Time-Dependent Solution of the Head-Of-The-Line Priority Queue
队首优先排队系统的时变解
SUMMARY The method of supplementary variables has been used to obtain the Laplace transform of the time-dependent probabilities in a head-of-the-line priority queue characterized by Poisson arrivals and general service-time distributions. An explicit solution has, however, been obtained under exponential service-time distributions with equal mean rates. The queue length probabilities, under steady-state conditions, have been evaluated and are found to be different from those…