附有选择性服务与无等待能力的M/G/1排队系统稳定性分析

The Stability Analysis of a M/G/1 Queueing System with Additional Service and No Waiting Capacity

本文用积分方程理论给出了附有选择性服务与无等待能力的M/G/ 1排队系统动态非负解的存在惟一性证明 .进一步在服务率为定常的情况下 ,得到系统的稳态解 。

In this paper,we study the asymptotic behavior of a M/G/1 queueing system with additional service and no waiting capacity,we prove by integration equations theory that there exists a uniqua non_negative solution of the system.We show that there existes a stead steate of the system under condition that the serve rates are constants,and further prove that the dynamic solution of the system converges the stead state of the system.