A Queueing System with a Setup Time for Switching of the Service Distribution
نویسندگان
چکیده
A bstract A controlled M /G /1 type queueing system with a setup time for switching of the service distribution is considered. At first, customers are served by a regular service time. When the number of customers in the system exceeds rn, the service time is switched to a high speed service time with a setup time. High speed services continue until the end of the busy period. We propose a simple algorithm for the calculation of the mean number of customers in the system by usin.g a normalizing condition and a boundary condition. Moreover, explicit formulas of the probability mass function are derived when the regular service distribution is exponential or constant.
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تاریخ انتشار 2009