Skip to main content

The Perturbed Non-Homogeneous Semi-Markov System

  • Chapter
Semi-Markov Models and Applications

Abstract

In the present we introduce and define for the first time the concept of a perturbed non-homogeneous semi-Markov system (P-NHSMS). We study the problem of the expected population structure as a function of the basic parameters of the system.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bartholomew, D.J. (1982). Stochastic models for social processes, Wiley, Chichester, 3rd ed.

    MATH  Google Scholar 

  2. Bartholomew, D.J., Forbes, A.F. and McClean, S.I. (1991). Statistical Techniques for Manpower Planning, Wiley, Chichester.

    Google Scholar 

  3. Campbell, S. L. and C.D. Meyer (1979). Generalized inverses of Linear Transformations, Pitman, London.

    MATH  Google Scholar 

  4. Jansen, J. (1986). Semi-Markov models: Theory and applications. ed. J. Janssen, Plenum Press, New York.

    Google Scholar 

  5. McClean, S.I. (1980) A semi-Markov model for a multi-grade population with Poisson recruitment, J. Appl Prob., 17, 846–852.

    Article  MathSciNet  MATH  Google Scholar 

  6. McClean, S. I. (1986). Semi-Markov models for manpower planning, In Semi-Markov models: Theory and Applications, ed. J. Janssen, Plenum Press, New York.

    Google Scholar 

  7. McClean, S.I. (1993). Semi-Markov models for human resource modelling. IMA Journal of mathematics Applied in Business and Industry, 4, 307–315.

    Google Scholar 

  8. McClean, S.I., E. Montgomery and F.Ugwuowo (1997). Non-homogeneous Continuous Time Markov and Semi -Markov Manpower Models. Appl. Stochastic Models and Data Analysis, 13, 191–198.

    Article  MathSciNet  MATH  Google Scholar 

  9. Mehlman, A. (1979). Semi-Markovian manpower models in continious time, J. Appl. Prob, 6, 416–422.

    Article  Google Scholar 

  10. Meyer, C.D. (1975). The role of the group generalized inverse in the theory of finite Markov chains. Siam Review, 17, 443–464.

    MATH  Google Scholar 

  11. Papadopoulou, A.A and P.-C.G. Vassiliou (1994). Asymptotic be-havior of non-homogeneous Semi-Markov Systems, Linear Algebra and its applications, 210, 153–198.

    Article  MathSciNet  MATH  Google Scholar 

  12. Vassiliou, P.-C. G. and A.A. Papadopoulou (1992), Non-homogeneous semi-Markov systems and maintainably of the state sizes, J. Appl. Prob., 29, 519–534.

    Article  MathSciNet  MATH  Google Scholar 

  13. Vassiliou, P.-C. G. (1996). The non-homogeneous semi-Markov sys-tem in a stochastic environment, In Applied Probability in Honor of J.M. Gani. Ed. C.C. Heyde, Yu V. Prohorov, R. Pyke, S.T. Rachev. Springer

    Google Scholar 

  14. Vassiliou, P.-C. G. and M.A. Symeonaki (1999) The perturbed non-homogeneous Markov system, Linear Alg. and its Appl. (to appear).

    Google Scholar 

  15. Vassiliou, P.-C. G. and M.A. Symeonaki (1998). The perturbed non-homogeneous Markov system in continuous time, Appl. Stochastic Models and Data Analysis, 13, 207–216.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Kluwer Academic Publishers

About this chapter

Cite this chapter

Vassiliou, P.C.G., Tsakiridou, H. (1999). The Perturbed Non-Homogeneous Semi-Markov System. In: Janssen, J., Limnios, N. (eds) Semi-Markov Models and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3288-6_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3288-6_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3290-9

  • Online ISBN: 978-1-4613-3288-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics