TY  - JOUR
T1  - Determining Maximum Value and Optimizing a
Bivariate Function Using Genetic Algorithm
AU - Shokuhi, Taherh AU - Pazand, Majid AU - Hamidi, Nasrin 
JO  - Research Journal of Applied Sciences
VL  - 11
IS  - 12
SP  - 1445
EP  - 1449
PY  - 2016
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2016.1445.1449
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2016.1445.1449
KW  - Reproduction
KW  -bivariate function
KW  -single-variable function
KW  -schema
KW  -mutation coefficient
AB  - Now a days, obtaining the extermum points of functions are important in optimization. One of the used methods for optimization and finding extermum points of functions is genetic algorithm. This study has introduced genetic algorithm briefly and used this method to examine maximum points of function: F = t<sup>2</sup>+&beta;&times;E<sup>2</sup> within interval of variables t&lt;63 and E&lt;63. This process is done based on two assumption of $ = 0 and $ = 1. The obtained results are used to find maximum points. To assurance of output results of genetic algorithm, differentiation method was used to find maximum point of function in considered function. The obtained results indicate that output of this method is equal to output of genetic algorithm method. In the following part of study, the effect of mutation is examined on process of obtaining results of genetic algorithm. The next step includes using a set of schema to speeding up the convergence. The obtained results indicate that this action would considerably speeds up the convergence.
ER  -