标题： 状态重新联合可维护性在人力规划半马尔可夫模型中的应用 显示英文标题

标题： State Re-union Maintainability for Semi-Markov Models in Manpower Planning

摘要： 在以前的研究中，强调了马尔可夫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（Bartholomew, 1967; Vassiliou and Tsantas, 1984a）。 半马尔可夫模型是马尔可夫模型的扩展，考虑了在状态中的停留时间。 对半马尔可夫模型的可维护性的研究关注较少。 尽管如此，对于非同质半马尔可夫模型，一些有趣的可维护性结果得到了（Vassiliou and Papadopoulou, 1992）。 本文重点研究离散时间同质半马尔可夫模型，并在此框架下探讨了总规模恒定或具有增长因子的系统中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（SR-可维护性）。 此外，我们证明了在某些条件下，与SR-可维护结构相关的基于资历的路径会收敛。 这使得可以表征SR-可维护结构的凸集。 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) (Bartholomew, 1967; Vassiliou and Tsantas, 1984a). 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 (Vassiliou and Papadopoulou, 1992). The current paper focuses on discrete-time homogeneous semi-Markov models, and explores the concept of maintainable population structures in this setting for a system with constant total size or one with a growth factor. In particular, a new concept of maintainability is introduced, the so called State Re-union maintainability (SR-maintainability). Moreover, we show that, under certain conditions, the seniority-based paths associated with the SR-maintainable structures converge. This allows to characterize the convex set of SR-maintainable structures.