A Genetic Algorithm for Multiobjective Robust Design

  • Authors:
  • B. Forouraghi

  • Affiliations:
  • Computer Science Department, Saint Joseph's University, 5600 City Ave., Philadelphia, PA 19131. bforoura@sju.edu

  • Venue:
  • Applied Intelligence
  • Year:
  • 2000

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Abstract

The goal of robust design is to develop stableproducts that exhibit minimum sensitivity to uncontrollablevariations. The main drawback of many quality engineeringapproaches, including Taguchi's ideology, is that they cannotefficiently handle presence of several often conflicting objectivesand constraints that occur in various design environments.Classical vector optimization and multiobjective genetic algorithmsoffer numerous techniques for simultaneous optimization of multipleresponses, but they have not addressed the central quality controlactivities of tolerance design and parameter optimization. Due totheir ability to search populations of candidate designs in parallelwithout assumptions of continuity, unimodality or convexity ofunderlying objectives, genetic algorithms are an especially viabletool for off-line quality control.In this paper we introduce a new methodology which integrates keyconcepts from diverse fields of robust design, multiobjectiveoptimization and genetic algorithms. The genetic algorithm developedin this work applies natural genetic operators of reproduction,crossover and mutation to evolve populations of hyper-rectangulardesign regions while simultaneously reducing the sensitivity of thegenerated designs to uncontrollable variations. The improvement inquality of successive generations of designs is achieved byconducting orthogonal array experiments as to increase the averagesignal-to-noise ratio of a pool of candidate designs from onegeneration to the next.