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The Location of Emergency Service Facilities

Operations Research · 1971 · Vol. 19(6) · pp. 1363–1373
Constantine ToregasRalph W. SwainCharles ReVelleLawrence A. Bergman

Abstract

This paper views the location of emergency facilities as a set covering problem with equal costs in the objective. The sets are composed of the potential facility points within a specified time or distance of each demand point. One constraint is written for each demand point requiring “cover,” and linear programming is applied to solve the covering problem, a single-cut constraint being added as necessary to resolve fractional solutions.

Facility Location and Emergency ManagementVehicle Routing Optimization MethodsOptimization and Mathematical ProgrammingFacility location problemConstraint (computer-aided design)Cover (algebra)1-center problemSet cover problemPoint (geometry)Mathematical optimizationComputer scienceService (business)Set (abstract data type)
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The Location of Emergency Service Facilities
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