Locating an Ambulance on the Amherst Campus of the State University of New York at Buffalo

Yolanda M. Carson · Rajan Batta

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Facility Location and Emergency Management Vehicle Routing Optimization Methods Military Defense Systems Analysis

Abstract

We used past call-data statistics and a network representation of the Amherst Campus of the State University of New York (SUNY) at Buffalo to find a dynamic positioning strategy for the campus ambulance. As measure of performance we used the system-wide average response time to a call. We solved one-median problems on several network “states” to determine optimal locations for the ambulance. To conclude our research effort, we validated the model. Models are not truth—the 30-percent savings predicted by our model evaporated during the test, which gave us a mere six-percent savings. This seemingly odd result is explained by the “elbow” relationship between travel time and travel distance, a relationship empirically postulated by the RAND fire project team in 1979.

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References

1964Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph 1985Determining Emergency Medical Service Vehicle Deployment in Austin, Texas 1985Optimal Server Location on a Network Operating as an M/G/1 Queue 1979Locations of Medians on Stochastic Networks 1966Optimum Locations on a Graph with Probabilistic Demands

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