Research on Models Based on Greedy Algorithms, Dynamic Programming Algorithms and Grid Discretization Algorithms

This study examines the use of greedy algorithms, dynamic programming algorithms, and lattice discretization algorithms for solving optimal solutions in practical scientific and engineering optimization problems. These three types of algorithms currently play a crucial role in many fields, and can be used to solve various problems such as parameter tuning, finding the optimal solution, and simplify complex real-world problems in order to improve the efficiency of real-world engineering, reduce the use of unnecessary computational resources, shorten the engineering time, and increase the accuracy of classification or measurement of engineering quantities. Greedy algorithms and dynamic programming algorithms solve for the optimal solution inside the feasible solution range. These two algorithms can be based on permutation, combination, iteration, or other strategies, suitable for power scheduling problems, unmanned aerial vehicle path planning problems, and so on. Grid discretization algorithms are mainly used for optimization problems in continuous feasible domains, the optimal solutions in continuous intervals are often difficult to find, while grid discretization algorithms are just able to transform continuous intervals into discrete lattice intervals, so as to find out the optimal solutions of the actual problems, which is applicable to problems such as geological numerical modeling, numerical simulation and analysis of fluids, and so on. The significance of greedy algorithms, dynamic programming algorithms, and grid discretization algorithms in the fields of engineering and science lies in solving complex optimization problems, providing the best decision-making solutions, making the allocation as well as the use of resources more efficient and effective, which can drive the development of science, engineering and other fields. Greedy algorithms, dynamic programming algorithms, and grid discretization algorithms provide important tools and methods for solving real-world problems.