Solve Assignment Problem Online Students

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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):

Size: 3x34x45x56x67x78x89x910x10

This is the original cost matrix:


Subtract row minima

We subtract the row minimum from each row:


Subtract column minima

We subtract the column minimum from each column:


Cover all zeros with a minimum number of lines

There are 4 lines required to cover all zeros:

43406  x
01908  x
2040360  x
10560  x

The optimal assignment

Because there are 4 lines required, the zeros cover an optimal assignment:

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


The optimal value equals 162.

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