Probabilistic Formulation of the Emergency Service Location Problem

Adel A. Aly

85 citations0/0 files storedJournal of the Operational Research Society

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

Abstract

The problem of locating emergency service facilities is studied under the assumption that the locations of incidents (accidents, fires, or customers) are random variables. The probability distribution for rectilinear travel time between a new facility location and the random location of the incident Pi is developed for the case of Pi being uniformly distributed over a rectangular region. The location problem is considered in a discrete space. A deterministic formulation is obtained and recognized to be a set cover problem. Probabilistic variation of the central facility location problem is also presented.An example and some computational experience are provided to emphasize the impact of the probabilistic formulation on the location decision.

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References

1970Central Facilities Location 1974A hypercube queuing model for facility location and redistricting in urban emergency services 1970An Analysis of Private and Public Sector Location Models 1972Urban Police Patrol Analysis 1972Response Areas for Two Emergency Units 1972Methods for Allocating Urban Emergency Units: A Survey 1973Square Root Laws for Fire Engine Response Distances 1974On Covering Problems and the Central Facilities Location Problem

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