Assignment Problem Calculator

The valid input data of assigning $n$ tasks to $n$ workers is in the form of $n\times n$ cost matrix $C$ of nonnegative integer numbers, see Matrix Data Input for more detail of entering matrix data. The element $C_{ij}$ is the cost of assigning task $j$ to worker $i$.

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Online Calculator: Hungarian Method

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Solve an assignment problem online

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.

Fill in the cost matrix ( random cost matrix ):

Don't show the steps of the Hungarian algorithm Maximize the total cost

This is the original cost matrix:

Subtract row minima

Because each row contains a zero, subtracting row minima has no effect.

Subtract column minima

Because each column contains a zero, subtracting column minima has no effect.

Cover all zeros with a minimum number of lines

There are 1 lines required to cover all zeros:

The optimal assignment

Because there are 1 lines required, the zeros cover an optimal assignment:

This corresponds to the following optimal assignment in the original cost matrix:

The optimal value equals 0.

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  1. Solve an assignment problem online

    Solve an assignment problem online. 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. Fill in the cost matrix (random cost matrix):

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  3. Assignment Problem Calculator

    Assignment Problem Calculator. This application solves the assignment problem using the Hungarian algorithm. The linear assigment problems with the objecttive of maximizing profit or minimizing cost can be solved with this calculator. For example, you want to hire three workers to do three tasks. The cost/task of the workers is shown in the ...

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    Hungarian algorithm is used for the optimal assignment of jobs to workers in one-to-one manner and to reduce the cost of the assignment. In this calculator, you can solve the work assignment problem with the hungarian algorithm.

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    The assignment problem. 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. Read more on the assignment problem

  9. Solve the assignment problem online

    Solve an assignment problem online. 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. Fill in the cost matrix (random cost matrix):

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