带启动期的GI/G/1排队的瞬时分布

The transient distribution of GI/G/1 queuing with setup period

研究了带启动期的GI/G/1排队,利用马尔可夫骨架过程法得到系统队长{L(t),θ1(t),θ2(t)}的瞬时分布所满足的方程,并证明了它的概率分布是一线性方程的唯一最小非负解.

The GI/G/1 queuing system with setup period was studied. The equation to meet the transient distribution of queue length {L（t）,θ1（t）,θ2（t）} was obtained by applying the approach of Markov skeleton process. It was proved that the transient distribution of queue length is the minimal nonnegative solution and also the unique bounded solution to a nonnegative linear equation.