The MAP/PH(PH/PH)/1Discrete-time Queuing System with Repairable Server

Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (2): 59-63.

The MAP/PH(PH/PH)/1Discrete-time Queuing System with Repairable Server

西安交通大学理学院陕西西安710049

Received:2000-06-03 Online:2001-06-30 Published:2024-06-17
About author:YU Hai-bo（1965－）,male,native of Zhengzhou,Henan,Xi’an Jiaotong University,Ph．D．,engages in queueing theory and reliability．

Abstract

Abstract: 本文研究离散时间可修排队系统, 其中顾客的输入过程为离散马尔可夫到达过程(MAP), 服务台的寿命, 服务台对顾客的服务时间和修理时间均为离散位相型 (PH)变量. 首先我们考虑广义服务过程, 证明它是离散MAP, 然后运用阵阵几何解理论, 我们给出了系统的稳态队长分布和稳态等待时间分布, 同时给出了系统的稳态可用度这一可靠性指标 .

Key words: , 离散时间排队系统, 可靠性, 位相型分布, 马氏到达过程, 矩阵几何解,

CLC Number:

O226

YU Hai-bo, NIE Zan-kan, YANG Jian-wei. The MAP/PH(PH/PH)/1Discrete-time Queuing System with Repairable Server [J]. Chinese Quarterly Journal of Mathematics, 2001, 16(2): 59-63.

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The MAP/PH(PH/PH)/1Discrete-time Queuing System with Repairable Server

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