Multicriteria analysis tools in real-life problems
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Applied optimization problems such as design, identification, design of controlled systems, operational development of prototypes, analysis of large-scale systems, and forecasting from observational data are multicriteria problems in essence. Construction of the feasible solution set is of primary importance in the above problems. The definition of a feasible solution is usually considered to be the skill of a designer. Even though this skill is essential, it is by no means sufficient for the correct statement of the problem. There are many antagonistic performance criteria and all kinds of constraints in these problems; therefore, it is quite difficult to correctly determine the feasible set. As a result, ill-posed problems are solved, and optimal colutions are reached for far from where they should be. As a consequence, the optimization results have no practical meaning. In this work we propose methods and tools that will assist the designer in defining the feasible solution set correctly.
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Statnikov, Roman; Anil, Kivanc Ali; Bordetsky, Alex; Statnikov, Alexander (2007-05);One of the basic engineering optimization problems is the problem of improving a prototype. This problem is constantly encountered by industrial and academic organizations that produce and design various objects (e.g., ...
Statnikov, Roman; Anil, Kivanc Ali; Bordetsky, Alex; Statnikov, Alexander (2008);One of the basic engineering optimization problems is improvement of the prototype. This problem is often encountered by industrial and academic organizations that produce and design various objects (e.g. motor ...
A computer code for solving medium sized non-linear programming problems by the method of feasible directions. Harrison, James Douglas. (Monterey, California. Naval Postgraduate School, 1974-09);A computer code, FEASBL, is developed to maximize a non-linear objective function over a convex feasible region. The feasible region is defined by a set of non-linear and linear constraints on the variables. FEASBL can ...