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

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DOI: 10.4236/ijcns.2014.78030    1,678 Downloads   2,224 Views   Citations

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Shamugia, R. (2014) On One Model of Multichannel Queuing System with Unreliable Repairable Servers and Input Memory. International Journal of Communications, Network and System Sciences, 7, 279-285. doi: 10.4236/ijcns.2014.78030.

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