TRANSPORTATION MODEL

• Feasible solution:when non negative values of x_ij where i= 1 , 2 , …m and j= 1 , 2 , …n satisfy the constraints of availability or supply and demand or requirement is called the feasible solution of the transportation problem.
• Basic feasible solution: it is that feasible solution that contains only m + n -1 non-negative distribution.
• Optimal solution: when the transportation cost is minimum then the feasible solution is said to be the optimal solution.
• Balanced transportation problem: a transportation problem in which the total supply from all the sources equals the total demand in all the destinations.

Mathematically, _i=1 ʃ^m a_i = _j=1ʃⁿ b_i

• Unbalanced transportation problem: such problems which are not balanced are called unbalanced.

Mathematically,   _i=1ʃ^m a_{i ≠ j=1}ʃⁿ b_i

• Matrix terminology: transportation problem is also solved by the matrix system. As we all know in matrix the vertical cells are called columns and horizontal cells as rows.

Warehouse

1                          2                      3                        4

Plants          A               4                          2                      10                      3

B               6                          8                       7                        8

Demand      15                         7                       8                       12

The intersecting point that is row B and column 4 also written as (B, 4) is the unit cost 5.

Links of Previous Main Topic:-

• Concept of capital expenditure
• Learning objectives and chapter outline
• Limitations of operations research
• Linear programming learning objectives and outline of chapter
• Introduction learning objectives
• Duality in linear programming
• Learning objectives

Links of Next Finance Topics:-

• Assumptions of transportation model
• North west corner rule
• Row minima method
• Column minima method
• Least cost method
• Vogels approximation method vam
• Performing optimality test
• The stepping stone method
• The modified distribution modi method or uv method
• Learning objectives and chapter outline in assignment model
• Minimization problems
• Learning objectives the transportation problems
• Special case of traveling sales man problem
• Replacement theory learning objectives and chapter outline
• Learning objectives and chapter outline for waiting line queuing theory