The Hungarian Method can also solve such assignment problems, as it is easy to obtain an equivalent minimization problem by converting every number in the matrix to an opportunity loss. The conversion is accomplished by subtracting all the elements of the given matrix from the …
Assignment problems
If the given matrix is not a square matrix, the assignment problem is called an unbalanced problem. In such type of problems, add dummy row (s) or column (s) with the cost elements as zero to convert the matrix as a square matrix. …
UNIT 5 ASSIGNMENT PROBLEMS
maximisation problem, unbalanced assignment problem, alternative optimal solutions and restriction on assignments; and solve the travelling salesman problem as an assignment problem.
Solving the Unbalanced Assignment Problem: Simpler Is Better
two dummy jobs to create a 10 by 10 balanced assignment problem. In a textbook, this problem would usually be solved with the Hungarian method, but other solution approaches are …
1) If N=n , the number of rows ( column ) of the given matrix then an optimal assignment can be made. So make the zero assignment to get the required solution. 2) If N (less then) n , then go...
Assignment problem : Unbalanced and maximal Assignment …
19.2 Maximal Assignment Problem Example A company has 5 jobs to be done. The following matrix shows the return in terms of rupees on assigning ith ( i = 1, 2, 3, 4, 5 ) machine to the jth …
linear programming
First step is to convert it into minimization problem by subtracting all the entries in the matrix from maximum value in the matrix. In next step, We try to balance the unbalanced problem i.e. …
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The Hungarian Method can also solve such assignment problems, as it is easy to obtain an equivalent minimization problem by converting every number in the matrix to an opportunity loss. The conversion is accomplished by subtracting all the elements of the given matrix from the …
If the given matrix is not a square matrix, the assignment problem is called an unbalanced problem. In such type of problems, add dummy row (s) or column (s) with the cost elements as zero to convert the matrix as a square matrix. …
maximisation problem, unbalanced assignment problem, alternative optimal solutions and restriction on assignments; and solve the travelling salesman problem as an assignment problem.
two dummy jobs to create a 10 by 10 balanced assignment problem. In a textbook, this problem would usually be solved with the Hungarian method, but other solution approaches are …
1) If N=n , the number of rows ( column ) of the given matrix then an optimal assignment can be made. So make the zero assignment to get the required solution. 2) If N (less then) n , then go...
19.2 Maximal Assignment Problem Example A company has 5 jobs to be done. The following matrix shows the return in terms of rupees on assigning ith ( i = 1, 2, 3, 4, 5 ) machine to the jth …
First step is to convert it into minimization problem by subtracting all the entries in the matrix from maximum value in the matrix. In next step, We try to balance the unbalanced problem i.e. …