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Distance Statistics

The shape adjusted distance score D is computed as the sum of the flow distance score and the shape penalties. The flow distance score itself is composed of the internal and the external flow distance score. The internal flow distance score is equal to the sum of the products of the rectilinear distance between the centroids of two departments and the relationship between those departments. In other words, if the centroids of two departments are located at coordinates and then the rectilinear centroid to centroid distance is given by:

(4.16)

The external flow distance score is equal to the sum of the shortest rectilinear distance of the centroid of the department to the perimeter of the building multiplied by the relationship of that department with the outside. In other words, if the origin of a department is denoted by (x, y), its size by (w, l), and the building dimensions by (W, L), then the rectilinear distance between the department and the perimeter is given by

(4.17)

The total flow distance is then equal to

(4.18)

For each individual department the shape ratio is denoted by , the maximum shape ratio is denoted by , and the shape penalty is denoted by . The shape adjusted distance score SD is then equal to:

(4.19)

The shape adjusted distance score is reported at the end of the algorithms. If you are only interested in the flow distance score, you can compute this score by evaluating the layout with the Evaluate command of the Algorithms menu. The flow distance score is reported as the Delta Objective value and also shown in the Evaluate dialog window.


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