Skip to main content
Log in

Solving a class of multiplicative programming problems via c-programming

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

In this note we show that many classes of global optimization problems can be treated most satisfactorily by classical optimization theory and conventional algorithms. We focus on the class of problems involving the minimization of the product of several convex functions on a convex set which was studied recently by Kunoet al. [3]. It is shown that these problems are typical composite concave programming problems and thus can be handled elegantly by c-programming [4]–[8] and its techniques.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Avriel, M. (1976),Nonlinear Programming: Analysis and Methods, Prentice-Hall, Englewood Cliffs, NJ.

    Google Scholar 

  2. Bazaraa, M.S., Jarvis J.J., and Sherali H.D. (1990),Linear Programming and Network Flows, Second Edition, Wiley, NY.

    Google Scholar 

  3. Kuno T., Yajima Y., and Konno H. (1993), An Outer Approximation Method for Minimizing the Product of Several Convex Functions on a Convex Set,Journal of Global Optimization 3, 325–335.

    Google Scholar 

  4. Sniedovich M. (1986), C-programming and the Optimization of Pseudolinear and Additive Concave Functions,Operations Research Lettters 5(4), 185–189.

    Google Scholar 

  5. Sniedovich, M. (1988), Fractional Programming Revisited,European Journal of Operational Research 33(3) 334–341.

    Google Scholar 

  6. Sniedovich, M. (1989), Analysis of a Class of Fractional Programming Problems,Mathematical Programming 43, 329–347.

    Google Scholar 

  7. Sniedovich, M. (1992),Dynamic Programming, Marcel Dekker, New York, 1992.

    Google Scholar 

  8. Sniedovich, M., Macalalag E., and Findlay S. (1994), The Simplex Algorithm as a Global Optimizer: a C-Programming Perspective,Journal of Global Optimization,4(1), 89–109.

    Google Scholar 

  9. Steuer, R.E. (1989),Multiple Criteria Optimization: Theory, Computation, and Application, Krieger Publishing Company, Malabar, Florida.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sniedovich, M., Findlay, S. Solving a class of multiplicative programming problems via c-programming. J Glob Optim 6, 313–319 (1995). https://doi.org/10.1007/BF01099467

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099467

Key words

Navigation