论文信息 - The SM/M/N queueing system with broadcasting service

The SM/M/N queueing system with broadcasting service

We consider a multiserver queueing model with the semi-Markovian arrival process and exponential service time distribution. Novel customers admission discipline is under study. The customer, which sees several free servers upon arrival, is served simultaneously by all these servers. Such situation occurs, for example, in modeling wireless communication network with broadcasting. Systems with infinite buffer and with losses are investigated. Stationary distributions of a queue, waiting and sojourn times, and the main performance measures are calculated.

[1] A. V. Pechinkin,et al. An SM2/MSP/n/r System with Random-Service Discipline and a Common Buffer , 2003 .

[2] Marcel F. Neuts,et al. Matrix-Geometric Solutions in Stochastic Models , 1981 .

[3] Hideaki Takagi,et al. Multiserver queue with semi-Markovian batch arrivals with application to the MPEG frame sequence , 2002, SPIE ITCom.

[4] Marcel F. Neuts,et al. Matrix-geometric solutions in stochastic models - an algorithmic approach , 1982 .

[5] Chang-Joo Kim,et al. Multi-Server Queueing Model with Broadcasting Service , 2007, IEEE Communications Letters.

[6] A. V. Pechinknin,et al. Stationary Characteristics of the SM/MSP/n/r Queuing System , 2004 .

[7] Hideaki Takagi,et al. Multiserver queue with semi-Markovian batch arrivals , 2004, Comput. Commun..

[8] L. Breuer. Introduction to Stochastic Processes , 2022, Statistical Methods for Climate Scientists.