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带有服务台故障和两阶段服务的休假排队系统

曾慧 岳德权

辽宁工程技术大学学报(自然科学版)2011,Vol.30Issue(6):930-934,5.
辽宁工程技术大学学报(自然科学版)2011,Vol.30Issue(6):930-934,5.DOI:21-1379/N.20111211.2113.022

带有服务台故障和两阶段服务的休假排队系统

Two-phases-service queuing system with server breakdown and vacations

曾慧 1岳德权1

作者信息

  • 1. 燕山大学理学院,秦皇岛 066004
  • 折叠

摘要

Abstract

In order to solve the vacation queue problems with a two-phase of service in real-life production, the equations of steady-state probability were derived by applying the Markov process theory in this study. Subsequently, the matrix form solution of steady-state probability was found by using block matrix method. Furthermore, some performance measures of the system, such as the expected number of customers in the system and the expected number of customers in the queue, were also obtained. The study on the queuing systems with two-phase of service is of theoretical significance and application value.

关键词

两阶段服务/服务台故障/多重休假/稳态概率/分块矩阵解法/排队系统/休假排队/马尔可夫讨程

Key words

two phases of service/server breakdown/multiple vacations/steady-state probability/block matrix method/queuing system/vacation queue/Markov process

分类

数理科学

引用本文复制引用

曾慧,岳德权..带有服务台故障和两阶段服务的休假排队系统[J].辽宁工程技术大学学报(自然科学版),2011,30(6):930-934,5.

基金项目

国家自然科学基金资助项目(71071133) (71071133)

辽宁工程技术大学学报(自然科学版)

OA北大核心CSTPCD

1008-0562

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