NCJ Number
17199
Date Published
Unknown
Length
55 pages
Annotation
A MATHEMATICAL MODEL PREDICTING THE EXPECTED RESPONSE TIME TO A CALL FOR SERVICE (CFS) FOR A GIVEN CONFIGURATION OF POLICE BEATS IS DEVELOPED.
Abstract
IN DEVELOPING THIS PREDICTIVE MODEL, THE EFFECT OF DOWNTIME CALLS ON THE RESPONSE TIME TO A CFS IS DETERMINED. CONSIDERATION IS GIVEN TO BOTH TRAVEL TIME AND WAITING TIME. TRAVEL TIME AND SERVICE TIME DISTRIBUTIONS ARE ISOLATED. THE MODEL IS VALID FOR A POISSON DISTRIBUTION OF ARRIVALS AND ARBITRARY SERVICE TIME DISTRIBUTIONS. A PROBABILISTIC ASSIGNMENT POLICY IS DETERMINED FOR EACH BEAT. THE FRACTION OF INCOMING CALLS ARRIVING IN A GIVEN BEAT ANSWERED BY A GIVEN UNIT IS OBTAINED. PRE-EMPTIVE PRIORITIES ARE ALLOWED. APPLICATION TO THE AURORA, ILLINOIS, POLICE DEPARTMENT IS SHOWN. (AUTHOR ABSTRACT)