Structural and Multidisciplinary Optimization

, Volume 29, Issue 1, pp 50–60

Multi-objective robust optimization using a sensitivity region concept

Research Paper

DOI: 10.1007/s00158-004-0450-8

Cite this article as:
Gunawan, S. & Azarm, S. Struct Multidisc Optim (2005) 29: 50. doi:10.1007/s00158-004-0450-8


In multi-objective design optimization, it is quite desirable to obtain solutions that are “multi-objectively” optimum and insensitive to uncontrollable (noisy) parameter variations. We call such solutions robust Pareto solutions. In this paper we present a method to measure the multi-objective sensitivity of a design alternative, and an approach to use such a measure to obtain multi-objectively robust Pareto optimum solutions. Our sensitivity measure does not require a presumed probability distribution of uncontrollable parameters and does not utilize gradient information; therefore, it is applicable to multi-objective optimization problems that have non-differentiable and/or discontinuous objective functions, and also to problems with large parameter variations. As a demonstration, we apply our robust optimization method to an engineering example, the design of a vibrating platform. We show that the solutions obtained for this example are indeed robust.


multiple objectivesrobust optimizationsensitivity analysis

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of MarylandMarylandUSA