Mastering Operations Research with Transportation Models

🚀 Course Title: Transportation Model in Operations Research
🧠 Course Headline: Optimization using Transportation Model
👀 Course Description:

This course is a comprehensive deep dive into the world of Operations Research, focusing specifically on the Transportation Model - a cornerstone for solving linear programming problems involving the allocation of resources. Led by the esteemed Dr. Himanshu Saxena, you'll explore the intricacies of this model and its practical applications in various industries.

Course Structure:

I Phase: Initial Basic Feasible Solution (IBFS)

• 🔹 North West Corner Method
  • Learn how to initiate the allocation process from the upper left corner of the transportation table.
• 🔹 Least Cost Method
  • Discover the technique for selecting the path with the lowest cost first.
• 🔹 Vogels Approximation Method
  • Understand how to apply penalties to select a near-optimal solution quickly.

II Phase: Optimum Solution using:

• 🔹 Stepping Stone Method
  • Master the method that iteratively improves upon your initial solution.
• 🔹 Modified Distribution Method (MODI Method)
  • Learn how to adjust the distribution to find the optimal solution.

Additional Topics Covered:

• Unbalanced Transportation Problems
  • Gain insights into real-world scenarios where supplies and demands may not balance perfectly.
• Degeneracy Situations
  • Understand and resolve situations when the model yields multiple optimal solutions.

Historical Context:

The transportation model, as we know it today, was pioneered by E.L. Hitchcock in 1941 and later refined by T.C. Koopmans in 1949. Its linear programming formulation was laid out by George B. Dantzig in 1951, marking a significant milestone in the field of Operations Research.

Two-Phase Solution Process:

1. Initial Optimum Transportation Cost

   • North West Corner Method
     • Learn the step-by-step process of allocating resources from the North West corner, ensuring either supply is exhausted or demand is satisfied in each iteration.

2. Total Minimum Transportation Cost

   • Apply the North West Corner, Least Cost, and Vogels Approximation Methods to find the most cost-efficient distribution of resources.

By the end of this course, you'll have a robust understanding of how to apply the transportation model to real-world problems, ensuring you can optimize resource allocation in various contexts. Whether you're a business analyst, supply chain manager, or an aspiring Operations Research expert, this course will equip you with the skills needed to excel in your field.

🎓 Enroll now and take the first step towards mastering Operations Research with the Transportation Model! 🎓