Comparative Analysis of Formulas Used to Calculate the Size of the Random Sample

The research aims to develop some formulas of sample size and characterization and comparison among themselves to determine the best formula of formulas to calculate the sample size and the creation of a modified reflected well on the sample size, in addition to specifying individual gratification I and II for the relevant formulas and mathematical equations can predict the sample size, however the size of the community. The researcher through the study the following results: The results were identical to the formula related to the size and the sample size when consolidation requirements. Sample size did not increase with increasing size of the moral community at first gratification. No moral differences between sample volume according to the size of the community when individual gratification. Moral differences exist between sample size and average total inspection according to the size of the community when individual gratification. We got a mathematical models of the relationship between size and the sample size and the size of the community and the average total inspection. We have developed a comprehensive table gives sample size corresponding to the size of the community can be accessible to researchers to take advantage of it and apply the formulas as long as it originally relied upon certain conditions.

Genetic Algorithms Parameters Effects in Finding Optimal Solution

Scientists nowadays increased their interest in artificial intelligence because of the rapid development in the modern age. This development increased the complexity of systems in order to consent society rapid needs in getting systems of better reliability and high performance. Artificial Intelligence solved many difficult and sticky problems. We are going to define the genetic algorithms(GA) which is one of the artificial intelligence branch because of its ability to solve many complex problems in Different scientific aspects either in computer science[8] or operational research and image processing[7] or social science[9]. In this essay, we used GA to find the maximum value of continuous function within a limited rang to study the effect of some of the most important GA parameters on the performance and accuracy of the results. We noticed the effects of probability of mutation, population size and the number of the repeated operations on the results accuracy and execution time in choosing the Roulette Wheel Selection procedure. After that, we compare between the Roulette Wheel procedure and the Elitism Selection procedure.