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Journal ArticleDOI

An Algorithm for the Initial Dispatch of Fire Companies

TLDR
This procedure, designed for use in New York City's computed-aided Management Information and Control System, makes good initial dispatch decisions at all alarm rates and uses response times to serious fires to measure performance and recognizes that the dispatcher has incomplete information about the seriousness of the incident when the decision is made.
Abstract
In response to an incoming fire alarm, someone must decide how many and which engine and ladder companies firefighters and their apparatus to dispatch to the scene. Traditional dispatching policies assume that all of the designated companies are available at the time the alarm is received. These policies do not consider the workload imposed on firefighters, and do not work well at the high alarm rates now characteristic of parts of large cities. Our procedure, designed for use in New York City's computed-aided Management Information and Control System, makes good initial dispatch decisions at all alarm rates. It uses response times to serious fires to measure performance and recognizes that the dispatcher has incomplete information about the seriousness of the incident when the decision is made. A simulation comparison of our procedure with the traditional policy was made using actual incidents from July 1972. Our procedure reduced the average second engine and second ladder response times to serious fires by 25 to 45 seconds, while keeping total workload essentially unchanged. This reduction, which is about 10-15% of the five and a half minutes obtained for the traditional policy, results primarily from our procedure's deciding how many to send based on historical information on the chance that an alarm from a given location at a given time of day is serious. For example, the fraction of fires in occupied structures getting an initial second engine rose from 65% with the traditional policy to 85% with our procedure, although both policies sent an initial second engine to the same fraction of all incidents. Our procedure also reduced the number of relocations of engine companies and ladder companies substantially. The approach we used should be valuable in the design of computer-aided dispatching systems in other cities. In particular, others may find it helpful to review the way in which the objective function is developed, the way particular aspects of the dispatch problem are treated, the provision of several parameters for tuning behavior, and features of the simulation testing.

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Fifty years of operational research and emergency response

TL;DR: The operational research foundation in emergency response so far is reviewed, highlighting the fact that most of what has been accomplished addresses the well-structured problems of emergency services, suggesting an important OR growth area for the next 50 years.
Journal ArticleDOI

ANNIVERSARY ARTICLE: Improving Emergency Responsiveness with Management Science

TL;DR: The context, content, and nature of the research and the factors that led to early implementation successes in emergency response systems are looked at and the extent to which these original models are still affecting decision making inEmergency response systems is tracked.

Improving Emergency Responsiveness with Management Science

TL;DR: In this article, the authors look at the context, content, and nature of the research and the factors that led to these early implementation successes and track the extent to which these original models are still affecting decision making in emergency response systems.
Journal ArticleDOI

Real Applications of Markov Decision Processes

TL;DR: In the first few years of an ongoing survey of applications of Markov decision processes where the results have been implemented or have had some influence on decisions, few applications have been identified but there appears to be an increasing effort to model many phenomena as Markov decisions processes.
Journal ArticleDOI

A Survey of Operations Research Models and Applications in Homeland Security

TL;DR: Operations research has had a long and distinguished history of work in emergency preparedness and response, airline security, transportation of hazardous materials, and threat and vulnerability analysis, and other areas of OR applications in homeland security are evolving.
References
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Journal ArticleDOI

An Algorithm for the Dynamic Relocation of Fire Companies

TL;DR: A computer-based method for determining relocations that overcomes the deficiencies of the existing method by utilizing the computer's ability to store up-to-date information about the status of all fires in progress and the location and activity of all fire companies.
Journal ArticleDOI

Response Areas for Two Emergency Units

TL;DR: This paper gives a model in which two urban emergency service units such as fire engines or ambulances cooperate in responding to alarms or calls from the public in a specified region of a city.
Journal ArticleDOI

Square Root Laws for Fire Engine Response Distances

TL;DR: An inverse square-root function is developed for the relation between average response distance and the number of locations at which response units are stationed in a region to resolve decision problems important to the management of urban fire departments.
Journal ArticleDOI

Determining the Relation between Fire Engine Travel Times and Travel Distances in New York City

TL;DR: A simple physical model of the way fire engines travel leads to the hypothesis that T, the average fire engine travel time, depends on D, the distance travelled according to TD, which is validated and the parameters estimated, for New York City.
Journal ArticleDOI

A Markovian Decision Model for Deciding How Many Fire Companies to Dispatch

TL;DR: A Markovian decision model is presented for deciding how many units to dispatch to an incoming alarm of unknown seventy and it is found that it results in significant improvements in response time to serious fires.
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