Genetic Algorithms is a new developed quantitative method used in management decision support; it’s an Artificial intelligence technique that simulates scientific explanations in genetics and natural evolution for getting an optimal solution population. Thus this study aims to recognize Genetic Algorithms including: definition, properties, basic elements and steps. Then we try to employ it in practical study. A local Mill shapes a suitable case to use Genetic Algorithms in Integer Programming as one of its application forms. After using Evolver software, and making a comparison with Branch and Bound method, we have got results around this case. At last we have concluded the efficiency of Genetic Algorithms in Integer Programming, and its su...