1 / 21

THE TWO-POHASE METHOD & THE BIG-M METHOD

THE TWO-POHASE METHOD & THE BIG-M METHOD. IENG511 Optimization Theory. Introduction. THE TWO-POHASE METHOD. SUMMARY OF THE TWO-POHASE METHOD & THE BIG-M METHOD. THE TWO-POHASE METHOD & THE BIG-M METHOD Phase 1: (to find the extreme point) 1-change to standard format.

gerd
Download Presentation

THE TWO-POHASE METHOD & THE BIG-M METHOD

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. THE TWO-POHASE METHOD&THE BIG-M METHOD IENG511 Optimization Theory

  2. Introduction

  3. THE TWO-POHASE METHOD

  4. SUMMARY OF THE TWO-POHASE METHOD & THE BIG-M METHOD THE TWO-POHASE METHOD & THE BIG-M METHOD Phase 1: (to find the extreme point) 1-change to standard format. 2-Add numbers to table and add the Artificial values if necessary. 3-Try to do the row operation in order to change the artificial values to zero. • 4-Change all number in the “ x0 “ row to non-positive by using the row operation. • Phase 2: (takes us from feasible region to the optimal point) • 5-Remove artificial values from the table and rewrite the table with using the C=(C1 , C2 , …) but with reverse sign. • 6-Change all number in the “ z “row to non-positive by using the row operation. THE BIG-M METHOD The Big-M Method steps are exactly like the Tow-phase method: 1-change to standard format. 2-Add numbers to table and add the Artificial values if necessary. 3-Try to do the row operation in order to change the artificial values to zero. 4-Change all number in the “ z “ row to non-positive by using the row operation. Note: No feasible region (Empty feasible region): Artificial >0

  5. Example ofTHE TWO-POHASE METHOD

  6. Example of THE TWO-POHASE METHOD

  7. Example of THE TWO-POHASE METHOD

  8. Example of THE TWO-POHASE METHOD

  9. Example of THE TWO-POHASE METHOD .

  10. Example of THE TWO-POHASE METHOD

  11. Example of THE TWO-POHASE METHOD

  12. Example of THE TWO-POHASE METHOD

  13. Example of THE TWO-POHASE METHOD 5 Phase II 4 3 Feasible point 2 Phase I 1

  14. Example of THE BIG-M METHOD

  15. Example of THE BIG-M METHOD

  16. Example of THE BIG-M METHOD

  17. Example of THE BIG-M METHOD

  18. Example of THE BIG-M METHOD

  19. Example of THE BIG-M METHOD

  20. Example of THE BIG-M METHOD 5 4 3 2 1

  21. Thanks for your attention

More Related