Question 2: What is the purpose of the Particle Swarm Optimization (PSO) algorithm? What are the main equations in the algorithm? Explain the meaning of each variable in the PSO equation. List/explain the steps in PSO? What are the advantages and disadvantages of the algorithm? Give an example where using a greedy algorithm would fail but PSO may work?

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Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.