# SOLVING TRANSPORTATION PROBLEM USING COMPUTER - Quantitative Techniques for management

Input screen for solving TP & LP models using TORA

TORA Screen for TP Model Output screen using TP & LP models

TORA Screen for LP Model Example : Consider the following transportation problem and develop a linear programming (LP) model.

Transportation Problem Solution: Let xij be the number of units to be transported from the source i to the destination

j, where i = 1, 2, 3,…m and j = 1, 2, 3,…n.

The linear programming model is

Minimize Z = 15x11+20x12+30x13+10x21+9x22+15x23+14x31+12x32+18x33

Subject to constraints,
x11+x12+x13< 350 ...................(i)
x21+x22+x23< 200 ...................(ii)
x31+x32+x33< 400 ...................(iii)
x11+x12+x31 = 250 ...................(iv)
x12+x22+x32 = 400 ...................(v)
x13+x23+x33 = 300 ...................(vi)
xij> 0 for all i and j.

In the above LP problem, there are m × n = 3 × 3 = 9 decision variables and m + n = 3 + 3 = 6 constraints.

Quantitative Techniques for management Topics