Frank Plastria
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Mathematics
Frank Plastria's Degrees
- Masters Mathematics University of Oxford
Why Is Frank Plastria Influential?
(Suggest an Edit or Addition)According to Wikipedia, Frank A. A. Plastria is a Belgian operations researcher, a professor in the department of mathematics, operational research, statistics and information systems for management at Vrije Universiteit Brussel, known for his work on facility location. His work has been published in journals such as the European Journal of Operational Research, Discrete Applied Mathematics and Mathematical Programming.
Frank Plastria's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Static competitive facility location: An overview of optimisation approaches (2001) (319)
- On the point for which the sum of the distances to n given points is minimum (2009) (224)
- GBSSS: The generalized big square small square method for planar single-facility location (1992) (135)
- Discrete models for competitive location with foresight (2008) (126)
- Solving a Huff-like competitive location and design model for profit maximization in the plane (2007) (124)
- Continuous Covering Location Problems (2002) (123)
- Continuous Location Problems (1995) (111)
- Network and discrete location models, algorithms and applications (1996) (101)
- Reformulation descent applied to circle packing problems (2003) (99)
- Locating fire stations: An integrated approach for Belgium (2012) (93)
- Lower subdifferentiable functions and their minimization by cutting planes (1985) (90)
- Optimal location and design of a competitive facility (2004) (59)
- Formulating logical implications in combinatorial optimisation (2002) (53)
- Discrete location problems with push-pull objectives (2002) (50)
- Gauge Distances and Median Hyperplanes (2001) (49)
- On destination optimality in asymmetric distance Fermat-Weber problems (1993) (49)
- Undesirable facility location with minimal covering objectives (1999) (48)
- Location of Semi-Obnoxious Facilities (2003) (47)
- Planar Location and Design of a New Facility with Inner and Outer Competition: An Interval Lexicographical-like Solution Procedure (2007) (44)
- Localization in single facility location (1984) (39)
- Asymmetric distances, semidirected networks and majority in Fermat–Weber problems (2009) (38)
- Sequential versus simultaneous approach in the location and design of two new facilities using planar Huff-like models (2009) (38)
- Location-arc routing problem: Heuristic approaches and test instances (2014) (37)
- The Weiszfeld Algorithm: Proof, Amendments, and Extensions (2011) (34)
- Formulation Space Search for Circle Packing Problems (2007) (33)
- Discretization results for the Huff and Pareto-Huff competitive location models on networks (1998) (32)
- Dimensionality Reduction for Classification (2008) (32)
- AVOIDING CANNIBALISATION AND/OR COMPETITOR REACTION IN PLANAR SINGLE FACILITY LOCATION (2005) (30)
- Euclidean push-pull partial covering problems (2006) (29)
- Non-hierarchical clustering with masloc (1983) (28)
- On the choice of aggregation points for continuousp-median problems: A case for the gravity centre (2001) (27)
- Equity-Efficiency Bicriteria Location with Squared Euclidean Distances (2008) (26)
- Maximal covering location problem with price decision for revenue maximization in a competitive environment (2009) (25)
- Aggregation without Loss of Optimality in Competitive Location Models (2007) (25)
- On the uniqueness of optimal solutions in continuous location theory (1985) (24)
- Geometrical characterization of weakly efficient points (1996) (23)
- Solving general continuous single facility location problems by cutting planes (1987) (22)
- Support Vector Regression for imprecise data (2007) (22)
- Assessing Spatial Data Infrastructure Policy Strategies Using the Multi-Actor Multi-Criteria Analysis (2009) (19)
- Polynomial algorithms for parametric minquantile and maxcovering planar location problems with locational constraints (1998) (19)
- On the convergence of the Weiszfeld algorithm for continuous single facility location–allocation problems (2008) (19)
- Plagiarism again: Sreenivas and Srinivas, with an update on Marcu (2009) (18)
- A case of plagiarism: Dănuţ Marcu (2006) (18)
- The minimization of lower subdifferentiable functions under nonlinear constraints: An all feasible cutting plane algorithm (1988) (17)
- Classification problems with imprecise data through separating hyperplanes (2007) (17)
