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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

In Naor's model [17], customers decide whether or not to join a queue after observing its length. This work considers a variation in which customers are heterogeneous in their service value (reward) $R$ from completed service and…

Statistics Theory · Mathematics 2026-03-25 Daniel Podorojnyi , Liron Ravner

This paper studies an infinite buffer single server queueing model with exponentially distributed service times and negative arrivals. The ordinary (positive) customers arrive in batches of random size according to renewal arrival process,…

Probability · Mathematics 2023-01-13 U. C. Gupta , Nitin Kumar , F. P. Barbhuiya

Parking occupancy in the area is defined by three major parameters - the rate of cars arrivals, the dwell time of already parked cars, and the willingness of drivers who are searching but yet did not find a vacant parking spot, to continue…

Physics and Society · Physics 2022-10-27 Aleksey Ogulenko , Itzhak Benenson , Nir Fulman

We present how we formalize the waiting tables task in a restaurant as a robot planning problem. This formalization was used to test our recently developed algorithms that allow for optimal planning for achieving multiple independent tasks…

Robotics · Computer Science 2021-05-24 Anahita Mohseni-Kabir , Manuela Veloso , Maxim Likhachev

We consider polling models in the sense of Takagi (MIT Press, 1986). In our case, the feature of the server is that it may be forced to wait idly for new messages at an empty queue instead of switching to the next station. We propose four…

Probability · Mathematics 2016-12-15 Frank Aurzada , Sebastian Schwinn

We analyze a tandem network of polling queues with two product types and two stations. We assume that external arrivals to the network follow a Poisson process, and service times at each station are exponentially distributed. For this…

Performance · Computer Science 2021-05-25 Ravi Suman , Ananth Krishnamurthy

Motivated by the increasing use of online appointment booking platforms, we study how to offer appointment slots to customers in order to maximize the total number of slots booked. We develop two models, non-sequential offering and…

Optimization and Control · Mathematics 2017-12-25 Nan Liu , Peter M. van de Ven , Bo Zhang

A discrete-time decentralized routing problem in a service system consisting of two service stations and two controllers is investigated. Each controller is affiliated with one station. Each station has an infinite size buffer. Exogenous…

Systems and Control · Computer Science 2014-09-04 Yi Ouyang , Demosthenis Teneketzis

We consider a queueing system composed of a dispatcher that routes deterministically jobs to a set of non-observable queues working in parallel. In this setting, the fundamental problem is which policy should the dispatcher implement to…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Bruno Gaujal , Tommaso Nesti

We studied the room evacuation problem within the context of the Social Force Model. We focused on a system of 225 pedestrians escaping from a room in different anxiety levels, and analyzed the clogging delays as the relevant magnitude…

Physics and Society · Physics 2020-07-15 F. E. Cornes , G. A. Frank , C. O. Dorso

The capability of traffic-information systems to sense the movement of millions of users and offer trip plans through mobile phones has enabled a new way of optimizing city traffic dynamics, turning transportation big data into insights and…

Social and Information Networks · Computer Science 2021-07-19 Fan Yang , Alina Vereshchaka , Bruno Lepri , Wen Dong

Public transport is vital for meeting people's mobility needs. Providers need to plan their services well to offer high quality and low cost. Optimized planning can benefit providers, customers, and municipalities. The planning process for…

Optimization and Control · Mathematics 2023-10-23 Lucas Mertens , Lena-Antonia Wolbeck , David Rößler , Lin Xie , Natalia Kliewer

In a given scenario, simultaneously and accurately predicting every possible interaction of traffic participants is an important capability for autonomous vehicles. The majority of current researches focused on the prediction of an single…

Machine Learning · Computer Science 2018-10-31 Yeping Hu , Wei Zhan , Masayoshi Tomizuka

Bus systems involve complex bus-bus and bus-passengers interactions. We study the problem of assigning buses to bus stops to minimise the average waiting time of passengers, W. An analytical theory for two specific cases of interactions is…

Physics and Society · Physics 2021-08-25 Luca Vismara , Lock Yue Chew , Vee-Liem Saw

We consider a polling system with two queues, exhaustive service, no switch-over times and exponential service times. The waiting cost depends on the position of the queue relative to the server: It costs a customer c per time unit to wait…

Probability · Mathematics 2016-08-11 I. J. B. F. Adan , V. G. Kulkarni , N. Lee , A. A. J Lefeber

Transport demand is highly dependent on supply, especially for shared transport services where availability is often limited. As observed demand cannot be higher than available supply, historical transport data typically represents a…

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

Pedestrian crowds often include social groups, i.e. pedestrians that walk together because of social relationships. They show characteristic configurations and influence the dynamics of the entire crowd. In order to investigate the impact…

Physics and Society · Physics 2017-04-05 Cornelia von Krüchten , Andreas Schadschneider

We consider a distribution logistics scenario where a shipping operator, managing a limited amount of resources, receives a stream of collection requests, issued by a set of customers along a booking time-horizon, that are referred to a…

Optimization and Control · Mathematics 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico
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