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

Jeffrey Goldberg, Ferenc Szidarovszky

Research output: Contribution to journalArticle

26 Scopus citations

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
DOIs
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research

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