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2015 | 10 | 166-184

Article title

MCDM Applications of Near Optimal Solutions in Dynamic Programming

Content

Title variants

Languages of publication

EN

Abstracts

EN
One of the methods of scalarization of a multi-criteria problem is the application of a quasi-hierarchy, determined by the decision maker. In discrete problems, to apply this method it is necessary to have an algorithm which generates the optimal solution and the consecutive solutions, contained within the tolerance interval determined by the decision maker. This paper presents algorithms generating the consecutive realizations for a multi-stage deterministic decision-making process as well as an algorithm generating the consecutive strategies for a multi-stage stochastic decision- making process. Algorithms using these solutions in a multi-criteria quasi-hierarchical process are also proposed.

Year

Volume

10

Pages

166-184

Physical description

Contributors

References

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  • Nowak M., Trzaskalik T. (2014), Interactive Approach Application to Stochastic Multiobjective Allocation Problem - A Two-phase Approach, Multiple Criteria Decision Making, Vol. 9, 84-100.
  • Nowak M., Trzaskalik T. (2013), Interactive Procedure for a Multiobjective Stochastic Discrete Dynamic Problem, Journal of Global Optimization, Vol. 57, Iss. 2, October, 315-330, First online: 08 December 2012.
  • Trzaskalik T. (2015), Optimal and Near Optimal Strategies in Discrete Stochastic Dynamic Programming, Prace Naukowe Uniwersytetu Gdańskiego, Zarządzanie i Finanse, No 4, part 1 (in Polish).
  • Trzaskalik T. (1998), Multiobjective Analysis in Dynamic Environmnent, The Karol Adamiecki University of Economics, Katowice.
  • Trzaskalik T. (1990), Multiobjective Discrete Dynamic Programming. Theory and Applications in Economics, The Karol Adamiecki University of Economics, Katowice (in Polish).
  • Trzaskalik T., Sitarz S. (2009), Dynamic Stochastic Problems of Profit Maximization with Partially Ordered Criteria Space, Multiple Criteria Decision Making, Vol. 4, 215-226.
  • Trzaskalik T., Sitarz S. (2007), Discrete Dynamic Programming with Outcomes in Random Variable Structures, European Journal of Operational Research, Vol. 177.
  • Trzaskalik T., Thien Hoa D. (1999), Multiobjective, Multistage Decision Processes in the Frame of Uncertainity [in:] T. Trzaskalik (ed.), Modelowanie preferencji a ryzyko'99, part 2, Akademia Ekonomiczna im. K. Adamieckiego, Katowice (in Polish).
  • Wager H.M. (1975), Principles of Operations Research, 2nd ed., Prentice Hall, Inc., Englewood Cliffs, New Jersey.

Document Type

Publication order reference

Identifiers

ISSN
2084-1531

YADDA identifier

bwmeta1.element.cejsh-a9035f67-7852-4c92-8a7e-95ee29592677
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