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Markovian manpower models in continuous time

Published online by Cambridge University Press:  14 July 2016

Alexander Mehlmann*
Affiliation:
University of Technology, Vienna

Abstract

The problem of determining the asymptotic form of the stock vector n(t) in a continuous time Markovian manpower model is solved for asymptotically exponential recruitment functions {R(t)}. A new approach to the limiting behaviour of some manpower systems with given total sizes {N(t)} is then given by means of time-inhomogeneous Markov processes.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1977 

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References

Bartholomew, D. J. (1973) Stochastic Models for Social Processes. Wiley, London.Google Scholar
Feichtinger, G. (1976) On the generalization of stable age distributions to Gani-type person-flow models. Adv. Appl. Prob. 8, 433445.Google Scholar
Feichtinger, G. and Mehlmann, A. (1976) The recruitment trajectory corresponding to particular stock sequences in Markovian person-flow models. Maths Opns Res. 1, 175184.Google Scholar
Gröbner, W. (1966) Matrizenrechnung. Bibliographisches Institut, Mannheim.Google Scholar
Kingman, J. F. C. (1963) Ergodic properties of continuous-time Markov processes and their discrete skeletons. Proc. London Math. Soc. (3) 13, 593604.Google Scholar
Mott, S. L. (1957) Conditions for the ergodicity of nonhomogeneous finite Markov chains. Proc. R. Soc. Edinburgh A 64, 369380.Google Scholar
Prabhu, N. II (1965) Stochastic Processes. Collier-Macmillan, New York.Google Scholar
Waugh, W. A. O'N. (1971) Career prospects in stochastic social models with time-varying rates. Fourth Conference on the Mathematics of Population, East-West Population Institute, Honolulu.Google Scholar