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:

5560410
99935260
7469437
78528630

Subtract row minima

We subtract the row minimum from each row:

515606(-4)
474108(-52)
6762360(-7)
4822560(-30)

Subtract column minima

We subtract the column minimum from each column:

43406
01908
2040360
10560
(-47)(-22)

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:

5560410
99935260
7469437
78528630

The optimal value equals 162.

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