标题： 非抢占式两级优先级队列的队列长度分布的显式结果 显示英文标题

标题： Explicit Results for the Distributions of Queue Lengths for a Non-Preemptive Two-Level Priority Queue

摘要： 显式结果是通过简单和精确的方法推导出来的，用于具有两个非抢占优先级的M/M/c队列的联合和边缘队列长度分布。假设服务速率相等。考虑了两种方法。一种基于数值稳健的二次递推关系。另一种基于复数围道积分表示，该表示给出了以前文献中未出现的精确闭式解析表达式，这些表达式也可以以非常高的精度进行数值计算。 显示英文摘要

摘要： Explicit results are derived using simple and exact methods for the joint and marginal queue-length distributions for the M/M/c queue with two non-preemptive priority levels. Equal service rates are assumed. Two approaches are considered. One is based on numerically robust quadratic recurrence relations. The other is based on a complex contour-integral representation that yields exact closed-form analytical expressions, not hitherto available in the literature, that can also be evaluated numerically with very high accuracy.