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THE QUEUEING SYSTEM Mx/M/c→/PHr/1/K
被引：0
|作者：
徐光辉
袁学明
机构：
[1] Academia Sinica
[2] Beijing 100080
[3] Institute of Applied Mathematics
来源：
基金：
中国国家自然科学基金;
关键词：
Two-stage Tandem Queueing System;
Stage- I Service Blocked Time;
The First-class Batch Waiting Time;
The Second-class Batch Waiting Time;
Batch Sojourn Time;
D O I：
10.13299/j.cnki.amjcu.000448
中图分类号：
学科分类号：
摘要：
The two-stage tandem queueing system M(z)/M/c→/PH(r)/1/K is studied in this paper. Customers arrive at stage-Ⅰ system in batches according to a Poisson process, and the size of the batch, x , is a r. v. within a range of a finite number of positive integers. The stage- Ⅱ ststem has finite capacity, where customers are served in batches with a PH-distribution and the size of the batch is a positive integer r. Only after served in stage- Ⅰ system, and then served in stage- Ⅱ system, can the customers depart from the whole system. Several definitions such as the stage- Ⅰ service blocked time, the first-class and the second-class batch waiting times, and the batch sojourn time are introduced, and their distributions are obtained respectively.
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页码：422 / 432
页数：11
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