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Giving customers queue length information about a service system has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the information that they…

动力系统 · 数学 2021-08-11 Philip Doldo , Jamol Pender , Richard Rand

Delay or queue length information has the potential to influence the decision of a customer to use a service system. Thus, it is imperative for service system managers to understand how the information that they provide will affect the…

最优化与控制 · 数学 2016-10-07 Jamol Pender , Richard H. Rand , Elizabeth Wesson

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information our model considers multi-server queues with customer…

动力系统 · 数学 2021-12-14 Philip Doldo , Jamol Pender

Understanding the detailed queueing behavior of a networking session is critical in enabling low-latency services over the Internet. Especially when the packet arrival and service rates at the queue of a link vary over time and moreover…

网络与互联网体系结构 · 计算机科学 2017-04-25 Wonjun Hwang , Yoora Kim , Kyunghan Lee

We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

概率论 · 数学 2017-11-28 Lam M. Nguyen , Alexander Stolyar

Strategic customer behavior is strongly influenced by the level of information that is provided to customers. Hence, to optimize the design of queueing systems, many studies consider various versions of the same service model and compare…

最优化与控制 · 数学 2019-06-14 Yiannis Dimitrakopoulos , Antonis Economou , Stefanos Leonardos

Many service systems use technology to notify customers about their expected waiting times or queue lengths via delay announcements. However, in many cases, either the information might be delayed or customers might require time to travel…

动力系统 · 数学 2019-02-21 Sophia Novitzky , Jamol Pender , Richard Rand , Elizabeth Wesson

We obtain asymptotic bounds for the tail distribution of steady-state waiting time in a two server queue where each server processes incoming jobs at a rate equal to the rate of their arrivals (that is, the half-loaded regime). The job…

概率论 · 数学 2016-04-05 Jose Blanchet , Karthyek Murthy

In this paper, we study queueing systems with delayed information that use a generalization of the multinomial logit choice model as its arrival process. Previous literature assumes that the functional form of the multinomial logit model is…

动力系统 · 数学 2022-11-23 Philip Doldo , Jamol Pender

This paper studies information asymmetry in an unobservable single-server queueing system. While system managers have knowledge of the true arrival rate, customers may lack this information and instead form arbitrary beliefs. We propose a…

最优化与控制 · 数学 2025-10-14 Shunan Zheng , John Hasenbein

Modern Internet services, such as those at Google, Yahoo!, and Amazon, handle billions of requests per day on clusters of thousands of computers. Because these services operate under strict performance requirements, a statistical…

机器学习 · 统计学 2011-04-18 Charles Sutton , Michael I. Jordan

This paper studies a service system in which arriving customers are provided with information about the delay they will experience. Based on this information they decide to wait for service or to leave the system. Specifically, every…

概率论 · 数学 2022-08-31 Yoshiaki Inoue , Liron Ravner , Michel Mandjes

Rather than directly considering the queuing delay of data, this memo focuses on reducing the delay that congestion signals experience within a queue management algorithm, which can be greater than the delay that the data itself experiences…

网络与互联网体系结构 · 计算机科学 2019-04-16 Bob Briscoe

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

We study a queueing system with Erlang arrivals with $k$ phases and Erlang service with $m$ phases. Transition rates among phases vary periodically with time. For these systems, we derive the asymptotic periodic distribution of the level…

概率论 · 数学 2021-07-29 Barbara Margolius

Tandem queues with finite buffer capacity commonly exist in practical applications. By viewing a tandem queue as an integrated system, an innovative approach has been developed to analyze its performance through the insight from reduction…

性能 · 计算机科学 2016-06-02 Kan Wu , Ning Zhao

Queuing models provide insight into the temporal inhomogeneity of human dynamics, characterized by the broad distribution of waiting times of individuals performing tasks. We study the queuing model of an agent trying to execute a task of…

物理与社会 · 物理学 2012-06-05 Hang-Hyun Jo , Raj Kumar Pan , Kimmo Kaski

Motivated by interest in providing more efficient services in customer service systems, we use statistical learning methods and delay history information to predict the conditional distribution of the customers' waiting times in queueing…

性能 · 计算机科学 2019-12-19 Majid Raeis , Ali Tizghadam , Alberto Leon-Garcia

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…

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

We introduce a multiclass single-server queueing system in which the arrival rates depend on the current job in service. The system is characterized by a matrix of arrival rates in lieu of a vector of arrival rates. Our proposed model…

概率论 · 数学 2018-08-21 Philip Ernst , Søren Asmussen , John Hasenbein
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