What is unbalanced transportation problem in operation research?
What is unbalanced transportation problem in operation research?
Unbalanced transportation problem is a transportation problem where the total availability at the origins is not equal to the total requirements at the destinations.
How do you solve an unbalanced transportation problem?
These unbalanced problems can be easily solved by introducing dummy sources and dummy destinations. If the total supply is greater than the total demand, a dummy destination (dummy column) with demand equal to the supply surplus is added.
What is balanced problem in transportation problem?
If the total demand is greater than the total supply, then problem is infeasible. If the total demand is equal to the total supply, the problem is said to be a balanced transportation problem.
What is transportation problem with example?
Transportation Problem Example The factories can produce a given number of widgets per week each and the expected demand for each warehouse is also known. There is a shipping cost from each factory to each warehouse.
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.
How do you check transportation problem is balanced or not?
Step 1: Check whether the problem is balanced or not. If the total sum of all the supply from sources O1, O2, and O3 is equal to the total sum of all the demands for destinations D1, D2, D3 and D4 then the transportation problem is a balanced transportation problem.
How do you calculate transportation problems?
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.
How do you check a balanced transportation problem?
Solution: Step 1: Check whether the problem is balanced or not. If the total sum of all the supply from sources O1, O2, and O3 is equal to the total sum of all the demands for destinations D1, D2, D3 and D4 then the transportation problem is a balanced transportation problem.
What is the aim of transportation problem?
The transportation problem is a special type of linear programming problem where the objective is to minimise the cost of distributing a product from a number of sources or origins to a number of destinations. Because of its special structure the usual simplex method is not suitable for solving transportation problems.
What are the basic concepts of transportation problem?
The transportation problem is a special type of linear programming problem where the objetive consists in minimizing transportation cost of a given commodity from a number of sources or origins (e.g. factory, manufacturing facility) to a number of destinations (e.g. warehouse, store).
What is the goal of transportation problems?
The transportation problem is a distribution-type problem, the main goal of which is to decide how to transfer goods from various sending locations (also known as origins) to various receiving locations (also known as destinations) with minimal costs or maximum profit.
What are the basic steps involved in solving a transportation problem?
Methods of Solving Transportation Problem
- Step 1: Formulate the problem.
- Step 2: Obtain the initial feasible solution.
- Algorithm for North-West Corner Method (NWC)
- Algorithm for Least Cost Method (LCM)
- Algorithm for Vogel’s Approximation Method (VAM)
