【摘要】 研究了一类M/PH/2排队的队长的几种遍历性.对于M/PH/2排队系统,其队长L(t)不是一个马氏过程.虽然它的嵌入链是一马氏链,但对于l 遍历、几何遍历、多项式一致遍历和强遍历成立的条件却不能借助于它的嵌入链而得到.利用服务相位J(t),使得{L(t),J(t),t≥0}是一马氏链(且是一拟生灭过程).Neuts解决了{L(t),J(t),t≥0}的(普通)遍历性问题.本文给定了M/PH/2队长的l 遍历、几何遍历、多项式一致遍历和强遍历行之有效的判别准则.更多还原

【Abstract】 We studied the several types of ergodicity for M/PH/2 queue.For the M/PH/2 queueing system, the queue length L(t) is not a Markov process.But if we supplement a service phase J(t),｛L(t),J(t),t≥0｝ is a Markov process. We also gave a sufficient and necessary condition for l-ergodicity and geometric ergodicity of (L(t),J(t))　for M/PH/2 queue.Moreover, we proved that ｛L(t),J(t),t≥0｝ is not uniformly ergodic.更多还原