Fundamental performance limits and efficient polices for Transportation-On-Demand systems
Author(s)
Pavone, Marco; Treleaven, Kyle Ballantyne; Frazzoli, Emilio
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Transportation-On-Demand (TOD) systems, where users generate requests for transportation from a pick-up point to a delivery point, are already very popular and are expected to increase in usage dramatically as the inconvenience of privately-owned cars in metropolitan areas becomes excessive. Routing service vehicles through customers is usually accomplished with heuristic algorithms. In this paper we study TOD systems in a formal setting that allows us to characterize fundamental performance limits and devise dynamic routing policies with provable performance guarantees. Specifically, we study TOD systems in the form of a unit-capacity, multiple-vehicle dynamic pick-up and delivery problem, whereby pick-up requests arrive according to a Poisson process and are randomly located according to a general probability density. Corresponding delivery locations are also randomly distributed according to a general probability density, and a number of unit-capacity vehicles must transport demands from their pick-up locations to their delivery locations. We derive insightful fundamental bounds on the steady-state waiting times for the demands, and we devise constant-factor optimal dynamic routing policies. Simulation results are presented and discussed.
Date issued
2011-02Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics; Massachusetts Institute of Technology. Laboratory for Information and Decision SystemsJournal
49th IEEE Conference on Decision and Control (CDC), 2010
Publisher
Institute of Electrical and Electronics Engineers
Citation
Pavone, Marco, Kyle Treleaven, and Emilio Frazzoli. “Fundamental Performance Limits and Efficient Polices for Transportation-On-Demand Systems.” 49th IEEE Conference on Decision and Control (CDC). Atlanta, GA, USA, 2010. 5622-5629. © 2011 IEEE
Version: Final published version
Other identifiers
INSPEC Accession Number: 11848849
ISBN
978-1-4244-7745-6
ISSN
0743-1546