What is the assignment problem, and how is it formulated in Operations Research?
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The assignment problem is a classic optimization problem in Operations Research that involves assigning a set of resources (e.g., agents, workers, machines) to a set of tasks (e.g., jobs, routes, projects) such that the total cost is minimized (or the total profit is maximized) while satisfying specific constraints. It is a special case of the transportation problem and is widely used in logistics, scheduling, and resource allocation.
The assignment problem is a classic optimization problem in Operations Research that involves assigning a set of resources (e.g., agents, workers, machines) to a set of tasks (e.g., jobs, routes, projects) such that the total cost is minimized (or the total profit is maximized) while satisfying specific constraints. It is a special case of the transportation problem and is widely used in logistics, scheduling, and resource allocation