Modeling mixed push and pull promotion flows in Manpower Planning

Abstract Manpower Planning is a useful tool for human resource management in large organizations. Classical Manpower Planning models are analytical time-discrete push and pull models. Push models are characterized by the same promotion and wastage probabilities for people within the same group. This assumption is suitable in organizations where for instance promotions are used for reasons of personnel motivation or employees are promoted after succeeding in an exam. In many organizations, people are only promoted when there are vacancies at other levels. In those cases, pull models can be used. Pull models only assume known wastage probabilities. In practice, both assumptions may occur simultaneously. In this paper, a mixed push-pull model is developed for organizations in which both types of flows are considered.

[1]  David J. Bartholomew,et al.  Statistical Techniques for Manpower Planning , 1980 .

[2]  Sally McClean,et al.  Estimation for Semi-Markov Manpower Models in a Stochastic Environment , 1999 .

[3]  V. S. S. Yadavalli,et al.  TIME DEPENDENT BEHAVIOR OF STOCHASTIC MODELS OF MANPOWER SYSTEM—IMPACT OF PRESSURE ON PROMOTION , 2002 .

[4]  D. J. Bartholomew.  Maintaining a grade or age structure in a stochastic environment , 1977 .

[5]  Charles R. MacCluer,et al.  The Many Proofs and Applications of Perron's Theorem , 2000, SIAM Rev..

[6]  F. R. Gantmakher.  The Theory of Matrices , 1984 .

[7]  Marie-Anne Guerry.  Using fuzzy sets in manpower planning , 1999 .

[8]  Wayne Brockbank,et al.  IF HR WERE REALLY STRATEGICALLY PROACTIVE: PRESENT AND FUTURE DIRECTIONS IN HR'S CONTRIBUTION TO COMPETITIVE ADVANTAGE , 1999 .

[9]  N. Tsantas,et al.  Partial maintainability of a population model in a stochastic environment , 1997 .

[10]  Gerald R. Ferris,et al.  Promotion Systems in Organizations , 1992 .

[11]  Plamen Koev,et al.  Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices , 2005, SIAM J. Matrix Anal. Appl..

[12]  N. Tsantas,et al.  Modelling recruitment training in mathematical human resource planning , 2002 .

[13]  Brian J. Parker,et al.  Holonic modelling: human resource planning and the two faces of Janus , 1996 .

[14]  Phillip A. Pfeiffer,et al.  Time-Dependent Behavior , 1993 .

[15]  Eugene Seneta,et al.  Non‐Negative Matrices , 1975 .

[16]  P.-C. G. Vassiliou,et al.  Cost models in nonhomogeneous Markov systems , 1997, Eur. J. Oper. Res..

[17]  Nikolas Tsantas.  Ergodic behavior of a Markov chain model in a stochastic environment , 2001, Math. Methods Oper. Res..

[18]  A. R. Smith,et al.  Manpower Planning in the United Kingdom: An Historical Review , 1988 .

[19]  Roel Popping,et al.  Generating job mobility patterns , 2001 .

[20]  Sally McClean,et al.  Manpower planning models and their estimation , 1991 .

[21]  V. S. S. Yadavalli,et al.  A semi-Markov model of a manpower system , 2001 .

[22]  Alexander Verbraeck,et al.  Manpower forecasting: a discrete-event object-oriented simulation approach , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[23]  R. Popping,et al.  Generating job mobility patterns: using simulation techniques for the explanation of employees' organizational careers , 2001 .

[24]  Yoshio Kimura,et al.  Introduction to mathematical economics , 1978 .

[25]  L. Mirsky,et al.  The Theory of Matrices , 1961, The Mathematical Gazette.

[26]  Peter Lancaster,et al.  The theory of matrices , 1969 .

[27]  Tim De Feyter.  Modelling heterogeneity in manpower planning: dividing the personnel system into more homogeneous subgroups: Research Articles , 2006 .