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This work presents a stochastic dynamic programming (SDP) algorithm that aims at minimizing an economic criteria based on the total energy consumption of a range extender electric vehicle (REEV). This algorithm integrates information from…

Optimization and Control · Mathematics 2016-11-18 K. Aouchiche , J. Frederic Bonnans , Giovanni Granato , Hasnaa Zidani

The dynamic pricing problem of a freeway corridor with high-occupancy toll (HOT) lanes was formulated and solved based on a point queue abstraction of the traffic system [Yin and Lou, 2009]. However, existing pricing strategies cannot…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Xuting Wang , Wen-Long Jin , Yafeng Yin

In this paper we study a dynamic vehicle routing problem in which there are multiple vehicles and multiple classes of demands. Demands of each class arrive in the environment randomly over time and require a random amount of on-site service…

Robotics · Computer Science 2009-03-17 Marco Pavone , Stephen L. Smith , Francesco Bullo , Emilio Frazzoli

We study a dynamic traffic assignment model, where agents base their instantaneous routing decisions on real-time delay predictions. We formulate a mathematically concise model and define dynamic prediction equilibrium (DPE) in which no…

Computer Science and Game Theory · Computer Science 2024-09-20 Lukas Graf , Tobias Harks , Kostas Kollias , Michael Markl

Estimation of origin-destination (OD) demand plays a key role in successful transportation studies. In this paper, we consider the estimation of time-varying day-to-day OD flows given data on traffic volumes in a transportation network for…

As one of the most fundamental concepts in transportation science, Wardrop equilibrium (WE) has always had a relatively weak behavioral underpinning. To strengthen this foundation, one must reckon with bounded rationality in human…

Theoretical Economics · Economics 2024-02-08 Jiayang Li , Zhaoran Wang , Yu Marco Nie

Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

Computer Science and Game Theory · Computer Science 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

Probability · Mathematics 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

Moving and fixed bottlenecks are moving or fixed capacity restrictions that affect the propagation of traffic flow. They are a very important modeling approach to describe the effects of slow vehicles and traffic signals in transportation…

Analysis of PDEs · Mathematics 2017-01-05 Michele D. Simoni , Christian G. Claudel

A Wardrop equilibrium for multiple routes requires equal travel time on each path used. With real-time traffic data regarding travel times, it is important to analyze how to use the information provided. In particular, can a Wardrop…

Physics and Society · Physics 2009-09-02 L. C. Davis

Single-occupancy vehicles (SOVs) are charged to use the highoccupancy-toll (HOT) lanes, while high-occupancy-vehicles (HOVs) can drive in them at no cost. The pricing scheme for HOT lanes has been extensively studied at local bottlenecks or…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Irene Martínez , Wen-Long Jin

Up-to-date information wirelessly communicated among vehicles can be used to select the optimal route between a given origin and destination. To elucidate how to make use of such information, simulations are performed for autonomous…

Physics and Society · Physics 2017-04-05 L. C. Davis

To help mitigate road congestion caused by the unrelenting growth of traffic demand, many transportation authorities have implemented managed lane policies, which restrict certain freeway lanes to certain types of vehicles. It was…

Systems and Control · Computer Science 2018-11-16 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

This paper presents a numerical demonstration of the real-time application of two dynamic stall onset criteria for identifying and mitigating stall. These criteria - based on the leading-edge suction parameter (LESP) and boundary enstrophy…

Fluid Dynamics · Physics 2025-05-27 Sarasija Sudharsan , Anupam Sharma

This paper analyzes the time-dependent relationship between the mean and variance of travel time on a single corridor under rush hour like congestion patterns. To model this phenomenon, we apply the LWR ((Lighthill & Whitham, 1955),…

Physics and Society · Physics 2025-08-28 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Same-day delivery for e-commerce has become a popular service. Companies usually offer several time delivery options with the earliest one being next hour delivery. Due to tight delivery deadlines and thin margins, companies often find it…

Optimization and Control · Mathematics 2019-12-09 Anatolii Prokhorchuk , Justin Dauwels , Patrick Jaillet

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

Optimization and Control · Mathematics 2025-09-09 Dongnuan Tian , Rob Shone

This paper proposes a general equilibrium model for multi-passenger ridesharing systems, in which interactions between ridesharing drivers, passengers, platforms, and transportation networks are endogenously captured. Stable matching is…

General Economics · Economics 2023-12-06 Rui Yao , Shlomo Bekhor

We consider learning-based adaptive dynamic routing for a single-origin-single-destination queuing network with stability guarantees. Specifically, we study a class of generalized shortest path policies that can be parameterized by only two…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Yidan Wu , Feixiang Shu , Jianan Zhang , Li Jin

We propose a ridesharing strategy with integrated transit in which a private on-demand mobility service operator may drop off a passenger directly door-to-door, commit to dropping them at a transit station or picking up from a transit…

Computers and Society · Computer Science 2019-07-16 Tai-Yu Ma , Saeid Rasulkhani , Joseph Y. J. Chow , Sylvain Klein
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