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EOR
2007

Placing a finite size facility with a center objective on a rectangular plane with barriers

13 years 3 months ago
Placing a finite size facility with a center objective on a rectangular plane with barriers
This paper addresses the finite size 1-center placement problem on a rectangular plane in the presence of barriers. Barriers are regions in which both facility location and travel through are prohibited. The feasible region for facility placement is subdivided into cells along the lines of Larson and Sadiq (1983). To overcome complications induced by the center (minimax) objective, we analyze the resultant cells based on the cell corners. We study the problem when the facility orientation is known a priori. We obtain domination results when the facility is fully contained inside 1, 2 and 3-cornered cells. For full containment in a 4-cornered cell, we formulate the problem as a linear program. However, when the facility intersects gridlines, analytical representation of the distance functions becomes challenging. We study the difficulties of this case and formulate our problem as a linear or nonlinear program, depending on whether the feasible region is convex or nonconvex. An analys...
Avijit Sarkar, Rajan Batta, Rakesh Nagi
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where EOR
Authors Avijit Sarkar, Rajan Batta, Rakesh Nagi
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