# Assignment problem hungarian algorithm

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## Assignment problem hungarian algorithm

Solve an assignment problem online. mastering payroll homework solutions. fill in the cost matrix of an assignment problem and click on ' solve'. the optimal assignment will be determined and a step by step explanation of the hungarian algorithm will be given. hungarian algorithm for assignment problem | set 1 ( assignment problem hungarian algorithm 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. the hungarian method: the following algorithm applies the above theorem to a given n × n cost matrix to ﬁnd an optimal assignment. subtract the smallest entry in each row from all the entries of its. this is a minimization example of assignment problem. hungarian we will use the hungarian algorithm to solve this problem. identify the minimum element in each row and subtract it from every element of that problem row.

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### Paula Morenza

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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. the assignment problem is a fundamental combinatorial optimization problem. it 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.
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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 methods. it 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.
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the hungarian algorithm: an example.

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• we consider an example where four jobs ( j1, j2, j3, and j4) need to be executed by four workers ( w1, w2, w3, and w4), one job per worker. the matrix below shows the cost of assigning a certain worker to a certain job.
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the objective is to minimize the total cost of the assignment.

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