THE GI/M/1 QUEUEING SYSTEM WITH SINGLE EXPONENTIAL VACATION
单重指数休假的 GI/M/1排队系统

In this paper,a detailed analysis of the G(?)/M/(?) queueing system with exhaustive serviceand single exponential vacation is given.The transition matrix of the imbedded Markovchain is expressed in a block-Jacobi form and a matrix-geometric solution is presented.Thedistribution of the queue length in the stable state is derived and is shown to decompose intothe distribution of the sum of three independent variables.In addition,the distribution andrandom decomposition of the waiting time is discussed.