Cost models in nonhomogeneous Markov systems

Abstract We study the problem of introducing the phases through which a nonhomogeneous Markov system (NHMS) passes, as time goes to infinity. For each phase an appropriate objective function is introduced and a cost problem is formulated. Appropriate input policies subject to the cost objective functions which are established on the Markov manpower system are investigated. Finally, a procedure is provided that summarises the phases, the objective functions and the control policies commencing from the initial structure resulting to its stationary form.

[1]  P.-C. G. Vassiliou,et al.  On the Asymptotic Behaviour of Age Distributions in Manpower Systems , 1981 .

[2]  Steven Vajda.  Mathematics of manpower planning , 1967 .

[3]  Dean Isaacson,et al.  The rate of convergence of certain nonhomogeneous Markov chains , 1976 .

[4]  D. J. Bartholomew,et al.  Stochastic Models for Social Processes. , 1968 .

[5]  P.-C. G. Vassiliou,et al.  Maintainability of Structures in Nonhomogeneous Markov Systems Under Cyclic Behavior and Input Control , 1984 .

[6]  S. Vajda,et al.  Mathematical Aspects of Manpower Planning , 1975 .

[7]  Dean Isaacson,et al.  Markov Chains: Theory and Applications , 1976 .

[8]  Marius Iosifescu,et al.  Finite Markov Processes and Their Applications , 1981 .

[9]  F. Gantmacher,et al.  Applications of the theory of matrices , 1960 .

[10]  P.-C. G. Vassiliou,et al.  Asymptotically Attainable Structures in Nonhomogeneous Markov Systems , 1990, Oper. Res..

[11]  P.-C. G. Vassiliou.  STABILITY IN A NON-HOMOGENEOUS MARKOV CHAIN MODEL IN MANPOWER SYSTEMS , 1981 .

[12]  Alexander Mehlmann,et al.  An Approach to Optimal Recruitment and Transition Strategies for Manpower Systems using Dynamic Programming , 1980 .

[13]  G. S. Davies.  Maintainability of structures in Markov chain models under recruitment control , 1975 .

[14]  Richard C. Grinold,et al.  Optimal Control of a Graded Manpower System , 1974 .

[15]  N. Tsantas,et al.  Stochastic control in non-homogeneous Markov systems , 1984 .

[16]  Alexander Mehlmann,et al.  The Recruitment Trajectory Corresponding to Particular Stock Sequences in Markovian Person-Flow Models , 1976, Math. Oper. Res..

[17]  P. J. Brockwell,et al.  The control of a finite dam , 1982 .

[18]  Gustav Feichtinger,et al.  On the generalization of stable age distributions to Gani-type person-flow models , 1976, Advances in Applied Probability.

[19]  P.-C. G. Vassiliou,et al.  Asymptotic behavior of Markov systems , 1982, Journal of Applied Probability.

[20]  G. S. Davies.  Structural Control in a Graded Manpower System , 1973 .