SignificanceRide-sharing services can provide not only a very personalized mobility experience but also ensure efficiency and sustainability via large-scale ride pooling. Large-scale ride-sharing requires mathematical models and algorithms that can match large groups of riders to a fleet of shared vehicles in real time, a task not fully addressed by current solutions. We present a highly scalable anytime optimal algorithm and experimentally validate its performance using New York City taxi data and a shared vehicle fleet with passenger capacities of up to ten. Our results show that 2,000 vehicles (15% of the taxi fleet) of capacity 10 or 3,000 of capacity 4 can serve 98% of the demand within a mean waiting time of 2.8 min and mean trip delay of 3.5 min.

Ride-sharing, or carpooling, systems with autonomous vehicles will provide efficient and reliable urban mobility on demand. In this work we present a method for dynamic vehicle routing that leverages historical data to improve the performance of a network of self-driving taxis. In particular, we describe a constrained optimization method capable of assigning requests to autonomous vehicles in an informed way, to minimize the expected cost of serving both current and future travel requests. We allow several passengers with independent trips to share a vehicle and allow vehicles to pick additional passengers as they progress through their route. Based on historical data, we compute a probability distribution over future demand. Then, samples from the learned probability distribution are incorporated into a decoupled vehicle routing and passenger assignment method to take into account the predicted future demand. This method consists of three steps, namely pruning of feasible trips, assignment of trips to vehicles and rebalancing of idle vehicles. We show the benefits and tradeoffs of this predictive approach in an experimental evaluation with over three million rides extracted from a dataset of taxi trips in New York City. Our method produces routes and assignments that, in expectation, reduce the travel and waiting times for passengers, with respect to a purely reactive approach. Besides the mobility on demand application, the method we present is general and could also be applied to other multi-task multi-vehicle assignment and routing problems.

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