| 多服务台服务同一顾客的M/M/m+k/N可修排队系统 |
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| 引用本文： | 师宗梅,吕胜利,袁晶晶.多服务台服务同一顾客的M/M/m+k/N可修排队系统[J].数学的实践与认识,2017(9):136-143. |
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| 作者姓名： | 师宗梅 吕胜利 袁晶晶 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金(71071133)，河北省自然科学基金(G2012203136) |
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| 摘 要： | 研究带有备用服务台的可修排队系统,假设多个服务台可同时服务同一顾客,利用马尔可夫过程理论建立了系统稳态方程组,然后利用分块矩阵的解法求出系统稳态概率的矩阵解,在此基础上建立系统的费用模型,并利用Matlab软件进行数值实例分析.
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| 关 键 词： | 备用服务台 可修系统 马尔可夫过程 费用模型 |
The M/M/m + k/N Repairable Queuing System with One Customer Served by Multiple Servers |
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| SHI Zong-mei,LV Sheng-li,YUAN Jing-jing.The M/M/m + k/N Repairable Queuing System with One Customer Served by Multiple Servers[J].Mathematics in Practice and Theory,2017(9):136-143. |
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| Authors: | SHI Zong-mei LV Sheng-li YUAN Jing-jing |
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| Abstract: | In the paper,we consider the repairable system with spare servers,assuming that a customer may be served by multiple servers at a time.We can obtain the steady state probability equations by the Markov process method,then we derive the steady-state probability in matric solution theory.In addition,we develop a cost model on the basic of the system,and we make numerical analysis by using Matlab software. |
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| Keywords: | spare servers repairable system Markov process cost model |
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