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Interactive Procedure for Multiobjective Dynamic Programming with the Mixed Ordered Structure

100%
Nowak M., Sitarz S., Trzaskalik T.
Multiple Criteria Decision Making
|
2017
|
vol. 12
168-184
EN
The paper presents a multiobjective dynamic programming problem with the values of the criteria function in ordered structures. The first problem is a model with deterministic values; the second, one with triangular fuzzy numbers; and the third, one with discrete random variables with the k-th absolute moment finite. The fourth model is a product of the three models listed above. The aim of the paper is to present an interactive procedure which uses trade-offs and which allows to determine the final solution in the mixed ordered structure. The ordered structures and the proposed procedure are illustrated by numerical examples.
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Application of Multiobjective Dynamic Programming to the Allocation and Reliability Problem

75%
Trzaskalik T.
Multiple Criteria Decision Making
|
2018
|
vol. 13
149-166
EN
The paper deals with a model of the allocation and reliability problem. This static problem, presented as a multistage decision process, can be solved using multiobjective dynamic programming. The goal of this paper is to formulate the allocation and reliability problem as a multistage decision process, to find the set of all its efficient solutions, to use the weighted sum method for multistage and single-stage criteria, as well as to perform sensitivity analysis.
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