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Interactive Multiobjective Procedure for Mixed Problems and Its Application to Capacity Planning.

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  • 1Department of Operations Research, University of Economics in Katowice, Ul. 1 Maja 50, 40-287 Katowice, Poland.

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Summary

This study introduces a simple interactive trade-off procedure for mixed decision problems with deterministic, stochastic, and fuzzy values. It aids decision-makers in refining solutions by specifying criteria improvements for better optimization outcomes.

Keywords:
capacity planninginteractive proceduremultiobjective dynamic programmingordered structuresscalarizationtrade-offs

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Area of Science:

  • Operations Research
  • Decision Analysis
  • Optimization

Background:

  • Decision models often involve complex evaluations with deterministic, stochastic, and fuzzy values, termed mixed problems.
  • These mixed problems necessitate specialized optimization techniques and scalarization methods.

Purpose of the Study:

  • To present an interactive procedure with trade-offs designed for mixed decision problems.
  • To assist decision-makers in reaching final decisions by iteratively refining solutions.

Main Methods:

  • Development of an interactive procedure that allows decision-makers to guide solution improvement.
  • The procedure involves specifying criteria for improvement, non-degradation, and acceptable worsening.

Main Results:

  • The proposed procedure offers a simple yet effective way to handle multidimensional evaluations in mixed problems.
  • Demonstrated application in solving capacity planning as a mixed dynamic programming problem.

Conclusions:

  • The interactive trade-off procedure simplifies decision-making in complex mixed problems.
  • This approach enhances the practical applicability of optimization techniques in real-world scenarios like capacity planning.