Programming problems with a large number of objective functions

Authors:
Cornel Resteanu;Romica Trandafir
Affiliations:
National Institute for Research and Development in Informatics, Bucharest, Romania;Technical University of Civil Engineering, Bucharest, Romania
Venue:
NMA'10 Proceedings of the 7th international conference on Numerical methods and applications
Year:
2010

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Abstract

The paper treats the Multi-Objective Programming problem with a large composite set of (linear and nonlinear) objective functions, the domain of feasible solutions being defined by a set of linear equalities/inequalities representing a large scale problem. One constructs a preferred solution i.e. a non-dominated solution chosen via extending the decision-making framework. A feasible approach, for this class of problems, is to use a solver for the Linear Programming problems and a solver for Multiple Attribute Decision Making problems in combination with Parallel and Distributed Computing techniques based on a GRID configuration.