Queues under stochastic priority switching
研究了M/M/c排队系统中优先级动态随机切换的模型,通过仿真和马尔可夫链分析系统行为,并应用于外科内窥镜等待队列的参数拟合。
In this paper a generalised model of dynamic and stochastic changing priorities within an M/M/c queue is presented. Simulation and Markov chain models are given that describe the behaviour of such systems, and their stationarity is explored. Bounded approximations of the Markov models are given, and measures of their accuracy in approximating the infinite versions given. Finally the models are used to model a waiting list for surgical endoscopy with unknown service disciplines, fitting system parameters to reflect the queue behaviour. An exploration of behaviour under different class change parameters is given for a better understanding of the system.