What are the types of transportation problem?
There are two different types of transportation problems based on the initial given information: Balanced Transportation Problems: cases where the total supply is equal to the total demand. Unbalanced Transportation Problems: cases where the total supply is not equal to the total demand.
What are basic variables in transportation problem?
Number of basic variables = m + n – 1 = 3 + 4 – 1 = 6. Number of basic variables = m + n –1 = 3 + 4 – 1 = 6. The initial basic feasible solution is x12=20, x13=30, x21=20, x24=55, x233=20, x34=5 and minimum cost of transportation=20 X 2 + 20 X 5 + 30 X 7 + 55 X 2 + 20 X 9 + 5 X 2 = 650.
What are constraints in transportation problem?
The constraints are that you must (at least) meet demand at each demand center and cannot exceed supply at each supply center.
What are the characteristics of transportation problem of linear programming?
The transportation model is formulated for a class of problems with the following unique characteristics: (1) A product is transported from a number of sources to a number of destinations at the minimum possible cost; and (2) each source is able to supply a fixed number of units of the product, and each destination has …
What is north west corner rule?
Definition: The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. The transportation costs are also given in the matrix. The prerequisite condition for solving the transportation problem is that demand should be equal to the supply.
What are the types of transportation model?
Several types of models are used for transport planning:
- Travel Demand Models.
- Trip and Parking Generation Models.
- Walking and Bicycling Models.
- Economic Evaluation Models.
- Integrated Transportation and Land Use Models.
- Simulation Models.
- Energy and Emission Models.
- TDM Program Models.
What are the rim conditions in transportation problem?
Capacitated Transportation Problem with Bounds on Rim Conditions (CTPBRC) is an extension of classical transportation problem in which route’s transportation capacity, origin’s supply and destination’s demand have lower bound and upper bound.
What is north west corner method?
Definition: The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. The name North-west corner is given to this method because the basic variables are selected from the extreme left corner. The transportation costs are also given in the matrix.
How do you optimize a transportation problem?
To solve a transportation problem, the following information must be given:
- m= The number of sources.
- n= The number of destinations.
- The total quantity available at each source.
- The total quantity required at each destination.
- The cost of transportation of one unit of the commodity from each source to each destination.
What is basic feasible solution in transportation problem?
A feasible solution to a transportation problem is said to be a basic solution if it contains no more than m+ n-1 non-negative allocations, where m is the number of rows and n is the number of columns of the transportation problem.
Which type of linear programming problem does transportation problems is classified?
Transportation problems can be classified as which type of linear programming problem? Fixed-requirement problems.
What are the requirements of a transportation problem?
To solve a transportation problem, the following information must be given:
- m= The number of sources.
- n= The number of destinations.
- The total quantity available at each source.
- The total quantity required at each destination.
- The cost of transportation of one unit of the commodity from each source to each destination.
What are the parameters of a transportation problem?
The Transportation Problems (TP) is the generic name given to a whole class of problems in which the transportation is necessary. The general parameters of TP are as follows. (A) Resources. The resources are those elements that can be transported from sources to destinations.
How is the assignment problem solved in a transportation model?
Because assignment model is special case of transportation model so we can solve assignment problem directly as regular transportation model. Nevertheless, the fact that all the supply and demand amounts equal 1 has led to the development of a simple solution algorithm called the Hungarian Method.
How is the transportation problem an extension of linear programming?
The transportation problem is an extension of linear programming technique because the transportation costs are formulated as a linear function to the supply capacity and demand. Transportation problem exists in two forms.
What was the original purpose of the transportation problem?
It originally means the problem of transporting/shipping the commodities from the industry to the destinations with the least possible cost while satisfying the supply and demand limits. It is a special class of linear programming technique that was designed for models with linear objective and constraint functions.