# The Hungarian Method For The Assignment Problem In row A, the smallest value is 13, row B is 15, row C is 17 and row D is 12.The row wise reduced matrix is shown in table below.

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You want to assign the employees to jobs in such a way that the overall cost is minimized.

This is an example of an assignment problem that we can use the Hungarian Algorithm to solve.

Write down the assignment results and find the minimum cost/time.

Note: While assigning, if there is no single zero exists in the row or column, choose any one zero and assign it.

An assignment problem can be easily solved by applying Hungarian method which consists of two phases.

In the first phase, row reductions and column reductions are carried out.The assignment costs for dummy cells are always assigned as zero.Select the smallest element of the whole matrix, which is NOT COVERED by lines.Now take out any dummy rows or columns that you added.The zeros in the final matrix correspond to the ideal assignment in the original matrix.Once we've done this, we make sure the number of rows equals the number of columns by adding dummy columns or rows with entries equal to the largest cost in the entire matrix.After we've got our square matrix, the steps of the algorithm are as follows: Once you can stop the algorithm, choose a set of zeros such that each row and column only has one zero selected.But the cost will remain the same for different sets of allocations.Reduce the matrix by selecting the smallest value in each row and subtracting from other values in that corresponding row.Subtract 3 from all other values that are not covered and add 3 at the intersection of lines. Here in table minimum number of lines drawn is 4 which are equal to the order of matrix. Strike off remaining zeros if any in that row or column. As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.

## Comments The Hungarian Method For The Assignment Problem

• ###### Using the Hungarian Algorithm to Solve Assignment Problems
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Review how to use the Hungarian Algorithm for assignment problems in this quiz and worksheet. You can even print out the worksheet and pair it with.…

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Printed in Great Britain 0305-0548/97 \$17.00+0.00 A NEW ALGORITHM FOR THE ASSIGNMENT PROBLEM AN ALTERNATIVE TO THE HUNGARIAN METHOD Ping Ji,ltl W. B. Lee'and Hongyu Li~ Department of Manufacturing Engineering, The Hong Kong Polytechnic University, Hung Horn, Kowloon, Hong Kong ' Department of Decision Sciences, National University of.…

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Topcoder is a crowdsourcing marketplace that connects businesses with hard-to-find expertise. The Topcoder Community includes more than one million of the world’s top designers, developers, data scientists, and algorithmists.…

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Kuhn H. W. 2010 The Hungarian Method for the Assignment Problem. In Jünger M. et al. eds 50 Years of Integer Programming 1958-2008. Springer, Berlin, Heidelberg…

• ###### The Assignment Model and The Hungarian Method
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The assignment problem will be solved by the Hungarian method. Step 1. For the original cost matrix, identify each row's minimum, and subtract it from all the entries of the row. Step 2. For the matrix resulting from step 1, identify each column's minimum, and subtract it from all the entries of the column. Step 3. Identify the optimal.…

• ###### A new algorithm for the assignment problem - edu
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Attention to the assignment problem even though the ideas of this paper have extensions to more general problems. It seems that the currently most popular solution methods for the assignment problem are specialized forms of the simplex method 3-5 and versions of Kuhn's Hungarian method 6--8. There has been some controversy regarding the…

• ###### Assgnment=hungarian method - SlideShare
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In this lesson we will study such problems.62.2 OBJECTIVES After completion of this lesson you will be able to formulate the assignment problem know Hungarian method to find proper assignment employ Hungarian method to find proper assignment 2.…

• ###### Assignment problem hungarian method maximization pdf
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Assignment problem hungarian method maximization pdf. A la vanguardia de la tecnología Diseño e Impresión 3D de prótesis dentales. Tu prótesis dental en el acto.…