A proportionality model of Markov manpower systems

Purpose – The purpose of this paper is to construct a model of hierarchical manpower systems which follow proportionality policies in recruitment and promotion of their staff, ostensibly with a view to safeguard the career interests of their existing employees.Design/methodology/approach – The manpower systems are modeled as Markov systems, and their inherent characteristics and long‐term behavior are studied.Findings – Significantly it is shown that such proportionality systems do not compromise on flexibility in the long term, and can also provide an additional means of controlling the blend of manpower in the system. The theoretical results were tested with real‐world data, and a good degree of conformity was observed between the theoretical predictions and the actually observed behaviour.Practical implications – The model can also be applied to organizations which outsource a part of their work, the outsource workforce being notionally being considered as recruits to the system.Originality/value – Out...

[1]  Philippe Carette.  Modelling hierarchical systems by a continuous-time homogeneous Markov chain using two-wave panel data , 1999, Journal of Applied Probability.

[2]  Alexander Mehlmann,et al.  An Approach to Optimal Recruitment and Transition Strategies for Manpower Systems using Dynamic Programming , 1980 .

[3]  P. Vassiliou,et al.  Infinite products of matrices with some negative elements and row sums equal to one , 1990 .

[4]  J. Gani,et al.  Formulae for Projecting Enrolments and Degrees Awarded in Universities , 1963 .

[5]  John Glen.  Length of Service Distributions in Markov Manpower Models , 1977 .

[6]  W. J. Hayne,et al.  Two‐characteristic markov‐type manpower flow models , 1977 .

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

[8]  Wilson L. Price,et al.  Stochastic Programming Applied to Human Resource Planning , 1981 .

[9]  A. G. Kalamatianou,et al.  Attainable and Maintainable Structures in Markov Manpower Systems with Pressure in the Grades , 1987 .

[10]  Stelios H. Zanakis,et al.  A Markov Chain Application to Manpower Supply Planning , 1980 .

[11]  Jayaram K. Sankaran.  Short‐term retrenchment planning in hierarchical manpower systems , 1995 .

[12]  David J. Bartholomew,et al.  Stochastic Models for Social Processes. , 1969 .

[13]  P.-C. G. Vassiliou,et al.  Non-homogeneous semi-Markov systems and maintainability of the state sizes , 1992 .

[14]  Ghali Abdallaoui,et al.  Maintainability of a Grade Structure as a Transportation Problem , 1987 .

[15]  P.-C. G. Vassiliou,et al.  Maintainability of Structures in Nonhomogeneous Markov Systems Under Cyclic Behavior and Input Control , 1984 .

[16]  P.-C. G. Vassiliou,et al.  Asymptotic Behavior of First Passage Probabilities in the Perturbed Non-homogeneous Semi-Markov Systems , 2004 .

[17]  Nobuto Nakamura,et al.  A model for recruiting and training decisions in manpower planning , 1984 .

[18]  B. G. Raghavendra,et al.  A Bivariate Model for Markov Manpower Planning Systems , 1991 .

[19]  G. Abdallaoui,et al.  Probability of maintaining or attaining a structure in one step , 1987, Journal of Applied Probability.

[20]  P. Vassiliou,et al.  Periodicity of asymptotically attainable structures in nonhomogeneous Markov systems , 1992 .

[21]  S. P. Mukherjee,et al.  A Stochastic Analysis of a Staffing Problem , 1989 .

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

[23]  Peter J. Verbeek.  Decision support systems — An application in strategic manpower planning of airline pilots , 1989 .

[24]  Sanjeev K. Bordoloi.  Agent Recruitment Planning in Knowledge-Intensive Call Centers , 2004 .

[25]  Kin Keung Lai,et al.  On dispatching unequally capable service technicians , 2002 .

[26]  P. Vassiliou.  A Markov Chain Model for Wastage in Manpower Systems , 1976 .

[27]  Vasja Vehovar,et al.  The Modelling of Manpower by Markov Chains - A Case Study of the Slovenian Armed Forces , 2008, Informatica.

[28]  P.-C. G. Vassiliou,et al.  Asymptotic behavior of nonhomogeneous semi-Markov systems , 1994 .

[29]  P. Poornachandran Rao.  A Dynamic Programming Approach to Determine Optimal Manpower Recruitment Policies , 1990 .

[30]  J Fry Michael,et al.  Firefighter Staffing Including Temporary Absences and Wastage , 2006 .

[31]  Miles G. Nicholls,et al.  Tertiary Education Faculty Planning: An Application of a Substantially New Direct Control Model , 1985 .

[32]  P. Vassiliou,et al.  Variances and covariances of the grade sizes in manpower systems , 1985 .

[33]  P. Vassiliou,et al.  Periodicity of infinite products of matrices with some negative elements and row sums equal to one , 1992 .

[34]  G. S. Davies.  Structural Control in a Graded Manpower System , 1973 .

[35]  Wayne Corcoran,et al.  The analysis of academic retrenchment using parametric programming and markov chains , 1984, Comput. Oper. Res..

[36]  Andreas C. Georgiou,et al.  Partial maintainability and control in nonhomogeneous Markov manpower systems , 1992 .

[37]  P. Vassiliou.  Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems , 1984, Journal of Applied Probability.

[38]  H. Seal,et al.  The mathematics of a population composed of kappa stationary strata each recruited from the stratum below and supported at the lowest level by a uniform annual number of entrants. , 1945, Biometrika.

[39]  Richard C. Grinold,et al.  Optimal Control of a Graded Manpower System , 1974 .

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

[41]  P. Vassiliou,et al.  Asymptotic periodicity of the variances and covariances of the state sizes in non-homogeneous Markov systems , 1988, Journal of Applied Probability.

[42]  Sally McClean,et al.  Modelling heterogeneity in a manpower system: a review , 2000 .

[43]  I. Gerontidis.  Periodicity of the profile process in Markov manpower systems , 1995 .

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

[45]  Gerald L. Thompson,et al.  A Distributed Parameter Cohort Personnel Planning Model That Uses Cross-Sectional Data , 1984 .

[46]  A. Schinnar,et al.  Sensitivity Analysis of Promotion Opportunities in Graded Organizations , 1984 .

[47]  P.-C. G. Vassiliou,et al.  On the Asymptotic Behaviour of Age Distributions in Manpower Systems , 1981 .

[48]  Steven Vajda.  Mathematics of manpower planning , 1967 .