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The assignment model in operations research is used to optimally allocate resources to tasks to minimize costs or maximize efficiency, formulated by defining costs associated with assigning resources to tasks, establishing constraints for each resource and task, and using methods like the Hungarian algorithm to find the optimal assignment that satisfies all requirements.
The Operations Research Assignment Model allocates tasks to agents using a cost matrix, where each cell reflects the cost or profit of an assignment. The objective is to minimize total costs or maximize profits, ensuring each task is assigned to one agent and vice versa. Algorithms like the Hungarian Method are used to find the optimal assignments by systematically refining potential solutions. This model is effective in areas such as logistics and scheduling, promoting efficient resource allocation.