Which is the best description of the assignment problem?
Mia Phillips
Updated on February 08, 2026
Alternatively, describing the problem using graph theory: The assignment problem consists of finding, in a weighted bipartite graph, a matching of a given size, in which the sum of weights of the edges is a minimum. If the numbers of agents and tasks are equal, then the problem is called balanced assignment.
How is the assignment problem a combinatorial optimization problem?
The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has a number of agents and a number of tasks. Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent-task assignment.
How to write effective learning objectives in Bloom?
By the end of this lesson, the student will be able to calculate the kinetic energy of a projectile. describe, explain, paraphrase, restate, give original examples of, summarize, contrast, interpret, discuss. list, recite, outline, define, name, match, quote, recall, identify, label, recognize.
How to reduce an assignment to a balanced assignment?
The goal is to find a minimum-cost matching of size exactly s. The most common case is the case in which the graph admits a one-sided-perfect matching (i.e., a matching of size r ), and s = r . Unbalanced assignment can be reduced to a balanced assignment. The naive reduction is to add
When is an assignment problem called an unbalanced assignment?
Otherwise, it is called unbalanced assignment. If the total cost of the assignment for all tasks is equal to the sum of the costs for each agent (or the sum of the costs for each task, which is the same thing in this case), then the problem is called linear assignment.
What should be included in an instructional objective?
When writing instructional objectives, there are certain things you must know about your instructional goal. One is what type of learning the student will be engaged in while working towards the goal.