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Fluid queues are mathematical models frequently used in stochastic modelling. Their stationary distributions involve a key matrix recording the conditional probabilities of returning to an initial level from above, often known in the…

Probability · Mathematics 2018-01-19 Nigel Bean , Giang T. Nguyen , Federico Poloni

The bittide mechanism enables logically synchronous computation across distributed systems by leveraging the continuous frame transmission inherent to wired networks such as Ethernet. Instead of relying on a global clock, bittide uses a…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Sanjay Lall , Tammo Spalink

This work investigates the effect of finite buffer sizes on the throughput capacity and packet delay of line networks with packet erasure links that have perfect feedback. These performance measures are shown to be linked to the stationary…

Information Theory · Computer Science 2016-11-15 Badri N. Vellambi , Nima Torabkhani , Faramarz Fekri

We investigate an M/M/1 queue operating in two switching environments, where the switch is governed by a two-state time-homogeneous Markov chain. This model allows to describe a system that is subject to regular operating phases alternating…

A simple analytical solution is proposed for the stationary loss system of two parallel queues with finite capacity $K$, in which new customers join the shortest queue, or one of the two with equal probability if their lengths are equal.…

Probability · Mathematics 2017-12-13 Plinio S. Dester , Christine Fricker , Danielle Tibi

In this paper, we present a queueing model for quantum communication networks, a rapidly growing field of research inspired by its technological promise and recent experimental successes. The model consists of a primary queue and a service…

Probability · Mathematics 2024-12-23 Karim S. Elsayed , Olga Izyumtseva , Wasiur R. KhudaBukhsh , Amr Rizk

This is an annotated bibliography on estimation and inference results for queues and related stochastic models. The purpose of this document is to collect and categorise works in the field, allowing for researchers and practitioners to…

Statistics Theory · Mathematics 2024-01-12 Azam Asanjarani , Yoni Nazarathy

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

In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov

The Available Bit Rate (ABR) service has been developed to support data applications over Asynchronous Transfer Mode (ATM) networks. The network continuously monitors its traffic and provides feedback to the source end systems. This paper…

Networking and Internet Architecture · Computer Science 2016-11-15 Raj Jain , Shiv Kalyanaraman , Sonia Fahmy , Rohit Goyal , S. Kim

By offering shared computational facilities to which mobile devices can offload their computational tasks, the mobile edge computing framework is expanding the scope of applications that can be provided on resource-constrained devices. When…

Information Theory · Computer Science 2018-10-16 Mahsa Salmani , Timothy N. Davidson

We use multidimensional diffusion processes to approximate the dynamics of a queue served by many parallel servers. The queue is served in the first-in-first-out (FIFO) order and the customers waiting in queue may abandon the system without…

Probability · Mathematics 2015-03-19 Shuangchi He , J. G. Dai

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

We consider a one-dimensional stochastic reaction-diffusion generalizing the totally asymmetric simple exclusion process, and aiming at describing single lane roads with vehicles that can change speed. To each particle is associated a jump…

Statistical Mechanics · Physics 2011-09-09 Cyril Furtlehner , Jean-Marc Lasgouttes

Understanding the real achievable performance of mobile ad hoc networks (MANETs) under practical network constraints is of great importance for their applications in future highly heterogeneous wireless network environments. This paper…

Information Theory · Computer Science 2017-06-02 Jia Liu , Yang Xu , Yulong Shen , Xiaohong Jiang , Tarik Taleb

ATM (asynchronous transfer mode) is the technology chosen for the Broadband Integrated Services Digital Network (B-ISDN). The ATM ABR (available bit rate) service can be used to transport ``best-effort'' traffic. In this paper, we extend…

Networking and Internet Architecture · Computer Science 2007-05-23 Bobby Vandalore , Shivkumar Kalyanaraman , Raj Jain , Rohit Goyal , Sonia Fahmy

We study distribution testing in the standard access model and the conditional access model when the memory available to the testing algorithm is bounded. In both scenarios, the samples appear in an online fashion and the goal is to test…

Data Structures and Algorithms · Computer Science 2023-09-08 Sampriti Roy , Yadu Vasudev

We report an innovative model for predicting entanglement distribution between end parties of a quantum network using our in-house simulation algorithm. Our implementation is based on stochastic methods that are built upon a unique global…

Quantum Physics · Physics 2025-09-11 Tasmi R. Ahmed , Fares Nada , Amber Hussain , Connor Kupchak

We study the accumulation of resources within a target due to the interplay between continual delivery, driven by 1D stochastic search processes, and sequential consumption. The assumption of sequential consumption is key because it changes…

Statistical Mechanics · Physics 2025-08-27 José Giral-Barajas , Paul C Bressloff

The ABR service is designed to fairly allocate the bandwidth unused by higher priority services. The network indicates to the ABR sources the rates at which they should transmit to minimize their cell loss. Switches must constantly measure…

Networking and Internet Architecture · Computer Science 2016-11-15 Sonia Fahmy , Raj Jain , Shivkumar Kalyanaraman , Rohit Goyal , Bobby Vandalore