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Upon arrival to a ticket queue, a customer is offered a slip of paper with a number on it and is told the number of the customer currently in service. The arriving customer then chooses whether to take the slip or balk, a decision based on…

Probability · Mathematics 2016-10-31 Jamol Pender , Otis Jennings

Bus bunching is a curse of transportation systems such as buses in a loop. Here we present an analytical method to find the number of revolutions before two buses bunch in an idealised system, as a function of the initial distance and the…

Statistical Mechanics · Physics 2021-04-30 Luca Vismara , Vee-Liem Saw , Lock Yue Chew

In an effort to improve user satisfaction and transit image, transit service providers worldwide offer delay compensations. Smart card data enables the estimation of passenger delays throughout the network and aid in monitoring service…

Physics and Society · Physics 2021-07-30 Panchamy Krishnakumari , Oded Cats , Hans van Lint

Consider a population of customers each of which needs to decide independently when to arrive to a facility that provides a service during a fixed period of time, say a day. This is a common scenario in many service systems such as a bank,…

Computer Science and Game Theory · Computer Science 2021-07-27 Moshe Haviv , Liron Ravner

The only acceptable form of polling in the multi-billion dollar survey research field utilizes representative samples. We argue that with proper statistical adjustment, non-representative polling can provide accurate predictions, and often…

Social and Information Networks · Computer Science 2014-07-01 David Rothschild , Sharad Goel , Andrew Gelman , Doug Rivers

Ranking metrics are a family of metrics largely used to evaluate recommender systems. However they typically suffer from the fact the reward is affected by the order in which recommended items are displayed to the user. A classical way to…

Machine Learning · Statistics 2019-09-18 Alexandre Gilotte

We study service scheduling problems in a slotted system in which agents arrive with service requests according to a Bernoulli process and have to leave within two slots after arrival, service costs are quadratic in service rates, and there…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Ramya Burra , Chandramani Singh , Joy Kuri

Elections involving a very large voter population often lead to outcomes that surprise many. This is particularly important for the elections in which results affect the economy of a sizable population. A better prediction of the true…

Computer Science and Game Theory · Computer Science 2018-01-31 Palash Dey , Pravesh K. Kothari , Swaprava Nath

We analyze Assessment Voting, a new two-round voting procedure that can be applied to binary decisions in democratic societies. In the first round, a randomly-selected number of citizens cast their vote on one of the two alternatives at…

Econometrics · Economics 2018-02-06 Hans Gersbach , Akaki Mamageishvili , Oriol Tejada

Power electronic devices such as HVDC and FACTS can be used to improve the damping of poorly damped inter-area modes in large power systems. This involves the use of wide-area feedback signals, which are transmitted via communication…

Systems and Control · Electrical Eng. & Systems 2022-11-17 K. K. Gajjar , Kaustav Dey , A. M. Kulkarni

We propose and analyze a nonlinear opinion dynamics model for an agent making decisions about a continuous distribution of options in the presence of input. Inspired by perceptual decision-making, we develop new theory for opinion formation…

Analysis of PDEs · Mathematics 2024-11-28 Giovanna Amorim , Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

In this paper, we consider the number of both arrivals and departures seen by a tagged customer while in service in a classical $M/M/1$ processor sharing queue. By exploiting the underlying orthogonal structure of this queuing system…

Performance · Computer Science 2019-04-12 Fabrice Guillemin , Veronica Quintuna Rodriguez

Given the busy period and busy cycle major importance in queuing systems, it is crucial the knowledge of the respective distribution functions that is what allows the calculation of the important probabilities. For the M|G|$\infty$ queue…

Performance · Computer Science 2025-05-19 Manuel Alberto M. Ferreira

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

Probability · Mathematics 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

We study an optimal-control problem of polling systems with large switchover times, when a holding cost is incurred on the queues. In particular, we consider a stochastic network with a single server that switches between several buffers…

Probability · Mathematics 2020-09-01 Yue Hu , Jing Dong , Ohad Perry

Stochastic network calculus is an evolving theory which accounts for statistical multiplexing and uses an envelope approach for probabilistic delay and backlog analysis of networks. One of the key ideas of stochastic network calculus is the…

Networking and Internet Architecture · Computer Science 2011-09-30 Kishore Angrishi , Ulrich Killat

Overlap times have been studied as a way of understanding the time of interaction between customers in a service facility. Most of the previous analysis relies on the single jump assumption for arrivals, which implies the queue increases by…

Probability · Mathematics 2023-02-16 Sergio D Palomo , Jamol Pender

Although routing applications increasingly affect individual mobility choices, their impact on collective traffic dynamics remains largely unknown. Smart communication technologies provide accurate traffic data for choosing one route over…

Physics and Society · Physics 2021-11-29 Verena Krall , Max F. Burg , Friedrich Pagenkopf , Henrik Wolf , Marc Timme , Malte Schröder

We consider two-alternative elections where voters' preferences depend on a state variable that is not directly observable. Each voter receives a private signal that is correlated to the state variable. Voters may be "contingent" with…

Computer Science and Game Theory · Computer Science 2022-06-15 Grant Schoenebeck , Biaoshuai Tao

We consider a system consisting of a server alternating between two service points. At both service points there is an infinite queue of customers that have to undergo a preparation phase before being served. We are interested in the…

Probability · Mathematics 2014-04-23 Maria Vlasiou , Ivo J. B. F. Adan