Methods for solving nonlinear equations used in evaluating emergency vehicle busy probabilities |
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Authors: | Goldberg J Szidarovszky F |
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Institution: | University of Arizona, Tucson. |
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Abstract: | In this paper we 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. We use monotonicity arguments to prove 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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