Healthcare access under uncertainty

Shortest-path calculations that show how travel-time uncertainty affects access classifications.

Synthetic method demonstration

Verified classifications on a toy network and scaled the bound calculation to 32,577 nodes and 67,290 directed arcs from Sofala OSM topology. Original-plus-widened bound runs took a median 139.616 ms on the recorded host.

Cyclone Idai photographed from the International Space Station in March 2019. Context for the healthcare-access case study.
Cyclone Idai photographed from the International Space Station in March 2019. Context for the healthcare-access case study.Credit: NASA. NASA media usage guidelines. Image reproduced unchanged.Full-size imageImage source

results and contributions

Largest topology fixture32,577 nodes / 67,290 directed arcs
Median paired bound run139.616 ms on the recorded host
Time and closure inputsSynthetic development assumptions

design evolution

The design and analysis steps that produced the current work.

WorkEngineering questionApproachOutcome
Corridor detectionExercise corridor extraction on controlled synthetic scenes.Built the Sentinel-2 detector and preserved its test inputs and outputs.Implemented and retained the synthetic-scene detector pipeline.
Trip feasibilityCheck whether timestamped trip records can be parsed consistently.Qualified UCI traces as development inputs for the parser.Parsed 19 usable UCI traces to exercise the ingestion pipeline.

methods and scope

Sofala supplies network topology; edge times and closures are synthetic. Timings describe the recorded host and workload, and do not measure healthcare-access accuracy. Historical Idai inputs and reuse terms remain under source review. Missing roads and facility assumptions can invalidate bounds outside the modeled network.

project record

EvidenceSynthetic method demonstration
StatusIn Progress
Timeline2026
RoleShortest-path bounds, input qualification and reproducible toy examples
ToolsPython, GIS, Graph algorithms

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