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On the optimal design centering, tolerancing, and tuning problem

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Abstract

In this note, we point out an erroneous result appearing in the literature on the optimal design centering, tolerancing, and tuning problem. Using the same framework of outer approximations, we then suggest alternate approaches to the solution of this problem, including a special-purpose subalgorithm.

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References

  1. Polak, E.,An Implementable Algorithm for the Optimal Design Centering, Tolerancing, and Tuning Problem, Journal of Optimization Theory and Applications, Vol. 37, No. 1, 1982.

  2. Gonzaga, C., andPolak, E.,On Constraint Dropping Schemes and Optimality Functions for a Class of Outer-Approximation Algorithms, SIAM Journal on Control and Optimization, Vol. 17, No. 4, 1979.

  3. Polak, E., andSangiovanni-Vincentelli, A.,Theoretical and Computational Aspects of the Optimal Design Centering, Tolerancing, and Tuning Problem, IEEE Transactions on Circuits and Systems, Vol. CAS-29, No. 9, 1979.

  4. Polak, E., Mayne, D. Q., andWardi, Y. Y.,On the Extension of Constrained Optimization Algorithms from Differentiable to Nondifferentiable Problems, SIAM Journal on Control and Optimization, Vol. 21, No. 2, 1983.

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Communicated by D. Q. Mayne

This research was supported by the National Science Foundation, Grant No. ECS-82-04452. The author wishes to thank Dr. E. Polak for his helpful comments.

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Tits, A.L. On the optimal design centering, tolerancing, and tuning problem. J Optim Theory Appl 45, 487–494 (1985). https://doi.org/10.1007/BF00938449

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  • DOI: https://doi.org/10.1007/BF00938449

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