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This paper proposes a novel max-pressure (MP) algorithm that incorporates pedestrian traffic into the MP control architecture. Pedestrians are modeled as being included in one of two groups: those walking on sidewalks and those queued at…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Hao Liu , Vikash V. Gayah , Michael Levin

Crowding in train cars is increasingly a major concern for transit agencies. From the perspective of the passengers and the transit agencies, overcrowding of the train cars has several negative consequences such as: (i) extended duration of…

Signal Processing · Electrical Eng. & Systems 2018-08-22 Peter Khomchuk , Saurav R Tuladhar , Siva Sivananthan

In pedestrian dynamics, the internal drive that propels individuals toward their goals is typically captured by a single, fixed parameter, the desired walking speed. This simplification overlooks that motivation fluctuates in response to…

Physics and Society · Physics 2026-05-04 Ezel Üsten , Anna Sieben , Mohcine Chraibi , Armin Seyfried

The performance of Emergency Departments (EDs) is of great importance for any health care system, as they serve as the entry point for many patients. However, among other factors, the variability of patient acuity levels and corresponding…

Machine Learning · Computer Science 2022-06-09 Nikolaus Furian , Michael O'Sullivan , Cameron Walker , Melanie Reuter-Oppermann

We consider a general polling model with $N$ stations. The stations are served exhaustively and in cyclic order. Once a station queue falls empty, the server does not immediately switch to the next station. Rather, it waits at the station…

Probability · Mathematics 2010-09-01 Frank Aurzada , Sergej Beck , Michael Scheutzow

We consider the problem of staffing large-scale service systems with multiple customer classes and multiple dedicated server pools under joint quality-of-service (QoS) constraints. We first analyze the case in which arrival rates are…

Probability · Mathematics 2013-04-25 Jing Zan , John J. Hasenbein , David P. Morton

Shared rides are often considered to be a promising travel alternative that could efficiently pool people together while offering a door-to-door service. Notwithstanding, even though demand distribution patterns are expected to greatly…

Physics and Society · Physics 2024-09-17 Jaime Soza-Parra , Rafał Kucharski , Oded Cats

In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

Machine Learning · Statistics 2025-05-07 Jung-hun Kim , Min-hwan Oh

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

Data Structures and Algorithms · Computer Science 2016-08-23 Karen Aardal , Pierre Le Bodic

We illustrate that the electrification of our transport system might impose unnecessary extra congestion and delay for daily commuting passengers. By modelling travel behaviors of these passengers, it is found that more of them tend to…

Systems and Control · Electrical Eng. & Systems 2020-09-23 Tao Wang , Ying Yang , Tieqiao Tang , Xiaobo Qu

Two models of a queue are proposed: a human queue and two lines of vehicles before a narrowing. In both models, a queuer tries to evaluate his waiting time, taking into account the delay caused by intruders who jump to the queue front. As…

Physics and Society · Physics 2023-07-19 M. J. Krawczyk , P. Gronek , M. Nawojczyk , K. Kulakowski

Many stochastic systems have arrival processes that exhibit clustering behavior. In these systems, arriving entities influence additional arrivals to occur through self-excitation of the arrival process. In this paper, we analyze an…

Probability · Mathematics 2018-05-10 Andrew Daw , Jamol Pender

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

We design an optimal group boarding method using a stochastic cellular automata model for passenger movements, which is extended by a virus transmission approach. Furthermore, a new mathematical model is developed to determine an…

Physics and Society · Physics 2021-04-01 Michael Schultz , Majid Soolaki

We establish heavy-traffic stochastic-process limits for waiting times in many-server queues with customer abandonment. If the system is asymptotically critically loaded, as in the quality-and-efficiency-driven (QED) regime, then a bounding…

Probability · Mathematics 2009-12-10 Rishi Talreja , Ward Whitt

In many applications of social navigation, existing works have shown that predicting and reasoning about human intentions can help robotic agents make safer and more socially acceptable decisions. In this work, we study this problem for…

Robotics · Computer Science 2026-03-06 Long Kiu Chung , David Isele , Faizan M. Tariq , Sangjae Bae , Shreyas Kousik , Jovin D'sa

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

Multiagent Systems · Computer Science 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

We study a pickup-and-delivery problem that arises when customers randomly submit requests over the course of a day from a choice of vendors on a collaborative e-commerce portal. Based on the attributes of a customer request, a dispatcher…

Optimization and Control · Mathematics 2024-08-15 Sara Stoia , Demetrio Laganà , Jeffrey W. Ohlmann

Many settings, such as matching riders to drivers in ride-hailing platforms or in-stream video advertising, require handling arrivals over time. In such applications, it is often beneficial to group the arriving orders or requests into…

Data Structures and Algorithms · Computer Science 2025-08-04 Akhil Bhimaraju , S. Rasoul Etesami , Lav R. Varshney

This paper examines a discrete-time queuing system with applications to telecommunications traffic. The arrival process is a particular Markov modulated process which belongs to the class of discrete batched Markovian arrival processes. The…

Probability · Mathematics 2013-03-28 Richard G. Clegg