A direct approach to sojourn times in a busy period of an M/M/1 queue

被引：0

作者：

Arzad A. Kherani

机构：

[1] Indian Institute of Technology Delhi,Dept. of Computer Science and Engineering

来源：

Queueing Systems | 2006年 / 53卷

关键词：

M/M/1 queue; Busy period; Catalan number;

D O I：

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中图分类号：

学科分类号：

摘要：

In this paper we present a direct approach to obtaining joint distributions of various quantities of interest in a busy period in an M/M/1 queue. These quantities are: the sojourn times and waiting times of all the customers in the busy period, the busy period length and the number of customers served in a busy period. Since the evolution of the total workload process between two successive customer arrivals is deterministic, this work gives statistic of the complete evolution of the workload process within a busy period.

引用

页码：159 / 169

页数：10