About This Chapter
Distribution & Network Models - Chapter Summary and Learning Objectives
Take a look at the mathematical models used to find the most efficient and cost-effective methods for delivering products or assigning tasks. Our illustrated video lessons can help you identify some of the variables associated with these transportation and assignment problems as well as the methods used to solve them. Chapter topics include:
- The transportation problem
- Minimum-cost methods
- The transportation simplex method
- Hungarian algorithms
- The assignment problem
- The transshipment problem
|The Transportation Problem: Features, Types & Solutions||Explore the applications of the transportation model to solve transportation problems.|
|Developing Network and Linear Programming Models for the Transportation Problem||Learn how network and linear programming models can be used to solve transportation problems.|
|Handling Transportation Problems & Special Cases||Discover solutions to problems caused by unequal supply and demand or routing errors. Examine transportation problems with maximization objectives.|
|Using the Minimum-Cost Method to Solve Transportation Problems||Find out how this method is used to reduce shipping costs.|
|Using the Transportation Simplex Method to Solve Transportation Problems||Learn how to solve transportation problems using the transportation simplex method.|
|The Assignment Problem: Features, Types, & Solutions||Discover the applications of the assignment model to solve problems associated with task assignment.|
|Developing Network and Linear Programming Models for the Assignment Problem||Explore the uses of network and linear programming models to solve assignment problems.|
|Using the Hungarian Algorithm to Solve Assignment Problems||Learn to solve assignment problems using the Hungarian algorithm.|
|The Transshipment Problem: Features, Types, & Solutions||Study the differences between the transshipment problem and the transportation problem. Explore the applications of the transshipment model.|
|Developing Network and Linear Programming Models for the Transshipment Problem||Use your knowledge of network and linear programming models to develop solutions to transshipment problems.|
1. The Transportation Problem: Features, Types, & Solutions
How do you calculate the cheapest way to ship goods between several warehouses and stores? In this lesson, you will explore the transportation problem and its solutions.
2. Handling Transportation Problems & Special Cases
In this lesson we'll discuss how to handle transportation problems such as unequal supply and demand, unacceptable routes, and how solving transportation problems can maximize the objectives of a business.
3. Using the Minimum-Cost Method to Solve Transportation Problems
This lesson will introduce you to the minimum cost method to solve transportation problems. We will explore why it is used, constraints and data needed to use the method and how the method is used to solve a real problem.
4. Using the Transportation Simplex Method to Solve Transportation Problems
In this lesson, we will explore how to solve transportation problems using the transportation simplex method. We will investigate the data needed and follow an example from beginning to end.
5. Using the Hungarian Algorithm to Solve Assignment Problems
The Hungarian Algorithm is used in assignment problems when we want to minimize cost. This lesson will go over the steps of this algorithm and we will also see this algorithm in action by applying it to a real-world example.
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