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Related papers: Server saturation in skewed networks

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We consider a variation of the supermarket model in which the servers can communicate with their neighbors and where the neighborhood relationships are described in terms of a suitable graph. Tasks with unit-exponential service time…

Probability · Mathematics 2020-02-27 Amarjit Budhiraja , Debankur Mukherjee , Ruoyu Wu

We study parallel \emph{Load Balancing} protocols for a client-server distributed model defined as follows. There is a set $\sC$ of $n$ clients and a set $\sS$ of $n$ servers where each client has (at most) a constant number $d \geq 1$ of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Andrea Clementi , Emanuele Natale , Isabella Ziccardi

Motivated by a web-server model, we present a queueing network consisting of two layers. The first layer incorporates the arrival of customers at a network of two single-server nodes. We assume that the inter-arrival and the service times…

Probability · Mathematics 2017-01-13 Angelos Aveklouris , Maria Vlasiou , Jiheng Zhang , Bert Zwart

The paper studies closed queueing networks containing a server station and $k$ client stations. The server station is an infinite server queueing system, and client stations are single-server queueing systems with autonomous service, i.e.…

Probability · Mathematics 2008-01-24 Vyacheslav M. Abramov

We consider the fundamental problem of managing a bounded size queue buffer where traffic consists of packets of varying size, where each packet requires several rounds of processing before it can be transmitted from the queue buffer. The…

Networking and Internet Architecture · Computer Science 2013-09-06 Kirill Kogan , Alejandro Lopez-Ortiz , Sergey I. Nikolenko , Gabriel Scalosub , Michael Segal

We consider a multi-class single server queueing network as a model of a packet switching network. The rates packets are sent into this network are controlled by queues which act as congestion windows. By considering a sequence of…

Optimization and Control · Mathematics 2010-11-25 Neil Stuart Walton

We consider load balancing in service systems with affinity relations between jobs and servers. Specifically, an arriving job can be allocated to a fast, primary server from a particular selection associated with this job or to a secondary…

Probability · Mathematics 2018-12-31 Ellen Cardinaels , Sem C. Borst , Johan S. H. van Leeuwaarden

Cache-aided content delivery is studied in a multi-server system with $P$ servers and $K$ users, each equipped with a local cache memory. In the delivery phase, each user connects randomly to any $\rho$ out of $P$ servers. Thanks to the…

Information Theory · Computer Science 2018-04-16 Nitish Mital , Deniz Gunduz , Cong Ling

We study a stochastic network that consists of a set of servers processing multiple classes of jobs. Each class of jobs requires a concurrent occupancy of several servers while being processed, and each server is shared among the job…

Optimization and Control · Mathematics 2007-05-23 Heng-Qing Ye , David D. Yao

We consider a single server queue which has a threshold to change its arrival process and service speed by its queue length, which is referred to as a two-level single server queue. This model is motivated by an energy saving problem for a…

Probability · Mathematics 2025-05-28 Masakiyo Miyazawa

Cache-aided content delivery is studied in a multi-server system with $P$ servers and $K$ users, each equipped with a local cache memory. In the delivery phase, each user connects randomly to any $\rho$ out of $P$ servers. Thanks to the…

Information Theory · Computer Science 2020-03-12 Nitish Mital , Deniz Gunduz , Cong Ling

Server deployment is a fundamental task in mobile edge computing: where to place the edge servers and what user cells to assign to them. To make this decision is context-specific, but common goals are 1) computing efficiency: maximize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-17 Duc A. Tran , Dung Truong , Duy Le

Modern computing workloads are often composed of parallelizable jobs. A parallelizable job can be completed more quickly when run on additional servers. However, each job can only use a limited number of servers, known as its…

Performance · Computer Science 2025-12-30 Benjamin Berg , Benjamin Moseley , Weina Wang , Mor Harchol-Balter

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

With the increasing availability of transaction data collected by digital parking meters, paid curbside parking can be advantageously modeled as a network of interdependent queues. In this article we introduce methods for analyzing a…

Computers and Society · Computer Science 2018-05-15 Chase Dowling , Tanner Fiez , Lillian Ratliff , Baosen Zhang

We study tandem queueing systems in which servers work more efficiently in teams than on their own and customers are impatient in that they may leave the system while waiting for service. Our goal is to determine the server assignment…

Probability · Mathematics 2026-01-23 Bihan Chatterjee , Sigrún Andradóttir , Hayriye Ayhan

We consider load balancing in a network of caching servers delivering contents to end users. Randomized load balancing via the so-called power of two choices is a well-known approach in parallel and distributed systems that reduces network…

Data Structures and Algorithms · Computer Science 2016-10-25 Ali Pourmiri , Mahdi Jafari Siavoshani , Seyed Pooya Shariatpanahi

We study the design of dynamic scheduling controls in closed queueing networks with a fixed number of jobs. Each time a server becomes available, the controller has (limited) flexibility in choosing the buffer from which to serve a job. If…

Probability · Mathematics 2022-10-18 Siddhartha Banerjee , Yash Kanoria , Pengyu Qian

In this work, we consider a computational model of a distributed system formed by a set of servers in which jobs, that are continuously arriving, have to be executed. Every job is formed by a set of dependent tasks (i.~e., each task may…

Networking and Internet Architecture · Computer Science 2019-10-07 Vicent Cholvi , Juan Echagüe , Antonio Fernández Anta , Christopher Thraves Caro