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Control aspects in proportionality Markov manpower systems

机译：比例马尔可夫人力系统的控制方面

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摘要

In this paper, the control aspects of a hierarchical organization under the influence of "proportionality" policies are analyzed. Proportionality policies are those that restrict the recruitment to every level of the hierarchy (except the bottom most level or base level) to be in strict proportion to the promotions into that level. Both long term and short term control analysis have been discussed. In long term control the specific roles of the parameters of the system with regard to control of the shape and size of the system have been analyzed and yield suitable control strategies. In short term control, the attainability of a target or goal structure within a specific time from a given initial structure has been analyzed and yields the required recruitment strategies. The theoretical analyses have been illustrated with computational examples and also with real world data. The control of such proportionality systems is then compared with that of the general systems (which do not follow such policies) with some significant conclusions. The control relations of such proportionality systems are found to be simpler and more practically feasible than those of general Markov systems, which do not have such restrictions. Such proportionality systems thus not only retain and match the flexibility of general Markov systems but also have the added advantage of simpler and more practically feasible controls. The proportionality policies hence act as an alternative and more practicably feasible means of control.
机译：在本文中，分析了在“比例”策略影响下的层次组织的控制方面。比例政策是指将招聘限制在层次结构的每个级别（最底层或基础级别除外），以严格限制该级别的晋升。已经讨论了长期和短期控制分析。在长期控制中，已经分析了系统参数在控制系统形状和大小方面的特定作用，并得出了合适的控制策略。在短期控制中，已经分析了从给定的初始结构在特定时间内目标或目标结构的可达到性，并得出了所需的招募策略。理论分析已通过计算示例以及实际数据进行了说明。然后将这种比例系统的控制与一般系统（不遵循此类政策）的控制进行比较，得出一些重要结论。已经发现这种比例系统的控制关系比没有这种限制的普通马尔可夫系统更简单，并且在实践中更可行。因此，这样的比例系统不仅保持并匹配了通用马尔可夫系统的灵活性，而且还具有更简单，更实际可行的控制的额外优势。因此，比例政策可作为一种替代且更切实可行的控制手段。

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