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We study a many-server queuing system with general service time distribution and state dependent service rates. The dynamics of the system are modeled using measure valued processes which keep track of the residual service times. Under…

Probability · Mathematics 2013-04-09 Anup Biswas

Nowadays distributed computing approach has become very popular due to several advantages over the centralized computing approach as it also offers high performance computing at a very low cost. Each router implements some queuing mechanism…

Networking and Internet Architecture · Computer Science 2019-10-10 Taskeen Zaidi , Nitya Nand Dwivedi

The Persistent-Idle (PI) load distribution policy was recently introduced as an appealing alternative to current low-communication load balancing techniques. In PI, servers only update the dispatcher when they become idle, and the…

Probability · Mathematics 2021-03-24 Rami Atar , Isaac Keslassy , Gal Mendelson , Ariel Orda , Shay Vargaftik

The fundamental problem in the study of parallel-server systems is that of finding and analyzing `good' routing policies of arriving jobs to the servers. It is well known that, if full information regarding the workload process is available…

Probability · Mathematics 2019-04-24 Pascal Moyal , Ohad Perry

This work introduces a model-based framework that reveals the idle opportunity of modern servers running latency-critical applications. Specifically, three queuing models, M/M/1, cxM/M/1, and M/M/c, are used to estimate the theoretical idle…

Hardware Architecture · Computer Science 2025-10-10 Georgia Antoniou , Haris Volos , Jawad Haj Yahya , Yiannakis Sazeides

In this paper, we study the stability of light traffic achieved by a scheduling algorithm which is suitable for heterogeneous traffic networks. Since analyzing a scheduling algorithm is intractable using the conventional mathematical tool,…

Networking and Internet Architecture · Computer Science 2016-04-07 Rukhsana Ruby , Victor C. M. Leung

Consider a countably infinite collection of interacting queues, with a queue located at each point of the $d$-dimensional integer grid, having independent Poisson arrivals, but dependent service rates. The service discipline is of the…

Probability · Mathematics 2019-03-12 Abishek Sankararaman , François Baccelli , Sergey Foss

We re-visit the global - relative to control policies - stability of multiclass queueing networks. In these, as is known, it is generally insufficient that the nominal utilization at each server is below 100%. Certain policies, although…

Optimization and Control · Mathematics 2024-03-08 Feiyang Zhao , Itai Gurvich , John Hasenbein

We investigate the long-run behavior of single-server queues with Hawkes arrivals and general service distributions and related optimization problems. In detail, utilizing novel coupling techniques, we establish finite moment bounds for the…

Probability · Mathematics 2023-11-14 Xinyun Chen , Guiyu Hong

We consider a switched network, a fairly general constrained queueing network model that has been used successfully to model the detailed packet-level dynamics in communication networks, such as input-queued switches and wireless networks.…

Networking and Internet Architecture · Computer Science 2010-04-01 Devavrat Shah , John N. Tsitsiklis , Yuan Zhong

We present an architecture of a hosting system consisting of a set of hosted Web Services subject to QoS constraints, and a certain number of servers used to run users demand. The traffic is session-based, while provider and users agree on…

Networking and Internet Architecture · Computer Science 2015-03-17 Michele Mazzucco , Manuel Mazzara , Nicola Dragoni

We consider a natural scheduling problem which arises in many distributed computing frameworks. Jobs with diverse resource requirements (e.g. memory requirements) arrive over time and must be served by a cluster of servers, each with a…

Networking and Internet Architecture · Computer Science 2019-01-21 Konstantinos Psychas , Javad Ghaderi

We consider a computation offloading system where jobs are processed sequentially at a local server followed by a higher-capacity cloud server. The system offers two service modes, differing in how the processing is split between the…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Darin Jeff , Eytan Modiano

A major limitation of existing routing algorithms for multi-agent systems is that they are designed without considering the potential presence of adversarial agents in the decision-making loop, which could lead to severe performance…

Multiagent Systems · Computer Science 2025-12-23 Roee M. Francos , Daniel Garces , Orhan Eren Akgün , Stephanie Gil

A current trend in networking and cloud computing is to provide compute resources over widely dispersed places exemplified by initiatives like Network Function Virtualisation. This paves the way for a widespread service deployment and can…

Networking and Internet Architecture · Computer Science 2016-05-31 Matthias Keller , Holger Karl

The paper studies approximations and control of a processor sharing (PS) server where the service rate depends on the number of jobs occupying the server. The control of such a system is implemented by imposing a limit on the number of jobs…

Systems and Control · Computer Science 2014-09-02 Varun Gupta , Jiheng Zhang

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

Information Theory · Computer Science 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

We consider energy minimization for data-intensive applications run on large number of servers, for given performance guarantees. We consider a system, where each incoming application is sent to a set of servers, and is considered to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-19 Ajay Badita , Rooji Jinan , Balajee Vamanan , Parimal Parag

Network Utility Maximization (NUM) studies the problems of allocating traffic rates to network users in order to maximize the users' total utility subject to network resource constraints. In this paper, we propose a new NUM framework,…

Networking and Internet Architecture · Computer Science 2020-12-18 Xinzhe Fu , Eytan Modiano

We provide the first algorithm that under minimal assumptions allows to simulate the stationary waiting-time sequence of a single-server queue backwards in time, jointly with the input processes of the queue (inter-arrival and service…

Probability · Mathematics 2015-01-22 Jose Blanchet , Aya Wallwater