Demonstrating the Applicability of PAINT to Computationally Expensive Real-life Multiobjective Optimization

Abstract

We demonstrate the applicability of a new PAINT method to speed up iterations of interactive methods in multiobjective optimization. As our test case, we solve a computationally expensive non-linear, five-objective problem of designing and operating a wastewater treatment plant. The PAINT method interpolates between a given set of Pareto optimal outcomes and constructs a computationally inexpensive mixed integer linear surrogate problem for the original problem. We develop an IND-NIMBUS R PAINT module to combine the interactive NIMBUS method and the PAINT method and to find a preferred solution to the original problem. With the PAINT method, the solution process with the NIMBUS method take a comparatively short time even though the original problem is computationally expensive.

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Showing 1-10 of 42 references

Interactive Multiobjective Optimization in Wastewater Treatment Plant Operation and Design

  • K Sahlstedt, J Hakanen, K Miettinen
  • 2010
Highly Influential
5 Excerpts

Octave Home Page. url = www.gnu.org/software/octave/, Last accessed

  • 2011

PAINT: An Interpolation Method for Computationally Expensive Multiobjective Optimization Problems

  • M Hartikainen, K Miettinen, M M Wiecek
  • 2011
2 Excerpts

Pareto Front Approximations for Decision Making with Inherent Non-dominance

  • M Hartikainen, K Miettinen, M M Wiecek
  • 2011
2 Excerpts