Journal: Lecture Notes in Economics and Mathematical Systems

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Abbreviation

Lect. Notes Econ. Math. Syst.

Publisher

Springer

Journal Volumes

ISSN

0075-8442
2196-9957

Description

Search Results

Publications 1 - 7 of 7
  • Woehrle, Matthias; Brockhoff, Dimo; Hohm, Tim; et al. (2010)
    Lecture Notes in Economics and Mathematical Systems ~ Multiple criteria decision making for sustainable energy and transportation systems: proceedings of the 19th International Conference on Multiple Criteria Decision Making, Auckland, New Zealand, 7th-12th January 2008
  • Rausch, Sebastian (2009)
    Lecture Notes in Economics and Mathematical Systems
  • Bader, Johannes; Deb, Kalyanmoy; Zitzler, Eckart (2010)
    Lecture Notes in Economics and Mathematical Systems ~ Multiple criteria decision making for sustainable energy and transportation systems
  • Zitzler, Eckart; Laumanns, Marco; Bleuler, Stefan (2004)
    Lecture Notes in Economics and Mathematical Systems ~ Metaheuristics for multiobjective optimisation
  • Bader, Johannes; Zitzler, Eckart (2010)
    Lecture Notes in Economics and Mathematical Systems ~ New Developments in Multiple Objective and Goal Programming
    In the field of evolutionary multiobjective optimization, the hypervolume indicator is the only single set quality measure that is known to be strictly monotonic with regard to Pareto dominance. This property is of high interest and relevance for multiobjective search involving a large number of objective functions. However, the high computational effort required for calculating the indicator values has so far prevented to fully exploit the potential of hypervolume-based multiobjective optimization. This paper addresses this issue and proposes a fast search algorithm that uses Monte Carlo sampling to approximate the exact hypervolume values. In detail, we present HypE (Hypervolume Estimation Algorithm for Multiobjective Optimization), by which the accuracy of the estimates and the available computing resources can be traded off; thereby, not only many-objective problems become feasible with hypervolume-based search, but also the runtime can be flexibly adapted. The experimental results indicate that HypE is highly effective for many-objective problems in comparison to existing multiobjective evolutionary algorithms.
  • Koenig, Michael D.; Battiston, Stefano (2009)
    Lecture Notes in Economics and Mathematical Systems ~ Networks, topology and dynamics
  • Schweitzer, Frank; Mach, Robert; Mühlenbein, Heinz (2005)
    Lecture Notes in Economics and Mathematical Systems ~ Nonlinear dynamics and heterogenous interacting agents
Publications 1 - 7 of 7