- Four-point Fermat location problems revisited. New proofs and extensions of old results (2006) (16)
- Geometric interpretation of the optimality conditions in multifacility location and applications (1990) (15)
- Eleven surveys in Operations Research (2007) (15)
- On the impact of spatial pattern, aggregation, and model parameters in planar Huff-type competitive location and design problems (2009) (15)
- When facilities coincide: Exact optimality conditions in multifacility location (1992) (14)
- On minquantile and maxcovering optimisation (1995) (14)
- 4OR: A Quarterly Journal of Operations Research (2005) (14)
- A characterization of efficient points in constrained location problems with regional demand (1996) (14)
- On the Selection of the Globally Optimal Prototype Subset for Nearest-Neighbor Classification (2007) (13)
- Dominators for Multiple-objective Quasiconvex Maximization Problems (2000) (13)
- Multidimensional Theoretic Consensus Reachability: The Impact of Distance Selection and Issue Saliences (2015) (13)
- The determination of a “least quantile of squares regression line” for all quantiles (1995) (12)
- Reconciling Franchisor and Franchisee: A Planar Biobjective Competitive Location and Design Model (2006) (12)
- Locating an Undesirable Facility by Generalized Cutting Planes (1998) (11)
- 4OR Quarterly Journal of the Belgian, French and Italian Operations Research Societies (2004) (11)
- 4OR for what purpose? (2003) (11)
- Locating a semi-obnoxious covering facility with repelling polygonal regions (2013) (11)
- Optimal Expected-Distance Separating Halfspace (2008) (10)
- The effects of majority in Fermat-Weber problems with attraction and repulsion in a pseudometric space (1991) (10)
- Alternating local search based VNS for linear classification (2010) (10)
- Dimensionality Reduction for Classification ? Comparison of Techniques and Dimension Choice (2008) (10)
- Multi-instance classification through spherical separation and VNS (2014) (10)
- Discretization and Resolution of the ( r | X p )-Medianoid Problem Involving Quality Criteria (2004) (9)
- LOCATION AND DESIGN OF A COMPETITIVE FACILITY FOR PROFIT MAXIMISATION (2003) (9)
- An Extended Multifacility Minimax Location Problem Revisited (2002) (9)
- Pasting gauges I: Shortest paths across a hyperplane (2019) (8)
- Kernel Support Vector Regression with imprecise output (2008) (8)
- No 7-year itch at 4OR (2009) (8)
- Finding an Euclidean anti-k-centrum location of a set of points (2010) (7)
- Sufficient Conditions for Coincidence in Minisum Multifacility Location Problems with a General Metric (1991) (7)
- Optimal gridpositioning or single facility location on the torus (1991) (7)
- Single-facility huff location problems on networks (2014) (7)
- Eleven surveys in operations research: II (2010) (6)
- A deep cut ellipsoid algorithm and quasiconvex programming (1994) (6)
- Quadratic Ordered Median Location Problems (2011) (6)
- Geometric interpretation of the optimality conditions in multifacility location and applications (1991) (6)
- Two hierarchies associated with each clustering scheme (1986) (5)
- Improved fixed point optimality conditions for mixed norms minisum location (2014) (5)
- The k-Centrum Straight-line Location Problem (2010) (5)
- Minmax-distance approximation and separation problems: geometrical properties (2012) (5)
- Continuous location of an assembly station (2013) (5)
- Nonlinear programming: Theory and algorithms: Mokhtar S. Bazaraa, Hanif D. Sherali and C.M. Sherali John Wiley and Sons, New York, 2nd edition, 1993, xiii + 638p, ISBN 0 471 59973 5 (1994) (4)
- The Ordered Median Euclidean Straight-line Location Problem (2009) (4)
- Optimal distance separating halfspace ∗ (2002) (4)
- A Note on “Fixed Point Optimality Criteria for the Location Problem with Arbitrary Norms” (1983) (4)
- QUADRATIC ORDERED MEDIAN LOCATION PROBLEMS( the 50th Anniversary of the Operations Research Society of Japan) (2007) (4)
- The zero-one knapsack problem with equality constraint (1985) (4)
- Locating a semi-obnoxious facility with repelling polygonal regions (2007) (3)
- Up- and downgrading the euclidean 1-median problem and knapsack Voronoi diagrams (2016) (3)
- Linear separation and approximation by minimizing the sum of concave functions of distances (2014) (3)
- A dissimilarity-based approach for Classification (2002) (2)
- On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization (2020) (2)
- Sensitivity analysis of the optimal solutions to Huff-type competitive location and design problems (2008) (2)
