Methods for solving nonlinear equations used in evaluating emergency vehicle busy probabilities

Methods for solving nonlinear equations used in evaluating emergency vehicle busy probabilities

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Article ID: iaor19931397
Country: United States
Volume: 39
Issue: 6
Start Page Number: 903
End Page Number: 916
Publication Date: Nov 1991
Journal: Operations Research
Authors: ,
Keywords: queues: applications, law & law enforcement
Abstract:

In this paper the authors present two iterative methods for solving a model to evaluate busy probabilities for Emergency Medical Service (EMS) vehicles. The model considers location dependent service times and is an alternative to the mean service calibration method; a procedure, used with the Hypercube Model, to accommodate travel times and location-dependent service times. The authors use monotonicity arguments to pove that one iterative method always converges to a solution. A large computational experiment suggests that both methods work satisfactorily in EMS systems with low ambulance busy probabilities and the method that always converges to a solution performs significantly better in EMS systems with high busy probabilities.

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