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

A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods
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摘要 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. 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.
出处 《American Journal of Operations Research》 2013年第6期570-580,共11页 美国运筹学期刊(英文)
关键词 Two-Stage Service Batch Arrivals BREAKDOWNS RENEGING STEADY State QUEUE Size Two-Stage Service Batch Arrivals Breakdowns Reneging Steady State Queue Size
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