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A Markov decision process approach to vacant taxi routing with e-hailing

Xinlian Yu, Song Gao, Xianbiao Hu and Hyoshin Park

Transportation Research Part B: Methodological, 2019, vol. 121, issue C, 114-134

Abstract: The optimal routing of a vacant taxi is formulated as a Markov Decision Process (MDP) problem to account for long-term profit over the full working period. The state is defined by the node at which a vacant taxi is located, and action is the link to take out of the node. State transition probabilities depend on passenger matching probabilities and passenger destination probabilities. The probability that a vacant taxi is matched with a passenger during the traversal of a link is calculated based on temporal Poisson arrivals of passengers and spatial Poisson distributions of competing vacant taxis. Passenger destination probabilities are calculated directly using observed fractions of passengers going to destinations from a given origin. The MDP problem is solved by value iteration resulting in an optimal routing policy, and the computational efficiency is improved by utilizing parallelized matrix operations.

Date: 2019
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DOI: 10.1016/j.trb.2018.12.013

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