1 / 23

Transportation models and its variants

Transportation models and its variants. Chapter 5 Dr. Ayham Jaaron. What is Transportation model?.

cullen
Download Presentation

Transportation models and its variants

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transportation models and its variants Chapter 5 Dr. AyhamJaaron

  2. What is Transportation model? • The transportation problem is one of the subclasses of linear programming problem where the objective is to transport various quantities of a single homogeneous product that are initially stored at various origins, to different destinations in such a way that the total transportation is minimum.

  3. Purpose of Transportation models • Transportation models or problems are primarily concerned with the optimal (best possible) way in which a product produced at different factories or plants (called supply origins) can be transported to a number of warehouses (called demand destinations). The objective in a transportation problem is to fully satisfy the destination requirements within the operating production capacity constraints at the minimum possible cost.

  4. Real Life application

  5. Example: LP of Transportation models

  6. Continued...

  7. The LP is given by:

  8. Balancing the transportation model

  9. Example...

  10. Determination of the starting solution

  11. Transportation model solution using northwest-corner method

  12. Least-cost method

  13. Problem • For the transportation model provided below, calculate the optimal amount that should be ordered from each source, and what is the total cost of these amounts using the least-cost method?

  14. Vogel Approximation Method (VAM)

  15. Transportation model solution using VAM

  16. Problem (2)...VAM The Saussy Lumber Company ships pine flooring to three building supply houses from its mills in Pineville, Oak Ridge, and Mapletown. Determine the best transportation schedule for the data given in the accompanying table. Use the Vogel Approximation method.

  17. Comparing the starting solution obtained from Transportation methods • Problem Set 5.3A (page211):

  18. Problem (11)-page 199

  19. Home work • From book page no. 198 and 199: Problems: 6, 8, 10, 12 To be submitted next Thursday 11/11/2010 No late submissions.

  20. Non-Traditional Transportation Models • The application of the transportation model is not limited to transporting commodities between geographical sources and destinations. • Other applications are: • Production inventory control • Equipment maintenance. • And many other applications....

  21. Example...

  22. Solution...

  23. Solution...

More Related