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math.OC2019
Simpliciality of strongly convex problems
Naoki Hamada, Shunsuke Ichiki
A multiobjective optimization problem is simplicial if the Pareto set and the Pareto front are diffeomorphic to a simplex and, under the diffeomorphisms, each fac…
math.OC2019
Characterization of the equality of weak efficiency and efficiency on convex free disposal hulls
Naoki Hamada, Shunsuke Ichiki
In solving a multi-objective optimization problem by scalarization techniques, solutions to a scalarized problem are, in general, weakly efficient rather than efficient to the orig…
math.OC2019★ 1 cited
Topology of Pareto sets of strongly convex problems
Naoki Hamada, Kenta Hayano, Shunsuke Ichiki +2
A multiobjective optimization problem is simplicial if the Pareto set and front are homeomorphic to a simplex and, under the homeomorphisms, each face of the simplex corresponds to…