Introduction, analysis and asymptotic behavior of a multi-level manpower planning model in a continuous time setting under potential department contraction

Dimitriou V. A.; Georgiou A. C.

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Introduction, analysis and asymptotic behavior of a multi-level manpower planning model in a continuous time setting under potential department contraction

机译：多级人力规划模型在潜在部门收缩下连续时间设置中的介绍，分析和渐近行为

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A mathematical model in a multi-level manpower planning setting is developed and analyzed incorporating the divisions of an organization's personnel into several homogeneous groups. The proposed framework builds upon recent research to develop, via the continuous time scale, a departmental model encompassing employees flows within departments (intra-departmental transitions), as well as transfers among departments (inter-departmental transitions). Management-wise, this is a common practice under certain conditions as in restructuring and rightsizing ventures both in private industries and in the public sector. After establishing the baseline differential equations of the system, an investigation follows regarding the system's limiting behavior integrating the concept of department contraction which can be seen as an indirect and mild control that can be exercised on the manpower system. It is proved that under a set of conditions, the system's limiting structure exists and is specified. The aforementioned asymptotic analysis can be utilized to predict, in the long run, future stock structures of departments and thus, in the case where these structures diverge from the desired ones, identify departments that could be considered as candidates for probable rightsizing or mergers. The paper concludes with a numerical illustration and some concluding remarks.

机译：开发并分析了多级人力规划环境中的数学模型，将组织人员的部门纳入几个同类群体。拟议的框架在最近的研究中，通过连续时间规模开发，包括员工在部门内（部门内过渡）的流动，以及部门间（跨部门过渡）的转移。管理明智，这是在私营行业和公共部门的重组和赋予企业的某些条件下的常见做法。在建立系统的基线微分方程之后，关于系统限制行为的调查，整合了部门收缩概念，这可以被视为可以在人力系统上行使的间接和轻度控制。事实证明，在一系列条件下，系统的限制结构存在并指定。可以利用上述渐近分析来预测部门的未来未来结构，因此，在这些结构从所需的情况下偏离的情况下，识别可能被视为可能被认为的权利或合并的候选人的部门。本文与数值图和一些结论备注结束。

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来源
《Communications in Statistics》 |2021年第6期|1173-1199|共27页
作者
Dimitriou V. A.; Georgiou A. C.;
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作者单位

Aristotle Univ Thessaloniki Dept Math Thessaloniki Greece;

Univ Macedonia Dept Business Adm Quantitat Methods & Decis Analyt Lab 156 Egnatia St Thessaloniki 54636 Greece;

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正文语种 eng
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Manpower planning; multi-level Markov models; asymptotic behavior; department contraction;

机译：人力规划;多级马尔可夫模型;渐近行为;部门收缩;

Introduction, analysis and asymptotic behavior of a multi-level manpower planning model in a continuous time setting under potential department contraction

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