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Original scientific paper
https://doi.org/10.17535/crorr.2015.0023

An interactive approach to the stochastic multiobjective allocation problem

Maciej Nowak   ORCID icon orcid.org/0000-0002-8561-3863 ; Department of Operations Research, University of Economics in Katowice, Katowice, Poland
Tadeusz Trzaskalik ; Department of Operations Research, University of Economics in Katowice, Katowice, Poland

Fulltext: english, pdf (181 KB) pages 293-304 downloads: 256* cite
APA 6th Edition
Nowak, M. & Trzaskalik, T. (2015). An interactive approach to the stochastic multiobjective allocation problem. Croatian Operational Research Review, 6 (1), 293-304. https://doi.org/10.17535/crorr.2015.0023
MLA 8th Edition
Nowak, Maciej and Tadeusz Trzaskalik. "An interactive approach to the stochastic multiobjective allocation problem." Croatian Operational Research Review, vol. 6, no. 1, 2015, pp. 293-304. https://doi.org/10.17535/crorr.2015.0023. Accessed 23 Jul. 2019.
Chicago 17th Edition
Nowak, Maciej and Tadeusz Trzaskalik. "An interactive approach to the stochastic multiobjective allocation problem." Croatian Operational Research Review 6, no. 1 (2015): 293-304. https://doi.org/10.17535/crorr.2015.0023
Harvard
Nowak, M., and Trzaskalik, T. (2015). 'An interactive approach to the stochastic multiobjective allocation problem', Croatian Operational Research Review, 6(1), pp. 293-304. https://doi.org/10.17535/crorr.2015.0023
Vancouver
Nowak M, Trzaskalik T. An interactive approach to the stochastic multiobjective allocation problem. Croatian Operational Research Review [Internet]. 2015 [cited 2019 July 23];6(1):293-304. https://doi.org/10.17535/crorr.2015.0023
IEEE
M. Nowak and T. Trzaskalik, "An interactive approach to the stochastic multiobjective allocation problem", Croatian Operational Research Review, vol.6, no. 1, pp. 293-304, 2015. [Online]. https://doi.org/10.17535/crorr.2015.0023

Abstracts
The paper considers the stochastic multiobjective allocation problem. An assumption is made that a particular resource should be allocated to T projects. The specified level of each goal (along with the known probabilities) can be obtained based on the amount of the resources allocated. We will propose an identification strategy procedure that the decision maker can implement. Our technique combines multiobjective dynamic programming and an interactive approach. First, efficient strategies are identified using Bellman's principle applied to the multiobjective problem. Next, a dialog procedure is used to find a solution that is satisfactory for the decision maker. A numerical example is presented to show how the procedure can be applied.

Keywords
stochastic allocation problem; multiobjective dynamic programming; interactive approach; stochastic dominance

Hrčak ID: 138617

URI
https://hrcak.srce.hr/138617

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