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E-commerce Web-servers often face overload conditions during which revenue-generating requests may be dropped or abandoned due to an increase in the browsing requests. In this paper we present a simple, yet effective, mechanism for overload…

Performance · Computer Science 2007-05-23 Naresh Singhmar , Vipul Mathur , Varsha Apte , D. Manjunath

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…

Dynamical Systems · Mathematics 2021-08-11 Philip Doldo , Jamol Pender , Richard Rand

The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and…

Statistical Mechanics · Physics 2015-05-30 Cyril Furtlehner , Jean-Marc Lasgouttes , Maxim Samsonov

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

Probability · Mathematics 2009-12-15 N. S. Walton

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 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

With the prevalence of intelligent mobile applications, edge learning is emerging as a promising technology for powering fast intelligence acquisition for edge devices from distributed data generated at the network edge. One critical task…

Networking and Internet Architecture · Computer Science 2019-10-08 Dongzhu Liu , Guangxu Zhu , Jun Zhang , Kaibin Huang

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…

Physics and Society · Physics 2012-06-05 Hang-Hyun Jo , Raj Kumar Pan , Kimmo Kaski

Kingman has shown, under very weak conditions on the interarrival- and sevice-time distributions, that First-Come-First-Served minimizes the variance of the waiting time among possible service disciplines. We show, under the same…

Probability · Mathematics 2011-06-02 Patrick Eschenfeldt , Ben Gross , Nicholas Pippenger

Given a random variable $N$ with values in ${\mathbb{N}}$, and $N$ i.i.d. positive random variables $\{\mu_k\}$, we consider a queue with renewal arrivals and $N$ exponential servers, where server $k$ serves at rate $\mu_k$, under two work…

Probability · Mathematics 2008-08-22 Rami Atar

This paper considers the mean waiting times in discrete-time preemptive-resume and nonpreemptive priority single-server queues fed by K independent batch Markovian arrival streams with geometrically distributed idle periods. While being…

Probability · Mathematics 2026-04-28 Tetsuya Takine

This work considers a many-server queueing system in which customers with i.i.d., generally distributed service times enter service in the order of arrival. The dynamics of the system is represented in terms of a process that describes the…

Probability · Mathematics 2007-08-08 Haya Kaspi , Kavita Ramanan

We study a dynamic scheduling problem for a multi-class queueing network with a large pool of statistically identical servers. The arrival processes are Poisson, and service times and patience times are assumed to be exponentially…

Probability · Mathematics 2015-10-30 Ari Arapostathis , Anup Biswas , Guodong Pang

Early classification of time series has been extensively studied for minimizing class prediction delay in time-sensitive applications such as healthcare and finance. A primary task of an early classification approach is to classify an…

Machine Learning · Computer Science 2020-10-19 Ashish Gupta , Hari Prabhat Gupta , Bhaskar Biswas , Tanima Dutta

The objective of this paper is to initiate a qualitative analysis of dynamic flow in traffic networks by using the competitive equilibrium model of multiple market systems. A network is modeled as a dynamic graph where routes (edges) are…

Systems and Control · Computer Science 2017-11-30 Dragoslav D. Šiljak

Despite the significant advances in vehicle automation and electrification, the next-decade aspirations for massive deployments of autonomous electric mobility on demand (AEMoD) services are still threatened by two major bottlenecks, namely…

Signal Processing · Electrical Eng. & Systems 2018-05-01 Syrine Belakaria , Mustafa Ammous , Sameh Sorour , Ahmed Abdel-Rahimyz

With the advent of 5G and the evolution of Internet protocols, industrial applications are moving from vertical solutions to general purpose IP-based infrastructures that need to meet deterministic Quality of Service (QoS) requirements. The…

Networking and Internet Architecture · Computer Science 2020-10-29 Jonatan Krolikowski , Sebastien Martin , Paolo Medagliani , Jeremie Leguay , Shuang Chen , Xiaodong Chang , Xuesong Geng

In this paper we solve a particular stochastic recursion in the stationary ergodic framework, and propose some applications of this result to the study of regenerativity (that is, finiteness of busy cycles) and stationarity of some queueing…

Probability · Mathematics 2010-09-08 Pascal Moyal

We study a class of scheduling problems, where each job is divided into a batch of unit-size tasks and these tasks can be executed in parallel on multiple servers with New-Better-than-Used (NBU) service time distributions. While many delay…

Networking and Internet Architecture · Computer Science 2023-10-02 Yin Sun , C. Emre Koksal , Ness B. Shroff

The use of Ethernet switched networks usually involves best effort service. A recent effort by the IEEE 802.1/3 TSN group has sought to standardize the Ethernet data-link protocol such that it operates on a deterministic service in addition…

Networking and Internet Architecture · Computer Science 2019-10-04 Ahmed Nasrallah , Venkatraman Balasubramanian , Akhilesh Thyagaturu , Martin Reisslein , Hesham ElBakoury