On the limiting behaiour of a nonhomogeneour Markov chain model in manpower systems

Abstract

SUMMARY We study the limiting structure of an expanding manpower system where the nonhomogeneous Markov chain model proposed by Young & Vassiliou (1974) is applicable. The limiting structure and the relative limiting structure exist under certain conditions which are easily met in practical situations. Finally the problem of weak ergodicity in the above manpower systems is studied. Necessary and sufficient conditions are provided for weak ergodicity.