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Theorem 1: If a constant is added (or subtracted) to every element of any row (or column) of the cost matrix [cij] in an assingment
Theorem 1: If a constant is added (or subtracted) to every element
of any row (or column) of the cost matrix [cij] in an assingment
problem then an assingment which minimises the total cost for the
new matrix will also minimize the total cost matrix.
Theorem 2: If all cij 0 and there exists a solution
xij = Xij such that
i
j
cij xij = 0.
then this solution is an optimal solution, i.e., minimizes z.
The computational proecdure is given as under:
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