Skip to main content

Optimal and Near-Optimal Strategies in Discrete Stochastic Multiobjective Quasi-hierarchical Dynamic Problems

  • Conference paper
  • First Online:
Operations Research Proceedings 2015

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

Multi-stage, multi-criteria discrete decision processes under risk are considered and Bellmans principle of optimality is applied. Quasi-hierarchy of multi-period criteria is determined by the decision maker. The aim of the paper is to propose an algorithm to solve quasi-hierarchical problem according to decision maker’s requirements. The process of obtaining the final solution is interactive.

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

Access this chapter

Institutional subscriptions

References

  1. Bellman, R.: Dynamic Programming. Princenton University Press, Princenton (1957)

    Google Scholar 

  2. Elmaghraby, S.E.: The theory of networks and management science. Part 1. Manag. Sci. 18, 1–34 (1970)

    Article  Google Scholar 

  3. Nowak, M.: Quasi-hierarchical approach in multiobjective decision tree. In: Kopanska-Brodka, D. (ed.) Analysis and Decision Aid. pp. 59–73, University of Economics in Katowice, Katowice (2014) (in Polish)

    Google Scholar 

  4. Nowak, M., Trzaskalik, T.: Quasi-hierarchical approach to discrete multiobjective stochastic dynamic programming. J. Adv. Comput. Intell. Intell. Inform. (in press)

    Google Scholar 

  5. Trzaskalik, T.: MCDM Applications of near optimal solutions in dynamic programming. Multi. Criteria Decis. Mak. 10 (2015)

    Google Scholar 

  6. Trzaskalik, T.: Multiobjective analysis in dynamic environmnent. The Karol Adamiecki University of Economics. Katowice Press, Katowice (1998)

    Google Scholar 

  7. Trzaskalik, T.: Multiobjective discrete dynamic programming, theory and applications in economics. The Karol Adamiecki University of Economics. Katowice Press, Katowice (1990). (in Polish)

    Google Scholar 

Download references

Acknowledgements

This research was supported by National Science Centre, decision no DEC-2013/11/B/HS4/01471.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maciej Nowak .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this paper

Cite this paper

Nowak, M., Trzaskalik, T. (2017). Optimal and Near-Optimal Strategies in Discrete Stochastic Multiobjective Quasi-hierarchical Dynamic Problems. In: Dörner, K., Ljubic, I., Pflug, G., Tragler, G. (eds) Operations Research Proceedings 2015. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-42902-1_40

Download citation

Publish with us

Policies and ethics