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

SFMS with Rectilinear Distances Rectilinear distance: Total cost:

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

SFMS with Rectilinear Distances Example 4.1:

SFMS with Rectilinear Distances Optimality properties:

SFMS with Rectilinear Distances Another example:

SFMS with Rectilinear Distances

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

Single Facility, Euclidean Distances Total cost function: Properties:

Single Facility, Euclidean Distances First order conditions:

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

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

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

Single Facility, Euclidean Distances Majority Theorem:

Single Facility, Euclidean Distances Back to our optimality equations:

Single Facility, Euclidean Distances Iterative procedure:

Single Facility, Euclidean Distances When do we stop iterating?