On One Model of Multichannel Queuing System with Unreliable Repairable Servers and Input Memory

• 作者: Ramaz R. Shamugia
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 数学
• 关键词: MULTICHANNEL QUEUING Systems QS with Unreliable Facilities QS with REPAIRABLE Facilities Servers with FAILURES QS with QUEUES
• 年，卷（期）: 2014,（8）
• 页码范围: 279-285
• 页数: 7页
• 分类号: O1

摘要

The work deals with the development of analytical model of multichannel technical queuing system with unreliable servers and input memory where server failure flows and incoming request flows comply with Poissonian laws, while the flows of failed facilities repairs and flows of incoming requests comply with exponential laws of probability distribution. Random process of system change-over is a Markovian process with continuous time and discrete states. Relations binding basic parameters and output characteristics of the system indicated are obtained as probabilities of system staying in the given moment in one of the possible states. The proposed model is the most generalized compared to some models known in literature which could be considered as special cases of the considered model.