Queueing System With Priority Bandwidth Sharing Discipline for V2X Technology

This paper presents a queueing system as a model for a cell in a cellular communication system. The number of channels servicing a call corresponds to the frequency range used by the transmitted message. A queueing network is also considered, and may be regarded as a packet-switched data network. The developed approach may be used to analyze the response characteristics for wireless communications systems. The probability that a call delivery time exceeds a prescribed value may be associated to the chance of missing the transmission contract over the Internet or optical channel. A multi-channel queueing system with a priority Bandwidths sharing discipline is considered. Calls of several priority classes arrive at the system according to a Poisson process. The number of channels servicing a call and the service time distribution depends on the priority class of the call. The channels may also fail, and are recovered simultaneously. The channels uptime is distributed exponentially. The channels recovery time distribution is general. An approach has been developed to compute the response time for a call of prescribed priority. A queueing network is studied such that the nodes of this network are queueing systems of the considered type. An approach is proposed to compute the probability that the prescribed priority call sojourn time is less than a prescribed value. The developed approach may be used to analyze the response characteristics of wireless communications systems. The number of channels servicing a call corresponds to the frequency range used by the transmitted message.