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We consider a finite population processor-sharing (PS) queue, with Markovian arrivals and an exponential server. Such a queue can model an interactive computer system consisting of a bank of terminals in series with a central processing…

Probability · Mathematics 2013-09-12 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl

This paper deals with the delay-throughput analysis of a single-hop wireless network with $n$ transmitter/receiver pairs. All channels are assumed to be block Rayleigh fading with shadowing, described by parameters $(\alpha,\varpi)$, where…

Information Theory · Computer Science 2016-11-17 Jamshid Abouei , Alireza Bayesteh , Amir K. Khandani

Policy iteration techniques for multiple-server dispatching rely on the computation of value functions. In this context, we consider the continuous-space M/G/1-FCFS queue endowed with an arbitrarily-designed cost function for the waiting…

Performance · Computer Science 2021-11-09 Olivier Bilenne

We consider the Longest Queue Drop memory management policy in shared-memory switches consisting of $N$ output ports. The shared memory of size $M\geq N$ may have an arbitrary number of input ports. Each packet may be admitted by any…

Data Structures and Algorithms · Computer Science 2023-02-09 Nicolaos Matsakis

We consider a class of multi-agent distributed synchronization systems, which are modeled as $n$ particles moving on the real line. This class generalizes the model of a multi-server queueing system, considered in [15], employing so-called…

Probability · Mathematics 2026-02-13 Alexander Stolyar

In their $1996$ paper Anantharam and Verd\'u showed that feedback does not increase the capacity of a queue when the service time is exponentially distributed. Whether this conclusion holds for general service times has remained an open…

Information Theory · Computer Science 2017-10-18 Laure Aptel , Aslan Tchamkerten

This paper focuses on an infinite-server queue modulated by an independently evolving finite-state Markovian background process, with transition rate matrix $Q\equiv(q_{ij})_{i,j=1}^d$. Both arrival rates and service rates are depending on…

Probability · Mathematics 2015-06-17 Joke Blom , Koen De Turck , Michel Mandjes

The Join-the-Shortest-Queue routing policy is studied in an asymptotic regime where the number of processors $n$ scales with the arrival rate. A large deviation principle (LDP) for the occupancy process is established, as $n\to \infty$, in…

Probability · Mathematics 2025-08-12 Amarjit Budhiraja , Eric Friedlander , Ruoyu Wu

In this paper, a diffusion-based molecular communication channel between two nano-machines is considered. The effect of the amount of memory on performance is characterized, and a simple memory-limited decoder is proposed and its…

Biological Physics · Physics 2014-05-05 Reza Mosayebi , Hamidreza Arjmandi , Amin Gohari , Masoumeh Nasiri Kenari , Urbashi Mitra

We consider a load balancing system comprised of a fixed number of single server queues, operating under the well-known Join-the-Shortest Queue policy, and where jobs/customers are impatient and abandon if they do not receive service after…

Probability · Mathematics 2023-04-05 Prakirt Raj Jhunjhunwala , Martin Zubeldia , Siva Theja Maguluri

Motivated by the increasing popularity of learning and predicting human user behavior in communication and computing systems, in this paper, we investigate the fundamental benefit of predictive scheduling, i.e., predicting and pre-serving…

Optimization and Control · Mathematics 2013-09-05 Longbo Huang , Shaoquan Zhang , Minghua Chen , Xin Liu

Processing computation-intensive jobs at multiple processing cores in parallel is essential in many real-world applications. In this paper, we consider an idealised model for job parallelism in which a job can be served simultaneously by…

Probability · Mathematics 2022-07-22 Ayalvadi Ganesh , Arpan Mukhopadhyay

In traditional priority queues, we assume that every customer upon arrival has a fixed, class-dependent priority, and that a customer may not commence service if a customer with a higher priority is present in the queue. However, in…

Motivated by medium access control for resource-challenged wireless Internet of Things (IoT), we consider the problem of queue scheduling with reduced queue state information. In particular, we consider a time-slotted scheduling model with…

Networking and Internet Architecture · Computer Science 2020-05-08 Avinash Mohan , Aditya Gopalan , Anurag Kumar

We consider processing networks where multiple dispatchers are connected to single-server queues by a bipartite compatibility graph, modeling constraints that are common in data centers and cloud networks due to geographic reasons or data…

Probability · Mathematics 2026-05-01 Diego Goldsztajn , Andres Ferragut

In this paper, we study a distributed parameter estimation problem with an asynchronous communication protocol over multi-agent systems. Different from traditional time-driven communication schemes, in this work, data can be transmitted…

Systems and Control · Computer Science 2019-03-04 Xingkang He , Qian Liu , Junfeng Wu , Karl Henrik Johansson

We analyze a simple network where a source and a receiver are connected by a line of erasure channels of different reliabilities. Recent prior work has shown that random linear network coding can achieve the min-cut capacity and therefore…

Information Theory · Computer Science 2009-10-22 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho , Michelle Effros

In this paper, we introduce the online service with delay problem. In this problem, there are $n$ points in a metric space that issue service requests over time, and a server that serves these requests. The goal is to minimize the sum of…

Data Structures and Algorithms · Computer Science 2017-08-21 Yossi Azar , Arun Ganesh , Rong Ge , Debmalya Panigrahi

This work addresses private communication with distributed systems in mind. We consider how to best use secret key resources and communication to transmit signals across a system so that an eavesdropper is least capable to act on the…

Cryptography and Security · Computer Science 2015-03-19 Paul Cuff

We study a distributed hypothesis testing setup where peripheral nodes send quantized data to the fusion center in a memoryless fashion. The \emph{expected} number of bits sent by each node under the null hypothesis is kept limited. We…

Information Theory · Computer Science 2022-06-27 Yunus Inan , Mert Kayaalp , Ali H. Sayed , Emre Telatar