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

Jeffrey B Goldberg, Ferenc Szidarovszky

Research output: Contribution to journalArticle

26 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)903-916
Number of pages14
JournalOperations Research
Volume39
Issue number6
StatePublished - Nov 1991

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Emergency vehicles
Nonlinear equations
Iterative methods
Ambulances
Travel time
Calibration
Emergency
Experiments
Emergency medical services

ASJC Scopus subject areas

  • Management Science and Operations Research

Cite this

Methods for solving nonlinear equations used in evaluating emergency vehicle busy probabilities. / Goldberg, Jeffrey B; Szidarovszky, Ferenc.

In: Operations Research, Vol. 39, No. 6, 11.1991, p. 903-916.

Research output: Contribution to journalArticle

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