Asymptotically attainable structures in nonhomogeneous Markov systems

In this paper, the authors 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.