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Modeling Uncertainty for the Double Standard Model Using a Fuzzy Inference System.

Noelia Torres1, Leonardo Trujillo1, Yazmin Maldonado1

  • 1Departamento de Ingenieria Electrica y Electronica, Instituto Tecnologico de Tijuana, Tijuana, Mexico.

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|January 27, 2021
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Summary
This summary is machine-generated.

This study addresses ambulance location problems by incorporating travel time uncertainty. A fuzzy inference system (FIS) approach improves demand coverage compared to traditional methods, enhancing emergency response planning.

Keywords:
ambulancesbasesdouble standard modelemergency medical servicesfuzzy inference systemtriangular fuzzy set

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Area of Science:

  • Operations Research
  • Public Health Management
  • Computer Science

Background:

  • The ambulance location problem seeks optimal placement for maximum demand coverage.
  • The double standard model (DSM) is a common approach, but often overlooks travel time variability.
  • Uncertainty in travel times can significantly impact emergency service effectiveness.

Purpose of the Study:

  • To investigate the impact of travel time uncertainty on the ambulance location problem.
  • To develop and evaluate a fuzzy inference system (FIS) for handling this uncertainty.
  • To compare the FIS approach with traditional DSM methods.

Main Methods:

  • Utilized the double standard model (DSM) framework.
  • Introduced uncertainty in travel times using triangular fuzzy sets.
  • Developed a novel fuzzy inference system (FIS) with a rule base derived from problem characteristics.
  • Solved linear programs to determine optimal ambulance placement under different uncertainty scenarios.

Main Results:

  • Considering travel time uncertainty significantly alters optimal ambulance location solutions.
  • The fuzzy inference system (FIS) approach demonstrated superior performance in maximizing demand coverage.
  • Solutions incorporating uncertainty provided more robust and reliable outcomes for emergency services.

Conclusions:

  • Uncertainty in ambulance travel times is a critical factor in location planning.
  • The proposed fuzzy inference system (FIS) offers a reliable and effective strategy for the ambulance location problem.
  • This approach can significantly improve decision-making for emergency medical services by accounting for real-world travel variability.