local search problem

Local search problem refers to a type of optimization problem in which the goal is to find the best solution within a defined search space by iteratively improving upon a given solution. In local search, a current solution is modified to produce a new solution, and this process is repeated until no further improvements can be made.

The key characteristic of local search problems is that they do not involve an exhaustive search of the entire solution space; rather, they focus on exploring only the solutions that are close to the current solution. This makes local search algorithms particularly useful for large and complex optimization problems where an exhaustive search is not feasible.

Examples of local search problems include the traveling salesman problem, the vehicle routing problem, and the job scheduling problem. In all of these examples, the goal is to find the optimal solution within a given search space by iteratively improving upon a current solution.