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Arrival times of requests to print in a student laboratory were analyzed. Inter-arrival times between subsequent requests follow a universal scaling law relating time intervals and the size of the request, indicating a scale invariant…

Performance · Computer Science 2011-11-09 Uli Harder , Maya Paczuski

Performance modeling is a key issue in queuing theory and operation research. It is well-known that the length of a queue that awaits service or the time spent by a job in a queue depends not only on the service rate, but also crucially on…

Statistical Mechanics · Physics 2024-04-16 Reshmi Roy , Arup Biswas , Arnab Pal

Inspired by the work of Atar and Miyazawa [1] (2026) as well as applications to energy-saving problems, we are interested in the heavy-traffic limit of the stationary queue length distribution, which is not addressed in [1]. In this paper,…

Probability · Mathematics 2026-04-13 Masahiro Kobayashi , Masakiyo Miyazawa , Yutaka Sakuma

We study $n$ parallel queues in an extreme heavy-traffic regime: each server works at rate $n$, while jobs arrive to a dispatcher at rate $n^2-(a-b)\sqrt{n}$, with fixed $a>b>0$. Arrivals are routed by a marginal join-the-shortest-queue…

Probability · Mathematics 2026-05-19 Sayan Banerjee , Amarjit Budhiraja , Eva Loeser

We study how the choice of packet scheduling algorithms influences end-to-end performance on long network paths. Taking a network calculus approach, we consider both deterministic and statistical performance metrics. A key enabling…

Networking and Internet Architecture · Computer Science 2011-01-07 Yashar Ghiassi-Farrokhfal , Jorg Liebeherr , Almut Burchard

This paper is motivated by the observation that the average queueing delay can be decreased by sacrificing power efficiency in wireless communications. In this sense, we naturally wonder what is the minimum queueing delay when the available…

Information Theory · Computer Science 2018-07-27 Meng Wang , Juan Liu , Wei Chen , Anthony Ephremides

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees, defined by instantaneous throughput and hard packet deadlines. Using a network slicing model to decouple the queueing dynamics between flows,…

Networking and Internet Architecture · Computer Science 2026-04-21 Nicholas Jones , Eytan Modiano

This paper presents a heavy traffic analysis of the behavior of multi-class acyclic queueing networks in which the customers have deadlines. We assume the queueing system consists of J stations, and there are K different customer classes.…

Probability · Mathematics 2016-09-07 Lukasz Kruk , John Lehoczky , Steven Shreve , Shu-Ngai Yeung

Inductive biases influence the behavior and performance of sequential models. In this work, we study an underexplored inductive bias in sequential modeling: continuity in time. We ask a simple question: do models motivated by…

Machine Learning · Computer Science 2026-05-12 Annan Yu , Dongwei Lyu , N. Benjamin Erichson

We study single-machine scheduling of jobs, each belonging to a job type that determines its duration distribution. We start by analyzing the scenario where the type characteristics are known and then move to two learning scenarios where…

Machine Learning · Computer Science 2023-06-02 Nadav Merlis , Hugo Richard , Flore Sentenac , Corentin Odic , Mathieu Molina , Vianney Perchet

Multi-server queueing systems are widely used models for job scheduling in machine learning, wireless networks, crowdsourcing, and healthcare systems. This paper considers a multi-server system with multiple servers and multiple types of…

Machine Learning · Computer Science 2023-06-05 Zixian Yang , R. Srikant , Lei Ying

We consider the delay properties of max-weight opportunistic scheduling in a multi-user ON/OFF wireless system, such as a multi-user downlink or uplink. It is well known that max-weight scheduling stabilizes the network (and hence yields…

Optimization and Control · Mathematics 2009-01-02 Michael J. Neely

The role of specific cognitive processes in deviations from constant discounting in intertemporal choice is not well understood. We evaluated decreased impatience in intertemporal choice tasks independent of discounting rate and…

Theoretical Economics · Economics 2020-12-22 Camila S. Agostino Peter M. E. Claessens , Fuat Balci , Yossi Zana

In real-world decision making, outcomes are often delayed, meaning individuals must make multiple decisions before receiving any feedback. Moreover, feedback can be presented in different ways: it may summarize the overall results of…

Human-Computer Interaction · Computer Science 2025-05-16 Tailia Malloy , Maria Jose Ferreira , Fei Fang , Cleotilde Gonzalez

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 consider a two-queue polling model with switch-over times and $k$-limited service (serve at most $k_i$ customers during one visit period to queue $i$) in each queue. The major benefit of the $k$-limited service discipline is that it -…

Probability · Mathematics 2016-03-07 Marko Boon , Erik Winands

We consider a queueing system with $n$ parallel queues operating according to the so-called "supermarket model" in which arriving customers join the shortest of $d$ randomly selected queues. Assuming rate $n\lambda_{n}$ Poisson arrivals and…

Probability · Mathematics 2017-01-19 Patrick Eschenfeldt , David Gamarnik

We introduce a novel adversarial model for scheduling with explorable uncertainty. In this model, the processing time of a job can potentially be reduced (by an a priori unknown amount) by testing the job. Testing a job $j$ takes one unit…

Data Structures and Algorithms · Computer Science 2020-05-15 Christoph Dürr , Thomas Erlebach , Nicole Megow , Julie Meißner

We use a series of pre-registered, incentive-compatible online experiments to investigate how people evaluate and choose among different waiting time distributions. Our main findings are threefold. First, consistent with prior literature,…

General Economics · Economics 2026-02-09 Evgeny Kagan , Kyle Hyndman , Andrew Davis

We study a stochastic particle system which models the time evolution of the ranking of books by online bookstores (e.g., Amazon). In this system, particles are lined in a queue. Each particle jumps at random jump times to the top of the…

Probability · Mathematics 2009-08-22 Kumiko Hattori , Tetsuya Hattori
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