The Transient and Equilibrium Distributions of the Queue-Length for M/G/1 Queue with Delayed N-Policy
延迟N-策略M/G/1排队系统队长的瞬态和稳态分布

This paper considers the M/G/1 queue with delayed N-policy and studies the transient and equilibrium properties of the queue length.By introducing the server busy period and using the total probability decomposition technique,the recursion expression of the L-transformation of the transient queue-length distribution at any time t,and also the expressions of the distribution and stochastic decomposition of the queue length at a random point in equilibrium are obtained.