# Introduction Of Assignment

Though there problems can be solved by simplex method or by transportation method but assignment model gives a simpler approach for these problems.

In a factory, a supervisor may have six workers available and six jobs to fire. Suppose there are n facilitates and n jobs it is clear that in this case, there will be n assignments.

(iii) Step 3, (i) and 3 (ii) are repeated till all the zeros are either marked or crossed out.

Now, if the number of marked zeros or the assignments made are equal to number of rows or columns, optimum solution has been achieved. At this stage, draw the minimum number of lines (horizontal and vertical) necessary to cover all zeros in the matrix obtained in step 3, Following procedure is adopted: (i) Tick mark () all rows that do not have any assignment.

Starting from first column locate the smallest cost element in each column.

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