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We extended the Biham-Middleton-Levine model to incorporate the origin and destination effect of drivers trips on the traffic in cities. The destination sites are randomly chosen from some origin-destination distances probability…

Physics and Society · Physics 2009-11-11 Najem Moussa

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a stationary non-work-conserving scheduler. New tasks enter the queue according to a Bernoulli process with a pre-specified arrival…

Applications · Statistics 2020-08-05 Michael Lin , Nuno C. Martins , Richard J. La

Persuasive scholarship presents how individual daily travel habits implicate congestion, environmental pollution, and the travel experience. However, the empirical characteristics and dynamics of travel habits remain poorly understood.…

Physics and Society · Physics 2025-05-07 Jiwon Kim , Jonathan Corcoran

The combination of boundary flow control and variable speed limit (VSL) is a widely used strategy for highway corridors to maintain safety and throughput when the capacity downstream is dropped. However, most proposed models assume fixed…

Optimization and Control · Mathematics 2021-10-28 Hao Liu , Suyash Vishnoi , Christian Claudel

Efficient management of traffic corridors is critical for sustaining urban mobility. Exclusive bus lane (EBL) and high occupancy vehicle lane (HOVL) are two prominent strategies for enhancing public transit services and alleviating…

Optimization and Control · Mathematics 2025-10-01 Jiaqing Lu , Dian Sheng , Qianwen Guo , Paul Schonfeld

This paper provides a unified framework for the problem of controlling a fleet of ride-hailing vehicles under stochastic demand. We introduce a sequential decision-making model that consolidates several problem characteristics and can be…

Optimization and Control · Mathematics 2025-12-29 Stefan Pilot , Murwan Siddig

In this paper we revisit a class of optimal transport problems associated to non-autonomous linear control systems. Building on properties of the cost functions on $\mathbb{R}^{d}\times\mathbb{R}^{d}$ derived from suitable variational…

Optimization and Control · Mathematics 2025-05-26 Amit Einav , Yue Jiang , Alpár R. Mészáros

Ridesourcing platforms recently introduced the ``schedule a ride'' service where passengers may reserve (book-ahead) a ride in advance of their trip. Reservations give platforms precise information that describes the start time and location…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Cesar N. Yahia , Gustavo de Veciana , Stephen D. Boyles , Jean Abou Rahal , Michael Stecklein

Controlling the departure time of the trucks from a container hub is important to both the traffic and the logistics systems. This, however, requires an intelligent decision support system that can control and manage truck arrival times at…

Artificial Intelligence · Computer Science 2023-11-28 Ali Nadi , Maaike Snelder , J. W. C. van Lint , Lóránt Tavasszy

Redundancy-d (R(d)) is a load balancing method used to route incoming jobs to K servers, each with its own queue. Every arriving job is replicated into 2<=d<=K tasks, which are then routed to d servers chosen uniformly at random. When the…

Performance · Computer Science 2020-05-25 Gal Mendelson

In this article we approach a class of stochastic reachability problems with state constraints from an optimal control perspective. Preceding approaches to solving these reachability problems are either confined to the deterministic setting…

Optimization and Control · Mathematics 2017-11-27 Peyman Mohajerin Esfahani , Debasish Chatterjee , John Lygeros

There has been tremendous progress in algorithmic methods for computing driving directions on road networks. Most of that work focuses on time-independent route planning, where it is assumed that the cost on each arc is constant per query.…

Data Structures and Algorithms · Computer Science 2015-12-31 Moritz Baum , Julian Dibbelt , Thomas Pajor , Dorothea Wagner

With an increasing need for more flexible mobility services, we consider an operational problem arising in the planning of Demand Adaptive Systems (DAS). Motivated by the decision of whether to accept or reject passenger requests in real…

Optimization and Control · Mathematics 2025-03-12 Benedikt Lienkamp , Mike Hewitt , Axel Parmentier , Maximilian Schiffer

With the proliferation of ride-hailing services, curb space in urban areas has become highly congested due to the massive passenger pick-ups and drop-offs. Particularly during peak hours, the massive ride-hailing vehicles waiting to drop…

Optimization and Control · Mathematics 2025-06-17 Yao Deng , Zhi-Chun Li , Sean Qian , Wei Ma

We present in this article traffic flow and control models for the train dynamics in metro lines. The first model, written in the max-plus algebra, takes into account minimum running, dwell and safety time constraints, without any control…

Optimization and Control · Mathematics 2018-01-09 Nadir Farhi , Cyril Nguyen Van Phu , Habib Haj-Salem , Jean-Patrick Lebacque

A widely adopted two-dimensional Markov chain model of the IEEE 802.11 DCF was introduced by Bianchi to characterize the backoff behavior of a single node under a saturated traffic condition. Using this approach, we propose a queuing model…

Networking and Internet Architecture · Computer Science 2012-01-12 Dongjie Yin , Pui King Wong , Tony T. Lee

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

Probability · Mathematics 2018-05-02 Rami Atar , Asaf Cohen

Existing drift detection methods focus on designing sensitive test statistics. They treat the detection threshold as a fixed hyperparameter, set once to balance false alarms and late detections, and applied uniformly across all datasets and…

Machine Learning · Computer Science 2025-11-14 Pengqian Lu , Jie Lu , Anjin Liu , En Yu , Guangquan Zhang

Denied boarding in congested transit systems induces queuing delays and departure-time shifts that can reshape passenger flows. Correctly modeling these responses in transit assignment hinges on the enforcement of two priority rules:…

Computer Science and Game Theory · Computer Science 2026-01-13 Liyang Feng , Hanlin Sun , Yu Marco Nie , Jun Xie , Jiayang Li

While conventional shared demand-responsive transportation (SDRT) systems mostly operate on a door-to-door policy, the usage of meeting points for the pick-up and drop-off of user groups can offer several advantages, like fewer stops and…