Saturday, February 28, 2009

Assignment prob-1

Solve the following asignment problem for optimal costimage

Soln:

  • Given entries represents cost
  • objective is minimisation
  • problem is balanced

Row subtraction:

image

Column subtraction

image

Draw minimum numbers of line

image

Minimum number of lines=4 & Matrix type =4 : They are same, therefore follow Box cross rule.

BOX CROSS RULE:

image

All zeroes represents optimal solution, therefore assign

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