The Transportation Model in Operations Research follows a structured algorithmic sequence:
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Make a Transportation Table
First, construct the transportation tableau by listing sources (supply), destinations (demand), and transportation costs. Balance the problem if total supply ≠ total demand. -
Find the basic feasible solution
Obtain an initial feasible solution using methods such as Northwest Corner Rule, Least Cost Method, or Vogel’s Approximation Method. -
Perform Optimality Test
Apply optimality testing techniques such as the MODI (u–v) method or Stepping Stone method to check whether the current solution is optimal. -
Iterate towards an optimal solution
If the solution is not optimal, improve it by reallocating shipments along closed loops. -
Test for Optimality
After iteration, re-test to confirm that all opportunity costs are non-negative (for minimization). If satisfied, the solution is optimal.
Thus, the correct procedural sequence is:
Transportation Table → Initial Basic Feasible Solution → Optimality Test → Improvement → Final Optimality Confirmation