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Consider a single server queue with renewal arrivals and i.i.d. service times in which the server operates under a processor sharing service discipline. To describe the evolution of this system, we use a measure valued process that keeps…

Probability · Mathematics 2007-05-23 H. Christian Gromoll

This paper considers a GI/GI/1 processor sharing queue in which jobs have soft deadlines. At each point in time, the collection of residual service times and deadlines is modeled using a random counting measure on the right half-plane. The…

Probability · Mathematics 2009-09-29 H. Christian Gromoll , Łukasz Kruk

The Join-the-Shortest Queue (JSQ) policy is a classical benchmark for the performance of many-server queueing systems due to its strong optimality properties. While the exact analysis of the JSQ policy is an open question to date, even…

Probability · Mathematics 2025-05-27 Zhisheng Zhao , Sayan Banerjee , Debankur Mukherjee

We study the steady-state performance of parallel-server systems under an immediate routing architecture with two sources of heterogeneity: servers and job classes, subject to compatibility constraints. We focus on the…

Probability · Mathematics 2025-09-25 Yaosheng Xu

Multicore parallel programming has some very difficult problems such as deadlocks during synchronizations and race conditions brought by concurrency. Added to the difficulty is the lack of a simple, well-accepted computing model for…

Programming Languages · Computer Science 2010-12-09 Yibing Wang

Mobile Edge Computing (MEC) holds excellent potential in Congestion Management (CM) of 6G vehicular networks. A reasonable schedule of MEC ensures a more reliable and efficient CM system. Unfortunately, existing parallel and sequential…

Networking and Internet Architecture · Computer Science 2023-06-16 Ke Deng , Zhiyuan He , Haohan Lin , Hao Zhang , Desheng Wang

We consider the FCFS $GI/GI/n$ queue, and prove the first simple and explicit bounds that scale as $\frac{1}{1-\rho}$ under only the assumption that inter-arrival times have finite second moment, and service times have finite $2+\epsilon$…

Probability · Mathematics 2023-06-06 David A. Goldberg , Yuan Li

We study distributed load balancing in bipartite queueing systems where frontends route jobs to heterogeneous backends with workload-dependent service rates. The system's connectivity -- governed by compatibility constraints such as data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-25 Wenxin Zhang , Santiago R. Balseiro , Robert Kleinberg , Vahab Mirrokni , Balasubramanian Sivan , Bartek Wydrowski

This work studies a well-known shared-cache coded caching scenario where each cache can serve an arbitrary number of users, analyzing the case where there is some knowledge about such number of users (i.e., the topology) during the content…

Information Theory · Computer Science 2023-02-21 Emanuele Parrinello , Antonio Bazco-Nogueras , Petros Elia

In this paper, we study systems where each job or request can be split into a flexible number of sub-jobs up to a maximum limit. The number of sub-jobs a job is split into depends on the number of available servers found upon its arrival.…

Probability · Mathematics 2023-09-04 Samira Ghanbarian , Arpan Mukhopadhyay , Fabrice M. Guillemin , Ravi R. Mazumdar

In this paper, a multi-user multi-server queuing system is studied in which each user is constrained to get service from a subset of servers. In the studied system, rate allocation in the sense of max-min fairness results in multi-level…

Networking and Internet Architecture · Computer Science 2016-01-20 Jalal Khamse-Ashari , Ioannis Lambadaris , Yiqiang Zhao

Fork-Join (FJ) queueing models capture the dynamics of system parallelization under synchronization constraints, for example, for applications such as MapReduce, multipath transmission and RAID systems. Arriving jobs are first split into…

Performance · Computer Science 2017-02-03 Wasiur R. KhudaBukhsh , Amr Rizk , Alexander Frömmgen , Heinz Koeppl

Clustered federated Multitask learning is introduced as an efficient technique when data is unbalanced and distributed amongst clients in a non-independent and identically distributed manner. While a similarity metric can provide client…

Networking and Internet Architecture · Computer Science 2023-05-02 Abdullatif Albaseer , Mohamed Abdallah , Ala Al-Fuqaha , Abegaz Mohammed , Aiman Erbad , Octavia A. Dobre

Traffic classification has various applications in today's Internet, from resource allocation, billing and QoS purposes in ISPs to firewall and malware detection in clients. Classical machine learning algorithms and deep learning models…

Machine Learning · Computer Science 2021-01-25 Shahbaz Rezaei , Xin Liu

Heterogeneous multi-cores utilize the strength of different architectures for executing particular types of workload, and usually offer higher performance and energy efficiency. In this paper, we study the worst-case response time (WCRT)…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Meiling Han , Nan Guan , Jinghao Sun , Qingqiang He , Qingxu Deng , Weichen Liu

Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a {($\alpha,g$)-switch policy} which combines the MaxWeight policies with…

Systems and Control · Computer Science 2014-04-11 Neil Walton

In this paper, we consider multiple cache-enabled clients connected to multiple servers through an intermediate network. We design several topology-aware coding strategies for such networks. Based on topology richness of the intermediate…

Information Theory · Computer Science 2015-03-03 Seyed Pooya Shariatpanahi , Seyed Abolfazl Motahari , Babak Hossein Khalaj

In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

Machine Learning · Statistics 2025-05-07 Jung-hun Kim , Min-hwan Oh

Network capacity region of multi-queue multi-server queueing system with random ON-OFF connectivities and stationary arrival processes is derived in this paper. Specifically, the necessary and sufficient conditions for the stability of the…

Information Theory · Computer Science 2010-01-14 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

These days enterprise applications try to integrate online processing and batch jobs into a common software stack for seamless monitoring and driverless operations. Continuous integration of these systems results in choking of the poorly…

Performance · Computer Science 2015-12-16 Subrata Ashe
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