hungarian-algorithm | 易学教程

Hungarian Algorithm for non square matrix

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问题 I'm trying to implement the Hungarian algorithm. Everything is fine except for when the matrix isn't square. All the methods I've searched are saying that I should make it square by adding dummy rows/columns, and filling the dummy row/column with the maximum number in the matrix. My question is that won't this affect the final result? Shouldn't the dummy row/column be filled with at least max+1? 回答1: The dummy values should all be zero. The point is that it doesn't matter which one you choose

How can I find the minimum number of lines needed to cover all the zeros in a 2 dimensional array?

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问题 I'm trying to make a decent implementation of the hungarian algorithm however I'm stuck at how to find the minimum number of lines that cover all the zeros in an array also I need to know these lines to make some computations later here is the explanation: http://www.ams.jhu.edu/~castello/362/Handouts/hungarian.pdf in step 3 it says Use as few lines as possible to cover all the zeros in the matrix. There is no easy rule to do this - basically trial and error. what does trial and error mean in

Minimum lines for Hungarian Algorithm

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问题 I want to know the minimum number of lines covering all the Zeros for Hungarian Algorithm. Ive followed this link, but the code there is a greedy one. Hungarian Algorithm: How to cover 0 elements with minimum lines? For example, {0,0,1,1}, {1,0,0,1}, {1,0,1,0}, {1,1,1,1}, This case fails. I should get output 3. But the output this solution gives is 4. Any other ways of solving it would be a great help. Thanks 来源： https://stackoverflow.com/questions/19288464/minimum-lines-for-hungarian

Minimum lines for Hungarian Algorithm

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I want to know the minimum number of lines covering all the Zeros for Hungarian Algorithm. Ive followed this link, but the code there is a greedy one. Hungarian Algorithm: How to cover 0 elements with minimum lines? For example, {0,0,1,1}, {1,0,0,1}, {1,0,1,0}, {1,1,1,1}, This case fails. I should get output 3. But the output this solution gives is 4. Any other ways of solving it would be a great help. Thanks 来源： https://stackoverflow.com/questions/19288464/minimum-lines-for-hungarian-algorithm

Can I use the Hungarian algorithm to find max cost?

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问题 The Hungarian algorithm solves the assignment problem in polynomial time. Given workers and tasks, and an n×n matrix containing the cost of assigning each worker to a task, it can find the cost minimizing assignment. I want to find the choice for which cost is max? Can I do it using Hungarian or any similar method? Or this can only be done exponentially? 回答1: Wikipedia says: If the goal is to find the assignment that yields the maximum cost, the problem can be altered to fit the setting by

Can I use the Hungarian algorithm to find max cost?

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The Hungarian algorithm solves the assignment problem in polynomial time. Given workers and tasks, and an n×n matrix containing the cost of assigning each worker to a task, it can find the cost minimizing assignment. I want to find the choice for which cost is max? Can I do it using Hungarian or any similar method? Or this can only be done exponentially? Wikipedia says: If the goal is to find the assignment that yields the maximum cost, the problem can be altered to fit the setting by replacing each cost with the maximum cost subtracted by the cost. So if I understand correctly: among all the

Hungarian Algorithm: How to cover 0 elements with minimum lines?

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I am trying to implement the Hungarian algorithm in Java. I have an NxN cost matrix. I am following this guide step by step. So I have the costMatrix[N][N] and 2 arrays to track covered rows and covered cols - rowCover[N], rowColumn[N] (1 means covered, 0 means uncovered) How can I cover the 0s with the minimum number of lines? Can anyone point me in the right direction? Any help/suggestion would be appreciated. Check the 3rd step of the algorithm in the Wikipedia article (section Matrix Interpretation ) , they explain a way to compute the minimal amount of lines to cover all the 0's Update:

Hungarian Algorithm: How to cover 0 elements with minimum lines?

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问题 I am trying to implement the Hungarian algorithm in Java. I have an NxN cost matrix. I am following this guide step by step. So I have the costMatrix[N][N] and 2 arrays to track covered rows and covered cols - rowCover[N], rowColumn[N] (1 means covered, 0 means uncovered) How can I cover the 0s with the minimum number of lines? Can anyone point me in the right direction? Any help/suggestion would be appreciated. 回答1: Check the 3rd step of the algorithm in the Wikipedia article (section Matrix