Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

A note on the optimization of constrained design problems

  • 52 Accesses

  • 1 Citations


This paper describes a new algorithm for solving constrained optimization problems, based on a method proposed by Chattopadhyay. The proposed algorithm replaces the original problem withm constraints,m>1, by a sequence of optimization problems, with one constraint. Here, we modify the algorithm given by Chattopadhyay in order to make it applicable for a larger class of optimization problems and to improve its convergence characteristics.

This is a preview of subscription content, log in to check access.


  1. 1.

    Chattopadhyay, R.,Optimization in Engineering Design, Journal of Optimization Theory and Applications, Vol. 9, No. 3, 1972.

  2. 2.

    Fiacco, A. V., andMcCormick, G. P.,The Sequential Unconstrained Minimization Technique for Non-linear Programming, a Primal-Dual Method, Management Sciences, Vol. 10, pp. 360–364, 1964.

  3. 3.

    Zangwill, W. I.,Non-linear Programming Via Penalty Functions, Management Sciences, Vol. 13, pp. 344–358, 1967.

  4. 4.

    Hestenes, M. R.,Multiplier and Gradient Methods, Journal of Optimization Theory and Applications, Vol. 4, No. 5, 1969.

  5. 5.

    Chattopadhyay, R.,A Study of Test Functions for Optimization Algorithms, Journal of Optimization Theory and Applications, Vol. 8, No. 3, 1971.

Download references

Author information

Additional information

Partial support from the Graduate School of the University of Minnesota is gratefully acknowledged.

Communicated by D. G. Luenberger

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Stephanopoulos, G. A note on the optimization of constrained design problems. J Optim Theory Appl 17, 337–342 (1975). https://doi.org/10.1007/BF00933883

Download citation

Key Words

  • Bounds on cost functionals
  • engineering design
  • inequality constraints
  • mathematical programming
  • penalty-function methods