Aug 18, 2009 · In this paper, we derive a lower bound of \Omega (n\log n) for the complexity of computing the hypervolume indicator in any number of dimensions ...

Of major importance among these is the hypervolume indicator whose computational complexity is analyzed in this paper. Without loss of generality, we consider ...

In this paper, we derive a lower bound of Omega(n log n) for the complexity of computing the hypervolume indicator in any number of dimensions d > 1 by reducing ...

Recent results show that computing the hypervolume indicator can be seen as solving a specialized version of Klee's Measure Problem. In general, Klee's Measure ...

Sep 30, 2009 · Abstract—The goal of multiobjective optimization is to find a set of best compromise solutions for typically conflicting objectives.

On the complexity of computing the hypervolume indicator. Authors. Nicola Beume · Carlos M. Fonseca · Manuel López-Ibáñez · Luis Paquete · Jan Vahrenhold ...

Abstract. The goal of multi-objective optimization is to find a set of best compromise solutions for typically conflicting objectives.

Recent results show that computing the hypervolume indicator can be seen as solving a specialized version of Klee s Measure Problem. In general, Klee s Measure ...

In this paper we discuss properties of the gradient of the hypervolume indicator at vectors that represent approximation sets to the Pareto front.

May 1, 2020 · This paper discusses the computation of hypervolume-related problems, highlighting the relations between them, providing an overview of the paradigms and ...