In this paper, we mathematically model the multi-hop Peer-to-Peer (P2P) ride-matching problem as a binary program. We formulate this problem as a many-to-many problem in which a rider can travel by transferring between multiple drivers, and a driver can carry multiple riders. We propose a pre-processing procedure to reduce the size of the problem, and devise a decomposition algorithm to solve the original ride-matching problem to optimality by means of solving multiple smaller problems. We conduct extensive numerical experiments to demonstrate the computational efficiency of the proposed algorithm and show its practical applicability to reasonably-sized dynamic ride-matching contexts. Finally, in the interest of even lower solution times, we propose heuristic solution methods, and investigate the trade-offs between solution time and accuracy.
A decomposition algorithm to solve the multi-hop Peer-to-Peer ride-matching problem
2017
Aufsatz (Zeitschrift)
Englisch
BKL: | 55.80 Verkehrswesen, Transportwesen: Allgemeines |
Developing an Optimal Peer-to-Peer Ride-Matching Problem Algorithm with Ride Transfers
Transportation Research Record | 2022
|Transportation Research Record | 2011
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