论文标题

用于排队和其他模型的准平台分布

Quasi-stationary distributions for queueing and other models

论文作者

Pollett, Phil.

论文摘要

本说明提出了对多项式/代数/子指数收敛的猜想,以$λ$ - null复发和$λ$ - $λ$ - 连续时间的传播马尔可夫链。唯一已知的积极示例是排队,分支和相关模型。讨论了对$λ$ - 频率链的限制条件分布的影响。

This note presents conjectures on polynomial/algebraic/sub-exponential convergence of transition probabilities for $λ$-null recurrent and $λ$-transient Markov chains in continuous time. The only known positive examples are in queueing, branching, and related models. Implications for the existence of limiting conditional distributions for $λ$-transient chains are discussed.

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