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Distributed computing systems implement redundancy to reduce the job completion time and variability. Despite a large body of work about computing redundancy, the analytical performance evaluation of redundancy techniques in queuing systems…

Information Theory · Computer Science 2022-01-05 Amir Behrouzi-Far , Emina Soljanin

We study the information-theoretic limit of reliable information processing by a server with queue-length dependent quality of service. We define the capacity for such a system as the number of bits reliably processed per unit time, and…

Information Theory · Computer Science 2016-03-08 Avhishek Chatterjee , Daewon Seo , Lav R. Varshney

We propose a resource distribution strategy to reduce the average travel time in a transportation network given a fixed generation rate. Suppose that there are essential resources to avoid congestion in the network as well as some extra…

Statistical Mechanics · Physics 2015-05-13 Shan He , Sheng Li , Hongru Ma

We investigate the scheduling of a common resource between several concurrent users when the feasible transmission rate of each user varies randomly over time. Time is slotted and users arrive and depart upon service completion. This may…

Performance · Computer Science 2015-03-18 U. Ayesta , M. Erausquin , M. Jonckheere , I. M. Verloop

We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

Probability · Mathematics 2017-11-28 Lam M. Nguyen , Alexander Stolyar

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

We consider a queueing system composed of a dispatcher that routes deterministically jobs to a set of non-observable queues working in parallel. In this setting, the fundamental problem is which policy should the dispatcher implement to…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Bruno Gaujal , Tommaso Nesti

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

Optimization and Control · Mathematics 2025-09-09 Dongnuan Tian , Rob Shone

We analyze opportunistic schemes for transmission scheduling from one of $n$ homogeneous queues whose channel states fluctuate independently. Considered schemes consist of the LCQ policy, which transmits from a longest connected queue in…

Performance · Computer Science 2008-10-02 Murat Alanyali , Maxim Dashouk

We study the performance of non-adaptive scheduling policies in computing systems with multiple servers. Compute jobs are mostly regular, with modest service requirements. However, there are sporadic data intensive jobs, whose expected…

Performance · Computer Science 2020-01-01 Amir Behrouzi-Far , Emina Soljanin

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

We consider data losses in a single node of a packet-switched Internet-like network. We employ two distinct models, one with discrete and the other with continuous one-dimensional random walks, representing the state of a queue in a router.…

Networking and Internet Architecture · Computer Science 2008-03-26 I. V. Lerner , I. V. Yurkevich A. S. Stepanenko , C. C. Constantinou

This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues. Necessary and sufficient conditions for the stability of the…

Probability · Mathematics 2010-01-12 Sem Borst , Matthieu Jonckheere , Lasse Leskelä

There is a growing interest in development of in-network dispersed computing paradigms that leverage the computing capabilities of heterogeneous resources dispersed across the network for processing massive amount of data is collected at…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-28 Chien-Sheng Yang , Ramtin Pedarsani , A. Salman Avestimehr

Motivated by emerging big streaming data processing paradigms (e.g., Twitter Storm, Streaming MapReduce), we investigate the problem of scheduling graphs over a large cluster of servers. Each graph is a job, where nodes represent compute…

Networking and Internet Architecture · Computer Science 2015-02-23 Javad Ghaderi , Sanjay Shakkottai , R Srikant

One of the basic properties of a queueing network is stability. Roughly speaking, it is the property that the total number of jobs in the network remains bounded as a function of time. One of the key questions related to the stability issue…

Probability · Mathematics 2009-11-19 David Gamarnik , Dmitriy Katz

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

Information Theory · Computer Science 2018-09-11 Nikolaos Pappas

In this paper, the throughput of relay networks with multiple source-destination pairs under queueing constraints has been investigated for both variable-rate and fixed-rate schemes. When channel side information (CSI) is available at the…

Information Theory · Computer Science 2015-10-08 Yi Li , M. Cenk Gursoy , Senem Velipasalar

We consider the problem of designing a packet-level congestion control and scheduling policy for datacenter networks. Current datacenter networks primarily inherit the principles that went into the design of Internet, where congestion…

Networking and Internet Architecture · Computer Science 2017-10-10 Devavrat Shah , Qiaomin Xie

Service time fluctuations heavily affect the performance of queueing systems, causing long waiting times and backlogs. Recently, it was shown that when service times are solely determined by the server, service resetting can mitigate the…

Probability · Mathematics 2024-10-08 Ofek Lauber Bonomo , Uri Yechiali , Shlomi Reuveni