由于客人入住是一个随机过程，难以用准确的分布函数来描述，但作出某些合理的假设后，可将其变为平稳随机过程。

The registration of guest is in a random, it is difficult to describe by accurate distributed function, but it can be changed to stationary random process after making some rational assumption.

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考虑在可数背景状态下，时间离散的拟生灭过程(QBD过程)平稳分布的尾概率的渐近态。

We consider asymptotic behaviors of stationary tail probabilities in the discrete time quasi-birth-and-death (QBD) process with a countable background state space.

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模拟结果表明，该浇注系统填充过程平稳，温度场分布均匀，所得压铸件气体夹杂和冷隔缺陷少，整体质量较高。

Simulated results show that obtained parts has few defects, such as inclusion and cold shut due to smooth mold filling and uniform distribution of temperature field.

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