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

DOI10.1016/j.ejor.2005.08.029zbMath1127.90046OpenAlexW2081083715MaRDI QIDQ864036

Avijit Sarkar, Rajan Batta, Rakesh Nagi

Publication date: 12 February 2007

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2005.08.029

zbMATH Keywords

barrierrectangular plane1-center placementfinite size facility location

Mathematics Subject Classification ID

Discrete location and assignment (90B80)

Related Items (10)

A planar single facility location and border crossing problem ⋮ Median location problem with two probabilistic line barriers: extending the Hooke and Jeeves algorithm ⋮ Contour line construction for a new rectangular facility in an existing layout with rectangular departments ⋮ Exact and approximate heuristics for the rectilinear Weber location problem with a line barrier ⋮ Unnamed Item ⋮ A capacitated location-allocation model for flood disaster service operations with border crossing passages and probabilistic demand locations ⋮ Continuous location model of a rectangular barrier facility ⋮ Rectilinear distance to a facility in the presence of a square barrier ⋮ Facility placement with sub-aisle design in an existing layout ⋮ The rectilinear distance Weber problem in the presence of a probabilistic line barrier

Cites Work

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• Facility location in the presence of forbidden regions. I: Formulation and the case of Euclidean distance with one forbidden circle
• \(L_ 1\) shortest paths among polygonal obstacles in the plane
• An efficient algorithm for facility location in the presence of forbidden regions
• Locating a 1-center on a Manhattan plane with ``arbitrarily shaped barriers
• Finite-Size Facility Placement in the Presence of Barriers to Rectilinear Travel
• Facility Locations with the Manhattan Metric in the Presence of Barriers to Travel
• Locating Facilities on the Manhattan Metric with Arbitrarily Shaped Barriers and Convex Forbidden Regions
• Finding minimum rectilinear distance paths in the presence of barriers
• Technical Note—Algorithms for Weber Facility Location in the Presence of Forbidden Regions and/or Barriers to Travel
• Dominating sets for rectilinear center location problems with polyhedral barriers

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