A geometrical construction of the set of strictly efficient points in the polyhedral norm case

A geometrical construction of the set of strictly efficient points in the polyhedral norm case

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Article ID: iaor2000719
Country: Greece
Volume: 11
Issue: 1
Start Page Number: 89
End Page Number: 99
Publication Date: Dec 1997
Journal: Studies In Locational Analysis
Authors: ,
Keywords: geometry
Abstract:

We propose a new approach to construct in the plane the set of strictly efficient points with respect to a compact set of demand points when distances are measured by a polyhedral norm. The method is an iterative process which, in a certain sense, decomposes a polyhedral norm into several rectilinear type norms and constructs the set of strictly efficient points in a finite number of steps.

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