- Pasting gauges II: Balls in pasted halfplanes (2019) (2)
- A note towards improved homeland defense (2012) (2)
- 2-class Internal Cross-validation Pruned Eigen Transformation Classification Trees ? (2008) (2)
- On the Number of Hexagons in Cubic Maps (1999) (2)
- Location of weighted anti-ordered median straight lines with Euclidean distances (2015) (2)
- How bad can the centroid be? (2016) (2)
- Covers in the lattice of topologies (1975) (2)
- 2-class Eigen Transformation Classification Trees (2009) (1)
- Building separating concentric balls to solve a multi-instance classification problem (2008) (1)
- A majority theorem for Fermat-Weber problems in quasimetric spaces with applications to semidirected networks (1993) (1)
- S. Nickel and J. Puerto, Location Theory: A Unified Approach, Springer (2005) ISBN 3-540-24321-6 XXI+437p (2007) (1)
- Using the power of ideal solutions: simple proofs of some old and new results in location theory (2020) (1)
- Flemish Spatial Data Infrastructure and Public Sector Innovation (2007) (1)
- Equity Bicriteria Location Models Using Line Tessellation (2005) (1)
- Mixed zero-one Programming (2001) (1)
- On gauges and median hyperplanes (2000) (1)
- Improved results for the k-centrum straight-line location problem (2004) (1)
- Models for competitive location with foresight (2003) (1)
- Book reviewComputer science and operations research: New developments in their interfaces: Osman Balci, Ramesh Sharda and Stavros A. Zenios (Eds.) Pergamon Press, Oxford, New York, Seoul, Tokyo, 1992, xii + 536p, ISBN 0 08 040806 0 (1994) (0)
- Segmented pseudometrics and four-point Fermat-Torricelli problems (2022) (0)
- Continuous location of an assembly station (2011) (0)
- Acknowledgement to referees (2022) (0)
- Corrigendum to “A note towards improved homeland defense” [Omega 40 (2012) 244–248] (2014) (0)
- Message from the organizing committee chair (2011) (0)
- Locating a Central Hunter on the Plane Mart́ın Cera (2014) (0)
- Multidimensional Theoretic Consensus Reachability: The Impact of Distance Selection and Issue Saliences (2014) (0)
- Improved fixed point optimality conditions for mixed norms minisum location (2011) (0)
- Three location tapas calling for CG sauce (2013) (0)
- A Note on "A Special Problem on Rectangular Floorplans Solvable in Polynomial Time" of G. Bär (1993) (0)
- Partial Covering Bicriteria Location (2005) (0)
- CALCULATING THE FREQUENCY OF TOURNAMENT SCORE SEQUENCES (2013) (0)
- Linear separation and approximation by minimizing the sum of concave functions of distances (2013) (0)
- First announcement and call for papers (2004) (0)
- Multi-dimensional Data Inspection for Supervised Classification with Eigen Transformation Classification Trees (2010) (0)
- Minmax-distance approximation and separation problems: geometrical properties (2010) (0)
- Location theoretic consensus points: the impact of distance selection and issue saliences (2012) (0)
- Understanding Spatial Inertia: A Comment on Tellier and Vertefeuille (1998) (0)
- Support Vector Machines for interval data (2007) (0)
- Comments on: Routing problems with loading constraints (2010) (0)
- 4 OR for what purpose ? (2002) (0)
- Finding optimal separating halfspaces by Variable Neighbourhood Search (2006) (0)
- Issue saliences and distance selection in spatial coalition formation models: an empirical investigation (2015) (0)
- Optimization problems arising in SVR (2009) (0)
- The ordered anti-median problem with distances derived from a strictly convex norm (2013) (0)
- Planar maximal covering problems in a multimodal transportation environment (2007) (0)
- Up- and downgrading the euclidean 1-median problem and knapsack Voronoi diagrams (2014) (0)
- 1-E-5 Multi-objective ordered median location problem (2008) (0)
- Push-pull partial covering problems (2004) (0)
- Single-facility huff location problems on networks (2013) (0)
- Book reviewLocation Theory: A Unified Approach, S. Nickel, J. Puerto, Springer (2005), XXI+437p, ISBN: 3-540-24321-6 (2007) (0)
- The Impact of Consumer’s Bounded Rationality on Retailer’s Price and Location Decisions (2011) (0)
- Acknowledgement to Referees (1999) (0)
- J . Wang Performance Analysis of a Call Center with Interactive Voice Response Units (2004) (0)
- Métodos de Localización (2000) (0)
- On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization (2019) (0)
- A note on the continuous p-defense-sum problem (2000) (0)
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