Examples of Continuous Optimization

  • Jonas Mockus
  • William Eddy
  • Audris Mockus
  • Linas Mockus
  • Gintaras Reklaitis
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 17)

Abstract

Many examples of applications are related to the optimization of parameters of mathematical models represented as systems of non-linear differential equations. The objective function f(x) depends on the solution of equations. Variables x represent controlled parameters of the system. The three following examples:
  • maximization of the general yield of differential amplifiers (see Section 5.2),

  • optimization of the mechanical system of shock-absorber (see Section 5.3),

  • estimation of the parameters of non-linear regression of an immunological model (see Section 5.4),

belong to such a family of problems The last example suggests a broad area for applications of global optimization. It is well known that in non-linear regression square deviation as well as a likelihood function could be multi-modal one for some data. The number of local minima may be very large, even in simple cases. An example is
  • estimation of unknown parameters of bilinear time series (see Section 5.5).

Keywords

Global Optimization Composite Laminate Differential Amplifier Fiber Orientation Angle Coordinate Optimization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Jonas Mockus
    • 1
    • 2
    • 3
  • William Eddy
    • 4
  • Audris Mockus
    • 5
  • Linas Mockus
    • 6
  • Gintaras Reklaitis
    • 6
  1. 1.Institute of Mathematics and InformaticsKaunas Technological UniversityVilniusLithuania
  2. 2.Vytautas Magnus UniversityVilniusLithuania
  3. 3.Vilnius Technical UniversityVilniusLithuania
  4. 4.Department of StatisticsCarnegie-Mellon UniversityPittsburghUSA
  5. 5.Lucent Technologies AT&T Bell LaboratoriesPittsburghUSA
  6. 6.School of Chemical EngineeringPurdue UniversityW. LafayetteUSA

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