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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:.
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ISEN 601Location 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:
Single Facility, Euclidean Distances • Euclidean distance: • lp-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?
