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1 results

  • Variances and covariances of the grade sizes in manpower systems

  • P.-C. G. Vassiliou, I. Gerontidis
  • Journal:
    Journal of Applied Probability / Volume 22 / Issue 3 / September 1985
    Published online by Cambridge University Press:
    14 July 2016, pp. 583-597
    Print publication:
    September 1985

  • The asymptotic behaviour of the variances and covariances of the class sizes in closed and open manpower systems is considered. Firstly, the homogeneous case is studied and a theorem is stated which provides the answer to the problem in the most general case for the homogeneous Markov-chain models in manpower systems (open systems) and social mobility models (closed systems). Secondly, the non-homogeneous problem is studied and a theorem is given where under certain conditions it is proved that the vector sequences of means, variances and covariances converge. Finally, we relate our theoretical results to examples from the literature on manpower planning.