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Production Planning for a Manpower System with a Constant Level of Recruitment
Author(s) -
Abodunde T. T.,
McClean S. I.
Publication year - 1980
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2346409
Subject(s) - constant (computer programming) , production (economics) , manpower planning , operations management , business , environmental science , computer science , operations research , engineering , economics , microeconomics , programming language
S ummary 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.