The weighted sum method for multi-objective optimization: new insights

We investigate the fundamental significance of the weights in terms of preferences, the Pareto optimal set, and objective-function values

R. Timothy Marler

2009

Key concepts

Scholarcy highlights

  • As a common concept in multi-objective optimization, minimizing a weighted sum constitutes an independent method as well as a component of other methods
  • Despite the many published applications for this method and the literature addressing its pitfalls with respect to depicting the Pareto optimal set, there is little comprehensive discussion concerning the conceptual significance of the weights and techniques for maximizing the effectiveness of the method with respect to a priori articulation of preferences
  • Fundamental deficiencies are identified in terms of a priori articulation of preferences, and guidelines are provided to help avoid blind use of the method

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