Economic Rewards in Non-homogeneous Semi-Markov Systems

Communications in Statistics - Theory and Methods

Volumn 33, Issue 3, 2004, Pages 681-696

  Papadopoulou, Aleka A ^a  

^a ALEXANDER TECHNOLOGICAL EDUCATIONAL INSTITUTE OF THESSALONIKI   (Greece)

Author keywords

Membership; Non homogeneity; Rewards; Semi Markov process; Stochastic population model

Indexed keywords

FUNCTIONS; INDUSTRIAL MANAGEMENT; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERSONNEL; STATISTICAL METHODS;

MEMBERSHIP; NON HOMOGENEITY; REWARDS; SEMI MARKOV PROCESS; STOCHASTIC POPULATION MODEL;

MARKOV PROCESSES;

EID: 1642314173     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120028691     Document Type: Article

References (26)

1. Cinlar, E. (1969). Markov renewal theory. Adv. Appl. Prob. 1:123-187.
2. Cinlar, E. (1975a). Markov renewal theory: A survey. Manage. Sci. 21:727-752.
3. Cinlar, E. (1975b). Introduction to Stochastic Processes. Englewood Cliffs, NJ: Prentice-Hall.
4. De Dominies, R., Manca, R. (1985). Some new results on the transient behaviour of semi-Markov reward processes. Methods Oper. Res. Comput. 13:823-838.
5. Howard, R. A. (1971). Dynamic Probabilistic Systems. Chichester: Wiley.
6. Iosifescu-Manu, A. (1972). Non homogeneous semi-Markov processes. Studiisi Cercetuari Matematice 24:529-533.
7. Janssen, J. (1986). Semi-Markov Models: Theory and Applications. Janssen, J., ed. New York: Plenum Press.
8. Janssen, J., De Dominics, R. (1984). Finite non homogeneous semi-Markov processes: Theoretical and computational aspects. Insurance: Math. Econ. 3:157-165.
9. Janssen, J., Limnios, N. (1999). Semi-Markov Models and Applications. Janssen, J., Limnios, N., eds. Dordrecht: Kluwer Academic Publishers.
10. Keilson, J. (1969). On the matrix renewal function for Markov renewal processes. Ann. Math. Statist. 40:1901-1907.
11. Keilson, J. (1971). A process with chain dependent growth rate. Markov Part II: The ruin and ergodic problems. Adv. Appl. Prob. 3:315-338.
12. Limnios, N., Oprisan, G. (2001). Semi-Markov Processes and Reliability. Boston: Birkhauser.
13. McClean, S. I. (1976). The two stage model for personnel behaviour. J.R.S.S. A139:205-217.
14. McClean, S. I. (1978). Continuous time stochastic models for a multigrade population. J. Appl. Prob. 15:26-32.
15. McClean, S. I. (1980). A semi-Markovian model for a multigrade population. J. Appl. Prob. 17:846-852.
16. McClean, S. I. (1986). Semi-Markov models for manpower planning. In: Semi-Markov Models: Theory and Applications. New York: Plenum Press, pp. 283-300.
17. McLean, R. A., Neuts, M. F. (1967). The integral of a step function defined on a semi-Markov process. Siam J. Appl. Math. 15:726-737.
18. McClean, S. I., McAlea, B., Millard, P. (1998). Using a Markov reward model to estimate spend-down costs for a geriatric department. J. Oper. Res. Soc. 10:1021-1025.
19. Papadopoulou, A. A. (1997). Counting transitions-entrance probabilities in non homogeneous semi-Markov systems. Appl. Stock. Models Data Anal. 13:199-206.
20. Papadopoulou, A. A., Vassiliou, P.-C. G. (1994). Asymptotic behavior of non homogeneous semi-Markov systems. Linear Algebra Appl. 210:153-198.
21. Papadopoulou, A. A., Vassiliou, P.-C. G. (1999). Continuous time non homogeneous semi-Markov systems. In: Janssen, J., Limnios, N., eds. Semi-Markov Models and Applications. Vol. 15. Dordrecht: Kluwer Academic Publishers, pp. 241-251.
22. Pyke, R., Schaufele, R. A. (1964). Limit theorem for Markov renewal process. Ann. Math. Statist. 55:1746-1764.
23. Reza Soltani, A., Khorshidian, K. (1998). Reward processes for semi-Markov processes: Asymptotic behaviour. J. Appl. Prob. 35:833-842.
24. Taylor, G. J., McClean, S. I., Millard, P. H. (2000). Stochastic models of geriatric patient bed occupancy behaviour. J. R. Statist. Soc. A 163:39-48.
25. Teugels, J. L. (1976). A bibliography on semi-Markov processes. J. Comp. Appl. Math. 2:125-144.
26. Vassiliou, P.-C. G., Papadopoulou, A. A. (1992). Non homogeneous semi-Markov systems and maintainability of the state sizes. J. Appl. Prob. 29:519-534.