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Under the AMS project, Arizona State University developed a prototype Dynamic Ride Sharing application that provides drivers and riders with the flexibility of making real-time transportation decisions and aims at increasing the use of non-transit ride-sharing options including carpooling and vanpooling. The application is coded as a Vehicle Routing Problem with Pickup and Delivery with Time Windows (a.k.a., VRPPDTW) problem which typically requires the use of complex optimization solvers even for a limited number of agents on medium scale networks.

This algorithm is designed to calculate the pick-up and drop-off sequence for a given set of vehicles to transport given passengers. Each passenger has a specific time window requirement for picking up and dropping off. This algorithm can minimize the number of required vehicles and travel the shortest distance to meet all the passengers' requirements.

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