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Production Planning for a Manpower System with a Constant Level of Recruitment

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  • T. T. Abodunde
  • S. I. McClean

Abstract

We discuss a model which describes the development of telephone services in the Republic of Ireland, by linking expansion in the telephone system to expansion in the workforce. The number of telephones in the system is regarded as a population interacting with the grades of staff. A continuous‐time Markov model is developed and expressions given for the first‐and second‐order moments of the number of staff in each grade and the total number of telephones at any time, under the assumption of Poisson recruitment, and constant promotion and leaving patterns. This enables estimation of the recruitment level necessary to produce a known steady‐state size of the telephone system. The statistical variations in grade sizes and number of telephones may therefore be found at any time, and the steady‐state distribution calculated. In general terms we may regard the model as linking the manpower system to production where each grade of staff produces at a different rate. The effects of changing manpower structure, on production, may therefore be evaluated.

Suggested Citation

  • T. T. Abodunde & S. I. McClean, 1980. "Production Planning for a Manpower System with a Constant Level of Recruitment," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(1), pages 43-49, March.
    • Handle: RePEc:bla:jorssc:v:29:y:1980:i:1:p:43-49
    DOI: 10.2307/2346409
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    Cited by:

    1. Asis Chattopadhyay & Arindam Gupta, 2007. "A stochastic manpower planning model under varying class sizes," Annals of Operations Research, Springer, vol. 155(1), pages 41-49, November.

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