Asymptotically Attainable Structures in Nonhomogeneous Markov Systems
P.-C. G. Vassiliou, A. C. Georgiou
Operations Research · 1990 · Volume 38 · Issue 3
Abstract
In this paper, we provide and study a new aspect in the classical problem of the asymptotic behavior of a nonhomogeneous Markov system (NHMS). The set of asymptotically attainable structures is determined as the convex hull of k vertices, which are given. Also, the rate of convergence to asymptotically attainable structures is studied and conditions are provided for the convergence to be geometrically fast. Finally, an illustration of the results with data from manpower systems is provided.
Keywords
organizational studies, manpower planning: asymptotic control of population systems, probability, Markov processes: nonhomogeneous Markov systems
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