SEMI-MARKOV MODEL OF TELECOMMUNICATION NETWORK WITH DYNAMIC CONTROL

Abstract

The paper proposes a semi-Markov model of telecommunication network. The variant of dynamic traffic control of queuing system as a special case of telecommunication network is considered. The main purpose of control is to minimize the average cost per unit of time to service the incoming flow of information (packets). This takes into account the different bandwidth of the channels, the processing speed of information in the channel and the information capacity of the buffers. The approach to the organization of dynamic control taking into account noise immunity (information reliability) and information security is discussed. The problem of dynamic control of a telecommunication network is considered on the example of a simple single-channel structure of the “point-to-point” type, which is modeled as a linear unidirectional Markov chain. The parameters of the service tariff, the cost of the fine for refusal of service were introduced. The analysis allows us to make the following remarks that the distribution of the input information flow of packets is Poisson, the law of distribution of the length of packets and the speed of their arrival is exponential, which together characterizes the Markov process. However, there are concurrent service delays relative to the timing of service requests, including buffer overflow delays. The proposed semi-Markov model of a telecommunications network can be used for more complex network structures. In particular, for a telecommunication network, consisting not only of one singlechannel information transmission system (single-channel queuing system), but representing a set of several systems, that is, for multichannel telecommunication networks.