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Related papers: Markov-modulated on/off processes for long-range d…

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We study multiclass many-server queues for which the arrival, service and abandonment rates are all modulated by a common finite-state Markov process. We assume that the system operates in the "averaged" Halfin-Whitt regime, which means…

Probability · Mathematics 2019-07-15 Ari Arapostathis , Anirban Das , Guodong Pang , Yi Zheng

In-network caching is likely to become an integral part of various networked systems (e.g., 5G networks, LPWAN and IoT systems) in the near future. In this paper, we compare and contrast model-based and machine learning approaches for…

Networking and Internet Architecture · Computer Science 2020-04-16 Adita Kulkarni , Anand Seetharam

Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small relative to the session duration tail,…

Probability · Mathematics 2010-12-08 Luis Lopez-Oliveros , Sidney I. Resnick

We consider a model describing the waiting time of a server alternating between two service points. This model is described by a Lindley-type equation. We are interested in the time-dependent behaviour of this system and derive explicit…

Probability · Mathematics 2014-04-23 Maria Vlasiou , Bert Zwart

In transportation and other types of facilities, various queues arise when the demands of service are higher than the supplies, and many point and fluid queue models have been proposed to study such queueing systems. However, there has been…

Dynamical Systems · Mathematics 2014-05-30 Wen-Long Jin

Modern networks exhibit a high degree of variability in link rates. Cellular network bandwidth inherently varies with receiver motion and orientation, while class-based packet scheduling in datacenter and service provider networks induces…

Networking and Internet Architecture · Computer Science 2022-02-10 Prateesh Goyal , Mohammad Alizadeh , Thomas E. Anderson

The rapid growth of the automotive industry has exacerbated the conflict between the complex traffic environment, increasing communication demands, and limited resources. Given the imperative to mitigate traffic and network congestion,…

Networking and Internet Architecture · Computer Science 2024-07-17 Jialin Hu , Zhiyuan Ren , Wenchi Cheng , Zhiliang Shuai , Zhao Li

The paper deals with a certain class of random evolutions. We develop a construction that yields an invariant measure for a continuous-time Markov process with random transitions. The approach is based on a particular way of constructing…

Probability · Mathematics 2015-10-20 Y. Belopolskaya , Y. Suhov

In order to maintain consistent quality of service, computer network engineers face the task of monitoring the traffic fluctuations on the individual links making up the network. However, due to resource constraints and limited access, it…

Applications · Statistics 2010-05-26 Joel Vaughan , Stilian A. Stoev , George Michailidis

It is well known that building analytical performance models in practice is difficult because it requires a considerable degree of proficiency in the underlying mathematics. In this paper, we propose a machine-learning approach to derive…

Performance · Computer Science 2020-02-26 Giulio Garbi , Emilio Incerto , Mirco Tribastone

The performance of non-preemptive M/M/1 queueing system with two priority is analyzed. By using complementary variable method to make vector Markov process and analyzing the state-change equations of the queueing system, the generating…

Optimization and Control · Mathematics 2009-02-13 Zhao Guo-xi , Hu Qi-Zhou

To leverage prediction models to make optimal scheduling decisions in service systems, we must understand how predictive errors impact congestion due to externalities on the delay of other jobs. Motivated by applications where prediction…

Optimization and Control · Mathematics 2026-01-06 Jiung Lee , Hongseok Namkoong , Yibo Zeng

Queue length monitoring is a commonly arising problem in numerous applications such as queue management systems, scheduling, and traffic monitoring. Motivated by such applications, we formulate a queue monitoring problem, where there is a…

Data Structures and Algorithms · Computer Science 2025-04-28 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

Computer network tends to be subjected to the proliferation of mobile demands and increasingly multifarious, therefore it poses a great challenge to guarantee the quality of network service. By designing the model according to different…

Networking and Internet Architecture · Computer Science 2021-01-22 Yue Hong Gao , Xiao Hong , Hao Tian Yang , Lu Chen , Xiao Nan Zhang

The growth of Machine-Type Communication (MTC) increases the relevance of queuing scenarios with deterministic service times. In this letter, we present a model for queues without waiting lines and with degenerate service time distributions…

Networking and Internet Architecture · Computer Science 2020-09-10 René Brandborg Sørensen , Jimmy Jessen Nielsen , Petar Popovski

The dynamics of human mobility characterizes the trajectories humans follow during their daily activities and is the foundation of processes from epidemic spreading to traffic prediction and information recommendation. In this paper, we…

Physics and Society · Physics 2015-06-16 Zhi-Dan Zhao , Shi-Min Cai , Yang Lu

Markov decision processes continue to gain in popularity for modeling a wide range of applications ranging from analysis of supply chains and queuing networks to cognitive science and control of autonomous vehicles. Nonetheless, they tend…

Optimization and Control · Mathematics 2023-12-07 Ali Eshragh

The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source…

Probability · Mathematics 2010-08-17 Clément Dombry , Ingemar Kaj

Throughput and energy efficiency in fading channels are studied in the presence of randomly arriving data and statistical queueing constraints. In particular, Markovian arrival models including discrete-time Markov, Markov fluid, and…

Information Theory · Computer Science 2015-09-15 Mustafa Ozmen , M. Cenk Gursoy

Analysis of aggregate Web traffic has shown that PageRank is a poor model of how people actually navigate the Web. Using the empirical traffic patterns generated by a thousand users over the course of two months, we characterize the…

Human-Computer Interaction · Computer Science 2010-04-27 Bruno Goncalves , Mark R. Meiss , Jose J. Ramasco , Alessandro Flammini , Filippo Menczer
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