Volume 44, Number 2, April-June 2010
|Page(s)||139 - 152|
|Published online||27 April 2010|
Extended VIKOR as a new method for solving Multiple Objective Large-Scale Nonlinear Programming problems
Department of Industrial Engineering, Iran University of Science and Technology, Narmak, Tehran,
Accepted: 9 October 2009
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 l–p 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.
Mathematics Subject Classification: 90C06 / 90C30 / 90V29
Key words: Large-scale systems / multi-criteria decision making / nonlinear programming / compromise programming / ideal solution / VIKOR method
© EDP Sciences, ROADEF, SMAI, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.