On the use of the Varignon frame for single facility Weber problems in the presence of convex barriers

Mustafa S. Canbolat and George O. Wesolowsky

European Journal of Operational Research, 2012, vol. 217, issue 2, 241-247

Abstract: This paper presents a new experimental approach to the Weber problem in the presence of convex barriers by using the Varignon frame. The Varignon frame is a mechanical system of strings, weights and a board with holes that has been used to identify an optimal location for the classical Weber problem. We show through analytical results that the same analog can also be used for some of the Weber problems in the presence of barriers. Some examples from the literature are revisited through experiments. Findings are compared to those found in the literature. Practical use of the analog is discussed as it provides rapid solutions, allows for flexibility, and enables one to visualize the problem.

Keywords: Planar facility location; The Varignon frame; Barriers to travel; The Weber problem; Euclidean distance (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:217:y:2012:i:2:p:241-247

DOI: 10.1016/j.ejor.2011.09.006

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