ПОЛУМАРКОВСКАЯ МОДЕЛЬ ТЕЛЕКОММУНИКАЦИОННОЙ СЕТИ С ДИНАМИЧЕСКИМ УПРАВЛЕНИЕМ

Abstract

The paper proposes a semi-Markov model of telecommunication network. The variant of dynamictraffic 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 theincoming flow of information (packets). This takes into account the different bandwidth of thechannels, the processing speed of information in the channel and the information capacity of thebuffers. 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 ofa telecommunication network is considered on the example of a simple single-channel structure ofthe “point-to-point” type, which is modeled as a linear unidirectional Markov chain. The parametersof the service tariff, the cost of the fine for refusal of service were introduced. The analysisallows us to make the following remarks that the distribution of the input information flow ofpackets is Poisson, the law of distribution of the length of packets and the speed of their arrival isexponential, which together characterizes the Markov process. However, there are concurrentservice delays relative to the timing of service requests, including buffer overflow delays. The proposedsemi-Markov model of a telecommunications network can be used for more complex networkstructures. In particular, for a telecommunication network, consisting not only of one singlechannelinformation transmission system (single-channel queuing system), but representing a setof several systems, that is, for multichannel telecommunication networks.