**Difference Between Assignment and Transportation Model**

Contents

**Comparison Between Assignment and Transportation Model With Tabular Form**

The Major **Difference Between Assignment and Transportation model** is that **Assignment model** may be regarded as a special case of the transportation model. However, the **Transportation algorithm** is not very useful to solve this model because of degeneracy.

**Comparison Chart**

Transportation Model |
Assignment Model |
---|---|

The problem may have a rectangular matrix or a square matrix. | The assignment algorithm can not be used to solve the transportation model. |

The rows and columns may have any number of allocations depending on the rim conditions. | The rows and columns must have one-to-one allocation. Because of this property, the matrix must be a square matrix. |

The basic feasible solution is obtained by the northwest corner method or LCM method or VAM | The basic feasible solution is obtained by the Hungarian method or Flood’s technique or by Assignment algorithm. |

The optimality test is given by the stepping stone method or by the MODI method. | The optimality test is given by drawing a minimum number of horizontal and vertical lines to cover all the zeros in the matrix. |

The rim requirement may have any positive numbers. | The optimality test is given by drawing a minimum number of horizontal and vertical lines to cover all the zeros in the matrix. |

The transportation algorithm can be used to solve the assignment model. | The assignment algorithm can not be used to solve the transportation model. |

**Similarities**

- Both are special types of linear programming problems.
- Both have an objective function, structural constraints, and non-negativity constraints. And the relationship between variables and constraints is linear.
- The coefficients of variables in the solution will be either 1 or zero in both cases.
- Both are basically minimization problems. For converting them into maximization problems same procedure is used.

## More Difference

- Difference between Lagrangian and Eulerian Approach
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