Similar words: utility function, density function, ambiguity function, polyfunctional, functional test, functional testing, copy function, bodily function.

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1. A genetic algorithm optimization procedurecombined with the dynamic penalty function is adopted. The constraint conditions areapproximated gradually to find the feasible and optimum solutions.
2. And a dynamic penalty function method is used to solve the optimization with non - linear constrains . 4.
3. The penalty function method is applied for finding the unknown boundary.
4. For other constraints, by means of penalty function the augmented objective function is formed.
5. In the Genetic Algorithm, penalty function is often used to deal with constrains.
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6. Listed here point penalty function method within the six subroutines.
7. Moreover the choice of penalty function in line search is difficult.
8. For the model, the Inner Penalty Function + Powell algorithm is put into use.
9. The genetic algorithm , which combined with penalty function method, improved the local - search properties.
10. To the nonconvex programming, the article makes it local convexification by introducing a simple penalty function into the objective function, and solves it like solving convex programming.
11. By the strong Markov property of the surplus process, we derive the expected discounted penalty function.
12. Based on the factor of self-adaptive weight sum and self-adaptive penalty function, a self-adaptive genetic algorithm is proposed and applied to solve multi-objective reactive power optimization.
13. Therefore, this paper's main task is to improve the structure of the traditional penalty function and turn the optimization function into accurate and smooth type.
14. Propose a sufficient and necessary condition of solutions via an exact penalty function approach.
15. At first, we get the integro-differential equation satisfied by the expected discounted penalty function by using the method of renewal, and hence Laplace transform of it is derived.
16. The risk process described by piecewise deterministic Markov processes is considered. By the strong Markov property of the surplus process, we derive the expected discounted penalty function.
17. On consideration of the search characteristics of particle swarmabr. PSO , penalty function is assigned dynamically.
18. I particularly points out that this descending dimension Lagrange multiplier algorithm improves penalty function algorithm and advance accuracy to a certain degree.
19. In order to decrease the complexity of the model, penalty function algorithm is used to remove one constraint, then modified simulation anne aling(SA) algorithm is used to solve the model.
20. Results of optimization are discussed and compared with that of mixed penalty function algorithm.
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