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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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For a $K$-stage cyclic queueing model with $N$ customers and general service times we give an explicit expression for the $n^{rm th}$ departure time from each queue. Starting from this expression we analyze the asymptotic tail behavior of cycle times and waiting times given that at least one service time distribution is subexponential. Further, we show that the tail of the residual of a subexponential service time seen by an arriving customer is of the same order as the service time itself, where the asymptotic constant depends on the queue length on arrival.
