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Semi-Markovian Model of Two-Line Queuing System with Losses 被引量:2

Semi-Markovian Model of Two-Line Queuing System with Losses
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摘要 In the present paper, to build model of two-line queuing system with losses GI/G/2/0, the approach introduced by V.S. Korolyuk and A.F. Turbin, is used. It is based on application of the theory of semi-Markov processes with arbitrary phase space of states. This approach allows us to omit some restrictions. The stationary characteristics of the system have been defined, assuming that the incoming flow of requests and their service times have distributions of general form. The particular cases of the system were considered. The used approach can be useful for modeling systems of various purposes. In the present paper, to build model of two-line queuing system with losses GI/G/2/0, the approach introduced by V.S. Korolyuk and A.F. Turbin, is used. It is based on application of the theory of semi-Markov processes with arbitrary phase space of states. This approach allows us to omit some restrictions. The stationary characteristics of the system have been defined, assuming that the incoming flow of requests and their service times have distributions of general form. The particular cases of the system were considered. The used approach can be useful for modeling systems of various purposes.
作者 Yuriy E. Obzherin Yuriy E. Obzherin(Department of Higher Mathematics, Sevastopol State University, University STR, Sevastopol, Russian Federation)
出处 《Intelligent Information Management》 2016年第2期17-26,共10页 智能信息管理(英文)
关键词 Two-Line Queuing System with Losses Semi-Markov Process Stationary Distribution of Embedded Markov Chain Stationary Characteristics of System Two-Line Queuing System with Losses Semi-Markov Process Stationary Distribution of Embedded Markov Chain Stationary Characteristics of System
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