Cooperative multiobjective optimization with bounds on objective functions

An Objective Penalty Functions Algorithm for Multiobjective Optimization Problem

By using the penalty function method with objective parameters, the paper presents an interactive algorithm to solve the inequality constrained multi-objective programming (MP). The MP is transformed into a single objective optimal problem (SOOP) with inequality constrains; and it is proved that, under some conditions, an optimal solution to SOOP is a Pareto efficient solution to MP. Then, an i...

'Hang On a Minute': Investigations on the Effects of Delayed Objective Functions in Multiobjective Optimization

Duality for multiobjective optimization problems with convex objective functions and D.C. constraints

In this paper we provide a duality theory for multiobjective optimization problems with convex objective functions and finitely many D.C. constraints. In order to do this, we study first the duality for a scalar convex optimization problem with inequality constraints defined by extended real-valued convex functions. For a family of multiobjective problems associated to the initial one we determ...

Objective Reduction in Evolutionary Multiobjective Optimization

Many-objective problems represent a major challenge in the field of evolutionary multiobjective optimization—in terms of search efficiency, computational cost, decision making, visualization, and so on. This leads to various research questions, in particular whether certain objectives can be omitted in order to overcome or at least diminish the difficulties that arise when many, that is, more t...

Note on Combinatorial Optimization with Max-Linear Objective Functions

Chung, S.-J., H.W. Hamacher, F. Maffioli and K.G. Murty, Note on combinatorial optimization with max-linear objective functions, Discrete Applied Mathematics 42 (1993) 139-145. We consider combinatorial optimization problems with a feasible solution set SC(O,I )” specified by a system of linear constraints in O-l variables. Additionally, several cost functions c,,., ,,c~ are given. The max-line...