Start by clarifying the core constraint: no increase in detour for existing passengers, which means new pickups must fit within the current route's slack. Then design a system that matches ride requests to existing trips using a spatial-temporal index, dispatches drivers with minimal added distance, and updates routes and ETAs in real time. Finally, discuss trade-offs between matching optimality and scalability, such as greedy vs. batch matching and the use of geohashing or graph partitioning.
Pro tip: Emphasize that the 'no detour' constraint is a hard filter, not a soft penalty—this simplifies the matching problem and avoids complex multi-objective optimization. Also, mention that in practice, you'd use a combination of precomputed routes and dynamic re-optimization to balance latency and optimality.
Confirm the goal: maximize passengers per ride while ensuring zero additional detour for existing passengers. Define metrics like pickup rate, detour tolerance, and system scale (e.g., requests per second, city size).
Use a spatial index (e.g., geohash, Quadtree) to find nearby drivers and passengers. Match new requests to existing trips only if the pickup and drop-off points lie on or very close to the current route without increasing its length.
When a match is found, update the route by inserting the new pickup/drop-off at the optimal position (e.g., using insertion heuristics). Recalculate ETAs for all passengers using real-time traffic data and inform them of any changes (though detour is zero, ETAs may shift slightly due to added stops).
Compare greedy (match immediately) vs. batch (wait and match multiple) approaches. Greedy is low-latency but suboptimal; batch improves matching quality but adds delay. Consider distributed matching using consistent hashing or graph partitioning to scale across cities.
Handle cases like no available matches, driver cancellations, or sudden traffic changes. Ensure the system can gracefully fall back to solo rides or re-route without violating the no-detour constraint.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.