Tandem Open Queuing Network System Analysis

Two kinds of N-node tandem open queueing network system with exponential distribution are analyzed in this paper . The generater matrixes of Markov process are given in recurrence formulate.Seperately, the solution of the system stability,the stationary combinable distribution of each node queue length and the busy time distribution is obtained by means of matrix analysis in the second mo del. Moreover we gave out the Matlab program for sloving the system stability solution . The sufficient-necessity condition for the system stability and the distribution of stationary queue length are obtained by means of matrix analysis in the third model. Since the operation of matrix and recursion are easy to perform on computers, The conclusions of this paper can be conveniently applied.