Modelling recruitment training in mathematical human resource planning

Abstract

SUMMARYThis paper deals with mathematical human resource planning; more specifically, it suggests a new model for a manpower-planning system. In general, we study a k-classed hierarchical system where the workforce demand at each time period is satisfied through internal mobility and recruitment. The motivation for this work is based on various European Union incentives, which promote regional or local government assistance programs that could be exploited by firms not only for hiring and training newcomers, but also to improve the skills and knowledge of their existing personnel. In this respect, in our augmented mobility model we establish a new 'training/standby' class, which serves as a manpower inventory position for potential recruits. This class, which may very well be internal or external to the system, is incorporated into the framework of a non-homogeneous Markov chain model. Furthermore, cost objectives are employed using the goal-programming approach, under different operating assumptions, in order to minimize the operational cost in the presence of system's constraints and regulations.

Modeling mixed push and pull promotion flows in Manpower Planning

“…This 'pull' effect however is restricted to transitions from the trainee class to the active classes, while the mixed push-pull model is in this paper allows pull as well as push promotions between all classes in the model. Moreover, the vacancies in the model of Georgiou and Tsantas (2002) are not calculated and filled as common in the classical pull approach. Because it is convenient from a mathematical point of view, like most research in Manpower Planning, their discussion is restricted to an embedded Markov chain model, implying that the total number of individuals in the system is fixed or at least known (see also e.g.…”

“…Georgiou and Tsantas (2002) use this push model to build an extended model. They include a trainee class into the model, next to (what they call) the active classes.…”

“…This means that there does not, as in the pull models, exist a desired number of employees in every group, but a desired number of employees in the whole system. The model of Georgiou and Tsantas (2002) assumes that the needed size of the active classes as a whole is known. Once the size at the active level of the system is smaller than the desired size, vacancies arise.…”

A Markov Model for Human Resources Supply Forecast Dividing the HR System into Subgroups

“…Another idea was presented by Georgiou and Tsantas [11] who have enriched the framework NHMS with an external state next to the original class/internal (active), it is the Augmented Mobility Model (AMM).…”

The augmented semi‐Markov system and its asymptotic behaviour

“…In order to construct this model, we insert new classes in the classical NHSMS [11]. These new classes, called training classes [23], represent the company's policy to train its existing personnel so as to acquire knowledge and skills which are necessary for a smooth promotion. The main reason that led us to this generalization was the European Union's tendency to fund training projects that induce lifelong education.…”