Operations Research20815 marksModified Distribution
Explain the algorithm of the Modified Distribution (MODI) method for testing the optimality of the transportation problem.
Explain the algorithm of the Modified Distribution (MODI) method for testing the optimality of the transportation problem. [5]
The MODI method (also called the u-v method) tests whether a basic feasible solution to a transportation problem is optimal. Here is the algorithm: For each basic variable (occupied cell) in the current solution, assign dual variables ui and vj such that: $$c{ij} = ui + vj$$ where cij is the cost...