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Extended VIKOR as a new method for solving Multiple Objective Large-Scale Nonlinear Programming problems

  • Majeed Heydari (a1), Mohammad Kazem Sayadi (a1) and Kamran Shahanaghi (a1)
Abstract

The VIKOR method was introduced as a Multi-Attribute Decision Making (MADM) method to solve discrete decision-making problems with incommensurable and conflicting criteria. This method focuses on ranking and selecting from a set of alternatives based on the particular measure of “closeness” to the “ideal” solution. The multi-criteria measure for compromise ranking is developed from the lp metric used as an aggregating function in a compromise programming method. In this paper, the VIKOR method is extended to solve Multi-Objective Large-Scale Non-Linear Programming (MOLSNLP) problems with block angular structure. In the proposed approach, the Y-dimensional objective space is reduced into a one-dimensional space by applying the Dantzig-Wolfe decomposition algorithm as well as extending the concepts of VIKOR method for decision-making in continues environment. Finally, a numerical example is given to illustrate and clarify the main results developed in this paper.

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RAIRO - Operations Research
  • ISSN: 0399-0559
  • EISSN: 1290-3868
  • URL: /core/journals/rairo-operations-research
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