Concave minimization via conical partitions and polyhedral outer approximation
Mathematical Programming: Series A and B
Minimization of a quasi-concave function over an efficient set
Mathematical Programming: Series A and B
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)
Numerical solution for optimization over the efficient set by d.c. optimization algorithms
Operations Research Letters
Journal of Optimization Theory and Applications
Optimization over the efficient set: overview
Journal of Global Optimization
Criteria and dimension reduction of linear multiple criteria optimization problems
Journal of Global Optimization
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The problem of optimizing some contiuous function over the efficient set of a multiple objective programming problem can be formulated as a nonconvex global optimization problem with special structure. Based on the conical branch and bound algorithm in global optimization, we establish an algorithm for optimizing over efficient sets and discuss about the implementation of this algorithm for some interesting special cases including the case of biobjective programming problems.