摘要
从一类具有一般分布的随机服务系统状态空间出发，定义了一种新的随机过 程──广义马尔柯夫更新过程：研究了这种随机过程的基本性质及分析方法；提出了 一种将广义马尔柯夫更新过程变换为马尔柯夫更新过程的有效状态重组方法──状态 分解合并法，并给出了一种讨论过程极限特性的状态频率法．最后，应用上述方法建 立了［ＭＩＧＩ１］：［ｎＩ∞ＩＦＣＦＳ］混合制排队系统的解析榨型。
This paper, proceeding from the state space cf a general stechastic service system with arbitrary distribution, defines a new stochastic process-gen- eralized Markov renewal process (GMRP), and studics some basic properties and analysis method on GMRP. An effective state reconfiguration method- state decomposition/aggregation technique-is proposed here for transmitting a GMRP into a MRP. A state frequency technique is also given for discuss- ing the limiting behavior of a GMRP. Finally, the sample analytical model of [MIGI1]: [nI∞IFCFS] queuing system is put forward.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1989年第5期503-510,共8页
Journal of Dalian University of Technology
关键词
随机过程
马氏更新过程
排队论
stochastic processes
Markov processes
queuing theory
