1. ISEN 601 Location Logistics Dr. Gary M. Gaukler Fall 2011

2. SFMS with Rectilinear Distances Rectilinear distance: Total cost:

3. SFMS with Rectilinear Distances Properties of total cost function: Graph: Consequences:

4. SFMS with Rectilinear Distances Example 4.1:

5. SFMS with Rectilinear Distances Optimality properties:

6. SFMS with Rectilinear Distances Another example:

7. SFMS with Rectilinear Distances

8. Single Facility, Euclidean Distances Euclidean distance: l p -Norms:

9. Single Facility, Euclidean Distances Total cost function: Properties:

10. Single Facility, Euclidean Distances First order conditions:

11. Single Facility, Euclidean Distances Compare with the “Varignon Frame”:

12. Single Facility, Euclidean Distances “Varignon Frame”, top view:

13. Single Facility, Euclidean Distances When does the system come to rest?

14. Single Facility, Euclidean Distances Majority Theorem:

15. Single Facility, Euclidean Distances Back to our optimality equations:

16. Single Facility, Euclidean Distances Iterative procedure:

17. Single Facility, Euclidean Distances When do we stop iterating?