Optimization problems

Optimization is a process that aims to find the best, most favorable, or most optimized solution for a given problem. This process includes the use of mathematical techniques, algorithms and specialized methods to identify the values of the variables that minimize, or maximize a certain function, which is called an objective function. The use of these methods helps to find valid and efficient solutions for optimization problems, bringing significant benefits in many areas of life and industry. The main goal of optimization is to identify the best or most favorable solution in the context of a given problem. Optimization problems are present in many fields of life and sciences such as: engineering and design, transportation and logistics, artificial intelligence and machine learning, energy and natural resources, network management and telecommunications, sciences and environment, robotics and automation, economics , informatics, biology, statistics, finance, social sciences, genetic algorithms, metaheuristics, etc. To solve optimization problems, specialized optimization algorithms and methods are used, including browsing algorithms, linear programming, genetic algorithms, clustering methods and many others. etc. These algorithms help in finding valid and efficient solutions for various optimization problems. In this paper, we will deal with some different problems from the real daily life of society. In solving such practical problems, the most important problem is often converting them into mathematical optimization problems by constructing a function that must be maximized or minimized