# Assignment Problem Algorithm

Because each worker has different skills, the time required to perform a job depends on the worker who is assigned to it.The matrix below shows the time required (in minutes) for each combination of a worker and a job.

Assume for example that we have four jobs that need to be executed by four workers.The assignment problem deals with assigning machines to tasks, workers to jobs, soccer players to positions, and so on.The goal is to determine the optimum assignment that, for example, minimizes the total cost or maximizes the team effectiveness.And we might naturally just go with Susan, since she’s giving us the best overall price.However, another solution might be to break down what we need done into individual items.Naturally, you go out and get quotes on remodeling and repairing what needs to be done.Let’s assume the four quotes you received look like this: This would seem pretty reasonable, all things considered.Now, we will subtract the lowest value, which we’ve converted to zero, from the remaining column values.Here, I’ve updated column 1, subtracting the lowest value, 70, from the remaining column values, leaving us with 15, 30, and 80: Now, we’ll notice that each column contains a zero.All other assignments lead to a larger amount of time required.The Hungarian algorithm can be used to find this optimal assignment.

## Comments Assignment Problem Algorithm

• ###### Hungarian Algorithm for Assignment Problem Set 1 Introduction.
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Hungarian Algorithm for Assignment Problem Set 1 Introduction Let there be n agents and n tasks. Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent-task assignment.…

• ###### Hungarian algorithm - Wikipedia
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The Hungarian method is a combinatorial optimization algorithm that solves the assignment problem in polynomial time and which anticipated later primal-dual was developed and published in 1955 by Harold Kuhn, who gave the name "Hungarian method" because the algorithm was largely based on the earlier works of two Hungarian mathematicians Dénes Kőnig and Jenő Egerváry.…

• ###### The Assignment Problem and the Hungarian Method
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The Hungarian Method The following algorithm applies the above theorem to a given n × n cost matrix to ﬁnd an optimal assignment. Step 1. Subtract the smallest entry in each row from all the entries of its…

• ###### Job Assignment Problem using Branch And Bound -
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Solution 2 Hungarian Algorithm The optimal assignment can be found using the Hungarian algorithm. The Hungarian algorithm has worst case run-time complexity of On^3. Solution 3 DFS/BFS on state space tree A state space tree is a N-ary tree with property that any path from root to leaf node holds one of many solutions to given problem.…

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Topcoder is a crowdsourcing marketplace that connects businesses with hard-to-find expertise. The Topcoder Community includes more than one million of the world’s top designers, developers, data scientists, and algorithmists.…

• ###### Assignment ProblemEasy Steps to solve -
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Here is the video about assignment problem - Hungarian method on Operations research, In this video we discussed what is assignment problem and how to solve using Hungarian method with step by.…

• ###### Using the Hungarian Algorithm to Solve Assignment Problems
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The Hungarian Algorithm is used to find the minimum cost in assignment problems that involve assigning people to activities. To use this algorithm, we start by organizing our data into a matrix.…

• ###### Lec-16 Assignment Problem - Hungarian Algorithm - YouTube
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Lecture Series on Fundamentals of Operations Research by Prof. G. Srinivasan, Department of Management Studies, IIT Madras. For more details on NPTEL visit htt.…

• ###### Assignment problem - Wikipedia
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The assignment problem is a special case of the transportation problem, which is a special case of the minimum cost flow problem, which in turn is a special case of a linear program. While it is possible to solve any of these problems using the simplex algorithm, each specialization has more efficient algorithms designed to take advantage of.…