On the Optimisation of Heterogeneous Ambulance Fleet Allocations

Abstract: Ambulance services aim to maximise survival chances and improve patient outcomes following medical emergencies. Rather than focusing solely on response times or coverage, we propose a modelling approach to allocate different emergency response vehicle types to maximise patient outcomes within a heterogeneous population. Our key contribution involves developing a metaheuristic algorithm for finding better fleet allocations, used with a discrete-event simulation model featuring heterogeneous vehicles. A major innovation is numerically solving a system of equations to approximate vehicle utilisation, traditionally problematic since utilisation functions as both input and output of vehicle allocation decisions. The approach is informed by, and tested on, real-world data from Jakarta, Indonesia, to help decision makers understand ambulance fleet capacity needs and the impact of allocations on patient outcomes.

@article{palmer2025optimisation,
  title   = {On the Optimisation of Heterogeneous Ambulance Fleet Allocations},
  author  = {Palmer, Geraint and Tuson, Mark and Knight, Vincent A. and
             Harper, Paul R. and Brice, Syaribah Noor and Smith, Leanne and
             Gartner, Daniel},
  journal = {{IMA} Journal of Management Mathematics},
  volume  = {36},
  number  = {4},
  pages   = {691},
  year    = {2025},
  doi     = {10.1093/imaman/dpae027},
  url     = {https://academic.oup.com/imaman/article/36/4/691/8190187},
}