This paper addresses the determination of personnel promotion policies in public Higher Education Institutions (HEI) considering aspects such as worker's promotion rules, hiring and laying off, workforce diversity and budget constraints. The problem is formulated as a Mixed Integer Linear Program. The objective of the proposed optimization model is not only expressed in economic terms but also addressing the achievement of a preferable staff composition and service level. The model is formulated generally, hence it can be useful for different types of universities taken into account their specificities and characteristics. Specifically, this paper addresses the problem of finding the relationship between economic resources for workers'promotion and the pursued preferable staff composition. The model is applied to a real case, in which several analyses are performed under different scenarios characterized by possible trends in the available budget and the demand. The analyses are for different workforce structures, which reflect different academic and personnel policies. The results address the performance of the proposed model in achieving the preferable structure and also on how promotions --and associated expenditures--, are for young researchers and experienced personnel according to each considered scenario.

中文翻译：

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确定HEI中的人员晋升政策

本文讨论了公立高等教育机构（HEI）的人员晋升政策的确定，其中考虑了诸如工人晋升规则，雇用和裁员，劳动力多样性和预算限制等方面。该问题被公式化为混合整数线性程序。所提出的优化模型的目标不仅以经济术语表示，而且还解决了实现更好的人员组成和服务水平的问题。该模型通常是公式化的，因此考虑到它们的特殊性和特点，它可以对不同类型的大学有用。具体而言，本文解决了寻找促进员工的经济资源与追求的员工组成之间的关系的问题。该模型适用于实际情况，其中在不同情况下进行了一些分析，这些分析以可用预算和需求的可能趋势为特征。分析针对的是不同的劳动力结构，反映了不同的学术和人事政策。结果研究了所提出的模型在实现最佳结构方面的性能，以及针对每种研究情况针对年轻研究人员和经验丰富的人员的晋升以及相关支出的方式。