An interactive approach to the stochastic multiobjective allocation problem
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 prop...
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doaj-b7e6eb75aadd43729fb62164bcbe865e2020-11-25T01:13:38ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312015-03-016129330410.17535/crorr.2015.0023An interactive approach to the stochastic multiobjective allocation problemMaciej Nowak0Tadeusz Trzaskalik1Department of Operations Research, University of Economics in Katowice, Katowice, PolandDepartment of Operations Research, University of Economics in Katowice, Katowice, PolandThe 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.http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=204335stochastic allocation problemmultiobjective dynamic programminginteractive approachstochastic dominance |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Maciej Nowak Tadeusz Trzaskalik |
spellingShingle |
Maciej Nowak Tadeusz Trzaskalik An interactive approach to the stochastic multiobjective allocation problem Croatian Operational Research Review stochastic allocation problem multiobjective dynamic programming interactive approach stochastic dominance |
author_facet |
Maciej Nowak Tadeusz Trzaskalik |
author_sort |
Maciej Nowak |
title |
An interactive approach to the stochastic multiobjective allocation problem |
title_short |
An interactive approach to the stochastic multiobjective allocation problem |
title_full |
An interactive approach to the stochastic multiobjective allocation problem |
title_fullStr |
An interactive approach to the stochastic multiobjective allocation problem |
title_full_unstemmed |
An interactive approach to the stochastic multiobjective allocation problem |
title_sort |
interactive approach to the stochastic multiobjective allocation problem |
publisher |
Croatian Operational Research Society |
series |
Croatian Operational Research Review |
issn |
1848-0225 1848-9931 |
publishDate |
2015-03-01 |
description |
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. |
topic |
stochastic allocation problem multiobjective dynamic programming interactive approach stochastic dominance |
url |
http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=204335 |
work_keys_str_mv |
AT maciejnowak aninteractiveapproachtothestochasticmultiobjectiveallocationproblem AT tadeusztrzaskalik aninteractiveapproachtothestochasticmultiobjectiveallocationproblem AT maciejnowak interactiveapproachtothestochasticmultiobjectiveallocationproblem AT tadeusztrzaskalik interactiveapproachtothestochasticmultiobjectiveallocationproblem |
_version_ |
1725161034441818112 |