标题： 状态 reunite 可维护性对于半马尔可夫模型 显示英文标题

标题： State Reunion Maintainability for Semi-Markov Models

摘要： 在以前的研究中，强调了马尔可夫模型和半马尔可夫模型在人力规划中的重要性。 对于不同类型的人员策略（即通过晋升控制和通过招聘控制），对各种类型的马尔可夫模型（同质的以及非同质的）的人口结构的可维护性进行了广泛研究。 半马尔可夫模型是马尔可夫模型的扩展，它考虑了在状态中的停留时间。 对于半马尔可夫模型的可维护性的研究关注较少。 尽管如此，一些有趣的可维护性结果已经获得对于非同质的半马尔可夫模型。 本文专注于离散时间同质半马尔可夫模型，并在此背景下探讨可维护人口结构的概念。 特别是，引入了一个新的可维护性概念，即所谓的状态重聚可维护性。 研究表明，这种可维护性概念与非同质马尔可夫链的可维护性密切相关。 显示英文摘要

摘要： In previous research the importance of both Markov and semi-Markov models in manpower planning is highlighted. Maintainability of population structures for different types of personnel strategies (i.e. under control by promotion and control by recruitment) were extensively investigated for various types of Markov models (homogeneous as well as non-homogeneous). Semi-Markov models are extensions of Markov models that account for duration of stay in the states. Less attention is paid to the study of maintainability for semi-Markov models. Although, some interesting maintainability results were obtained for non-homogeneous semi-Markov models. The current paper focuses on discrete-time homogeneous semi-Markov models, and explores the concept of maintainable population structures in this setting. In particular, a new concept of maintainability is introduced, the so-called State Reunion maintainability. It is shown that this concept of maintainability is closely related to maintainability for non-homogeneous Markov chains.