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penalty function

   Also found in: Wikipedia 0.01 sec.
penalty function [′pen·əl·tē ‚fəŋk·shən]
(mathematics)
A function used in treating maxima and minima problems subject to constraints.


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Some areas studied include a mathematical-model approach to chlamydial infection in Japan, time-inhomogeneous Markov chains and ergodicity arising from nonlinear dynamic systems and optimization, solutions to open problems in n-dimensional fluid dynamics, exact penalty functions for constrained optimization problems, and the development of Lyapunov's direct method in the application to new types of problems of hydrodynamic stability theory.
In the optimization environment, the TDL is enforced through the use of a penalty function associated with violating the TDL.
Genetic Algorithm may lead to evaluation of individuals which have undesirable properties such as violating the constraints [21], and since GA's are basically unconstrained search procedures in the given problem domain [22], any constraints associated with the problem could be incorporated into the objective function as penalty functions.
 
 
 
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