A PROBABILISTIC FIRE‐PROTECTION SITING MODEL WITH JOINT VEHICLE RELIABILITY REQUIREMENTS

Vladimir Marianov · Charles ReVelle

34 citations0/0 files storedPapers of the Regional Science Association

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Facility Location and Emergency Management Safety and Risk Management Military Defense Systems Analysis

Abstract

ABSTRACT A probabilistic fire-protection siting model is described that places capacitated stations, engine companies, and truck companies in such a way that the population or calls covered by an engine and a truck with a joint reliability of at least α is maximized. Probabilistic constraints are developed and numerical equivalents are found for the probability requirement for proximate server presence. The multiple co-location of servers at stations and the use of stations with a limited capacity are also investigated. Structures are utilized that preserve the integer properties when the model is solved by linear programming relaxation.

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References

1974THE MAXIMAL COVERING LOCATION PROBLEM 1971The Location of Emergency Service Facilities 1983A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution 1974A hypercube queuing model for facility location and redistricting in urban emergency services 1986Concepts and Applications of Backup Coverage 1989The Maximum Availability Location Problem 1981A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment 1979The Team/Fleet Models for Simultaneous Facility and Equipment Siting

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