, London, UK
- 2 College of Information Technology, Ahlia University, Manama, Bahrain
- 3 Brunel Business School, Brunel University, London, UK
American Journal of Operations Research·Volume 03 (2013)·Pages 570–580·Published 24 October 2013·DOI10.4236/ajor.2013.36054
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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 a re pre sented.
KeywordsTwo-Stage ServiceBatch ArrivalsBreakdownsRenegingSteady State Queue Size
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