Continuous location of dimensional structures
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Summary
A review of the existing work on the location of extensive facilities in continuous spaces is given and gaps in the knowledge are identified and suggestions for further research are made.
- Type
- article
- Published
- 2004-01-01
- Cited by
- 66
- References
- 149
- Access
- Open access
- OpenAlex
- https://openalex.org/W1966054643
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:14874314
Keywords
Extension (predicate logic), Computer science, Point (geometry), Line (geometry), Line segment
References
- Some problems on approximation of set of points by polygonal curves
- Two Characterizations of Smooth Norms
- Computational geometry and facility location
- An optimal algorithm for approximating a piecewise linear function
- Approximation by circles
- Gauge Distances and Median Hyperplanes
- Solving geometric problems with the rotating calipers
- ASSESSING TOPOLOGICAL CONFIGURATIONS FOR RAPID TRANSIT NETWORKS
- Locating lines and hyperplanes : theory and algorithms
- Maximin location of convex objects in a polygon and related dynamic Voronoi diagrams
- Convex Functions, Monotone Operators and Differentiability
- GLOBAL OPTIMIZATION PROBLEM WITH MULTIPLE REVERSE CONVEX CONSTRAINTS AND ITS APPLICATION TO OUT-OF-ROUNDNESS PROBLEM
- TENTATIVE PRUNE-AND-SEARCH FOR COMPUTING FIXED-POINTS WITH APPLICATIONS TO GEOMETRIC COMPUTATION
- Dominators for Multiple-objective Quasiconvex Maximization Problems
- Computing a Largest Empty Anchored Cylinder, and Related Problems
- A linear-time algorithm for linearL1 approximation of points
- Location and shape of a rectangular facility in R n : convexity properties
- Efficient Algorithms for the Smallest Enclosing Cylinder Problem
- HYPERPLANE TRANSVERSALS OF HOMOTHETICAL, CENTRALLY SYMMETRIC POLYTOPES
- Fitting a Set of Points by a Circle
Cited by
- Asset Allocation to Cover a Region of Piracy
- On Center Cycles in Grid Graphs
- Properties of Three-Dimensional Median Line Location Models
- On finding widest empty curved corridors
- Locating a single facility and a high-speed line
- The maximin HAZMAT routing problem
- The 1-Center and 1-Highway problem revisited
- Locating a Circle on a Sphere
- Locating a general minisum ‘circle’ on the plane
- Locating an axis-parallel rectangle on a Manhattan plane
- Facility location dynamics: An overview of classifications and applications
- Locating a Communication Path in a Competitive Scenario
- Minmax-distance approximation and separation problems: geometrical properties
- Computing an obnoxious anchored segment
- The pos/neg-weighted 1-median problem on tree graphs with subtree-shaped customers
- A global optimization procedure for the location of a median line in the three-dimensional space
- Location of weighted anti-ordered median straight lines with Euclidean distances
- Location-routing: Issues, models and methods
- The location of median paths on grid graphs
- Facility location via fuzzy modeling and simulation
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