多重休假的Bernoulli反馈M／G／1排队系统的稳态存在条件

Existent condition of steady distribution of M/G/1 queue with Bernoulli feedback and multiple vacations

休假排队是经典排队理论的延伸和发展,并已发展成为一个有独立特色的研究方向,形成了以随机分解为核心的基本理论框架。本文系统地研究了多重休假的Bernoulli反馈MG／1排队模型,这是一类新服务机制的休假排队系统。本文给出了此排队模型的稳态存在的条件。

Vacation queue is the expansion and development of the classic queuing theory and it had been developed into a study direction with distinguishing features, and formed a basic theoretical framework, whose core was stochastic decomposition. In this paper, M/G/1 queue with Bernoulli feedback and multiple vacations is studied, which is a complete new vacation queuing model, The existent condition of the steady distribution of this queueing system is also derived.