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Ambulance location and relocation problems with time-dependent travel times.

Verena Schmid1, Karl F Doerner

  • 1Department of Business Administration, University of Vienna, Bruenner Strasse 72, 1210 Vienna, Austria.

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|December 15, 2010
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Summary

Emergency service providers can improve ambulance coverage by accounting for changing travel times. This dynamic approach optimizes vehicle placement, ensuring faster patient response times throughout the day.

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Area of Science:

  • Operations Research
  • Public Health Logistics
  • Emergency Medical Services

Background:

  • Effective emergency service provision relies on optimal vehicle placement to meet demand.
  • Static ambulance location models fail due to dynamic travel times and coverage areas throughout the day.
  • Patient coverage is defined by the ability to reach them within a predefined time limit.

Purpose of the Study:

  • To develop a multi-period model for ambulance location that accounts for time-varying coverage areas.
  • To optimize vehicle repositioning strategies to maintain coverage standards over a planning horizon.
  • To address the challenge of effectively locating emergency vehicles to cover potential future demand.

Main Methods:

  • Formulation of a mixed integer program to optimize coverage across multiple time periods.
  • Application of metaheuristics, specifically variable neighborhood search, to solve the optimization problem.
  • Inclusion of time-dependent travel times and coverage variations in the model.

Main Results:

  • Ignoring time-dependent variations in travel times and coverage can overestimate the objective by over 24%.
  • Explicitly considering these variations improves the solution by an average of over 10%.
  • The developed multi-period model demonstrates the necessity of dynamic adjustments for effective ambulance deployment.

Conclusions:

  • Dynamic modeling of travel times and coverage areas is crucial for efficient emergency vehicle location.
  • Time-varying factors significantly impact ambulance service effectiveness and require dynamic management.
  • Optimized vehicle repositioning based on real-time conditions enhances emergency response capabilities.