Constrained location of competitive facilities in the plane

DOI10.1016/S0305-0548(03)00241-7zbMath1061.90074MaRDI QIDQ1885947

Ronald G. McGarvey, Tom M. Cavalier

Publication date: 12 November 2004

Published in: Computers \& Operations Research (Search for Journal in Brave)

zbMATH Keywords

Nonconvex optimizationCompetitive facility locationElastic demandForbidden regionsPenalty functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Discrete location and assignment (90B80)

Related Items (11)

A Lagrangian heuristic algorithm for a public healthcare facility location problem ⋮ A BSSS algorithm for the location problem with minimum square error ⋮ Search region contraction of the Weber problem solution on the plane with rectangular forbidden zones ⋮ Location and design decisions of facilities in a distribution system with elastic customer demand ⋮ Optimization of location of interconnected facilities on parallel lines with forbidden zones ⋮ GENETIC ALGORITHM SOLUTION FOR MULTI-PERIOD TWO-ECHELON INTEGRATED COMPETITIVE/UNCOMPETITIVE FACILITY LOCATION PROBLEM ⋮ Sequential versus simultaneous approach in the location and design of two new facilities using planar Huff-like models ⋮ Strategic design of competing supply chain networks with foresight ⋮ Strategic design of competing centralized supply chain networks for markets with deterministic demands ⋮ A BSSS algorithm for the single facility location problem in two regions with different norms ⋮ On the impact of spatial pattern, aggregation, and model parameters in planar Huff-type competitive location and design problems

Cites Work

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• On locating new facilities in a competitive environment
• An efficient algorithm for facility location in the presence of forbidden regions
• Solving the multiple competitive facilities location problem
• Locating multiple competitive facilities: Spatial interaction models with variable expenditures
• A Continuous Equilibrium Model for Estimating Market Areas of Competitive Facilities with Elastic Demand and Market Externality
• 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
• The Minisum and Minimax Location Problems Revisited
• Replacing continuous demand with discrete demand in a competitive location model

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