Solution of a Class of Optimization Problems Based on Hyperbolic Penalty Dynamic Framework

• Authors: F. Evirgen
• Languages of publication: EN

Abstracts

EN

In this study, a gradient-based dynamic system is constructed in order to solve a certain class of optimization problems. For this purpose, the hyperbolic penalty function is used. Firstly, the constrained optimization problem is replaced with an equivalent unconstrained optimization problem via the hyperbolic penalty function. Thereafter, the nonlinear dynamic model is defined by using the derivative of the unconstrained optimization problem with respect to decision variables. To solve the resulting differential system, a steepest descent search technique is used. Finally, some numerical examples are presented for illustrating the performance of the nonlinear hyperbolic penalty dynamic system.

Keywords

EN

02.60.Pn; 02.70.-c; 02.30.Hq

Discipline

• 02.70.-c: Computational techniques; simulations(for quantum computation, see 03.67.Lx; for computational techniques extensively used in subdivisions of physics, see the appropriate section; for example, see 47.11.-j Computational methods in fluid dynamics)
• 02.30.Hq: Ordinary differential equations
• 02.60.Pn: Numerical optimization

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 3
• Pages: 1062-1065

Dates

published

2017-09

Contributors

author

F. Evirgen

• Balıkesir University, Department of Mathematics, Balıkesir, Turkey

References

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Identifiers

DOI

10.12693/APhysPolA.132.1062