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A two-stage approach to modeling vacant taxi movements

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TLDR
The results demonstrate that the proposed model formulation offers a great improvement in terms of root mean square error as compared with the existing taxi customer-search models, and show the model capabilities of predicting the changes in vacant taxi trip distributions with respect to the variations in the fleet size and fare.
Abstract
In this paper, a two-stage modeling approach is proposed to predict vacant taxi movements in searching for customers. The taxi movement problem is formulated into a two-stage model that consists of two sub-models, namely the first and second stage sub-models. The first stage sub-model estimates the zone choice of vacant taxi drivers for customer-search and the second stage sub-model determines the circulation time and distance of vacant taxi drivers in each zone by capturing their local customer-search decisions in a cell-based network within the zone chosen in the first stage sub-model. These two sub-models are designed to influence each other, and hence an iterative solution procedure is introduced to solve for a convergent solution. The modeling concept, advantages, and applications are illustrated by the global positioning system data of 460 Hong Kong urban taxis. The results demonstrate that the proposed model formulation offers a great improvement in terms of root mean square error as compared with the existing taxi customer-search models, and show the model capabilities of predicting the changes in vacant taxi trip distributions with respect to the variations in the fleet size and fare. Potential taxi policies are investigated and discussed according to the findings to provide insights in managing the Hong Kong taxi market.

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Citations
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Hail a cab or ride a bike? A travel time comparison of taxi and bicycle-sharing systems in New York City

TL;DR: In this article, the authors examine the hypothesis that bicycles can compete with cars in terms of travel time in dense urban areas and examine the differences in observed travel times by taxi and BSS in New York City in 2014.
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Regulating Taxi Services in the Presence of Congestion Externality

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

TL;DR: The proposed model and an efficient implementation of the value iteration algorithm are tested and results show that the optimal routing policy improves average unit profit and occupancy rate by 23.0% and 8.4% over the random walk and local hotspot heuristic respectively.
Journal ArticleDOI

Modelling drivers’ working and recharging schedules in a ride-sourcing market with electric vehicles and gasoline vehicles

TL;DR: An analytical framework for understanding drivers’ behavior in the ride-sourcing market with both EVs and gasoline vehicles is proposed and a time-expanded network is established to sketch out the schedules of working periods of both EV and GV drivers, and recharging schedules of EV drivers under the user equilibrium.
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Optimal passenger-seeking policies on E-hailing platforms using Markov decision process and imitation learning

TL;DR: A Markov Decision Process (MDP) is employed to model idle e-hailing drivers' optimal sequential decisions in passenger-seeking to better incorporate the competition among multiple drivers into the model and devised and calibrated a dynamic adjustment strategy of the order matching probability.
References
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Journal ArticleDOI

Derivation and analysis of some models for combining trip distribution and assignment

TL;DR: This paper considers commonly used models for two of these stages, trip distribution and traffic assignment, and derives models combining them into a single stage, and reformulated as an equivalent optimatization problem which is solved.
Journal ArticleDOI

Demand-supply equilibrium of taxi services in a network under competition and regulation

TL;DR: In this article, a network model is used to describe the demand and supply equilibrium of taxi services under fare structure and fleet size regulation in an either competitive or monopoly market, and the spatial structure of the market such as the form of road network and the customer origin-destination demand pattern are explicitly considered.
Journal ArticleDOI

A network model of urban taxi services

TL;DR: The model offers some interesting insights into the nature of the equilibrium of taxi services, and offers some policy-relevant results for decision making, including the findings that the average taxi utilization decreases sharply with the number of taxis operating, and that the higher the taxi utilization, the larger the average customer waiting time.
Journal ArticleDOI

Taxi Travel Should Be Subsidized

TL;DR: In a first best environment, taxi travel should be subsidised as discussed by the authors, which derives from economies of density, doubling trips and taxis reducing waiting time, and the subsidy should cover the shadow cost of taxis' idle time, evaluated at the optimum.
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