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Operations Research                                              Neha Tikoo, Lovely Professional University




                    Notes                           Unit 5: Transportation Problem


                                     CONTENTS
                                     Objectives
                                     Introduction

                                     5.1  Modeling of Transportation Problem
                                          5.1.1  Mathematical Representation
                                          5.1.2  Network Representation of Transportation Model

                                          5.1.3  General Representation of Transportation Model
                                     5.2  Use of Linear Programming to Solve Transportation Problem
                                     5.3  Minimizing Case
                                     5.4  Maximization Transportation Problem
                                     5.5  Balanced Transportation Problem

                                     5.6  Unbalanced Transportation Problem
                                          5.6.1  Demand Less than Supply
                                          5.6.2  Demand Greater than Supply

                                     5.7  Initial Feasible Solution
                                          5.7.1  Algorithm for North-West Corner Method (NWC)
                                          5.7.2  Algorithm for Row and Column Minima  Method or  Least Cost Method
                                                 (LCM)
                                          5.7.3  Algorithm for Vogel’s Approximation Method (VAM)
                                     5.8  Degeneracy in Transportation Problems
                                     5.9  Summary
                                     5.10 Keywords

                                     5.11 Review Questions
                                     5.12 Further Readings

                                   Objectives

                                   After studying this unit, you will be able to:

                                      Understand the meaning of operations research
                                      Know about the history of operations research
                                      Discuss the scope and application of operations research
                                      Explain the various types of models used in operations research










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