Abstract
Abstract A Markovian queuing system is used to model a Two Phase Service (TPS) system. In this system, there are two queues, batch queue and individual queue, and a central server switching service between them. Expressions of mean task response time in the TPS are derived from the Markov‐Chain concept and the Z‐transform technique. Other performance parameters, such as the concept of power and speedup, and the optimization issues have also been taken into consideration. The relation between the TPS system and the other queuing system is compared and described. Furthermore, the performance improvement issue is investigated and the speedup upper bound is obtained. Finally, numerical results are provided to verify the analytical model.
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