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# PPT: Transportation Model Mechanical Engineering Notes | EduRev

## Mechanical Engineering : PPT: Transportation Model Mechanical Engineering Notes | EduRev

``` Page 1

Outline
•
Introduction
•
Solution Procedure for Transportation Problem
•
Finding an Initial Feasible Solution
•
Finding the Optimal Solution
•
Special Cases in Transportation Problems
•
Maximisation in Transportation Problems
•
Exercises
Page 2

Outline
•
Introduction
•
Solution Procedure for Transportation Problem
•
Finding an Initial Feasible Solution
•
Finding the Optimal Solution
•
Special Cases in Transportation Problems
•
Maximisation in Transportation Problems
•
Exercises
The main typical  issues in OR :
?
Formulate the problem
?
Build a mathematical model
?
Decision Variable
?
Objective Function
?
Constraints
?
Optimize the model
Operation Research
Page 3

Outline
•
Introduction
•
Solution Procedure for Transportation Problem
•
Finding an Initial Feasible Solution
•
Finding the Optimal Solution
•
Special Cases in Transportation Problems
•
Maximisation in Transportation Problems
•
Exercises
The main typical  issues in OR :
?
Formulate the problem
?
Build a mathematical model
?
Decision Variable
?
Objective Function
?
Constraints
?
Optimize the model
Operation Research
?
Transportation problem  are one of the linear Programming
Problem
?
The objective is to minimize the cost of distribution a product
from a no of sources or origin to a  no of destination in such a
manner to minimize the total transportation cost.
For example
? Manufacturer has three plants P
1
, P
2
, P
3
producing same
products.
?
From these plants, the product is transported to three
warehouses W
1
, W
2
and W
3
.
Introduction
Page 4

Outline
•
Introduction
•
Solution Procedure for Transportation Problem
•
Finding an Initial Feasible Solution
•
Finding the Optimal Solution
•
Special Cases in Transportation Problems
•
Maximisation in Transportation Problems
•
Exercises
The main typical  issues in OR :
?
Formulate the problem
?
Build a mathematical model
?
Decision Variable
?
Objective Function
?
Constraints
?
Optimize the model
Operation Research
?
Transportation problem  are one of the linear Programming
Problem
?
The objective is to minimize the cost of distribution a product
from a no of sources or origin to a  no of destination in such a
manner to minimize the total transportation cost.
For example
? Manufacturer has three plants P
1
, P
2
, P
3
producing same
products.
?
From these plants, the product is transported to three
warehouses W
1
, W
2
and W
3
.
Introduction
?
Each plant has a limited capacity, and each warehouse has
specific demand. Each plant transport to each warehouse, but
transportation cost vary for different combinations.
Page 5

Outline
•
Introduction
•
Solution Procedure for Transportation Problem
•
Finding an Initial Feasible Solution
•
Finding the Optimal Solution
•
Special Cases in Transportation Problems
•
Maximisation in Transportation Problems
•
Exercises
The main typical  issues in OR :
?
Formulate the problem
?
Build a mathematical model
?
Decision Variable
?
Objective Function
?
Constraints
?
Optimize the model
Operation Research
?
Transportation problem  are one of the linear Programming
Problem
?
The objective is to minimize the cost of distribution a product
from a no of sources or origin to a  no of destination in such a
manner to minimize the total transportation cost.
For example
? Manufacturer has three plants P
1
, P
2
, P
3
producing same
products.
?
From these plants, the product is transported to three
warehouses W
1
, W
2
and W
3
.
Introduction
?
Each plant has a limited capacity, and each warehouse has
specific demand. Each plant transport to each warehouse, but
transportation cost vary for different combinations.
Steps to solve a transportation problem
?
Formulate the problem and setup in the matrix form.
?
Obtain the initial basic  feasible solution.
?
Test the solution for optimality.
?
Updating the solution if required.
For example:
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## Manufacturing and Industrial Engineering

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