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We study a single server queue operating under the shortest remaining processing time (SRPT) scheduling policy; that is, the server preemptively serves the job with the shortest remaining processing time first. In this work we are…

Probability · Mathematics 2023-11-07 Sayan Banerjee , Amarjit Budhiraja , Amber L. Puha

In this paper, a downlink scenario in which a single-antenna base station communicates with K single antenna users, over a time-correlated fading channel, is considered. It is assumed that channel state information is perfectly known at…

Information Theory · Computer Science 2007-07-13 Mehdi Ansari Sadrabadi , Alireza Bayesteh , Amir K. Khandani

We come up with a class of distributed quantized averaging algorithms on asynchronous communication networks with fixed, switching and random topologies. The implementation of these algorithms is subject to the realistic constraint that the…

Optimization and Control · Mathematics 2010-02-12 Minghui Zhu , Sonia Martinez

We consider a single server queueing system with admission control and the possibility to switch dynamically between a low and a high service rate, and examine the benefit of this service rate flexibility. We formulate a discounted Markov…

Optimization and Control · Mathematics 2015-12-08 Yiannis Dimitrakopoulos , Apostolos Burnetas

In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and the special queue skipping policy. Customers arrive in batches, but are served one by one according to any conservative discipline. The…

Probability · Mathematics 2020-12-01 A. Zeifman , R. Razumchik , Y. Satin , I. Kovalev

In the half-duplex single relay selection network, comprised of a source, $M$ half-duplex relays, and a destination, only one relay is active at any given time, i.e., only one relay receives or transmits, and the other relays are inactive,…

Information Theory · Computer Science 2015-04-10 Nikola Zlatanov , Vahid Jamali , Robert Schober

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

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

Optimization and Control · Mathematics 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

We develop link rate control policies to minimize the queueing delay of packets in overloaded networks. We show that increasing link rates does not guarantee delay reduction during overload. We consider a fluid queueing model that…

Networking and Internet Architecture · Computer Science 2024-11-07 Xinyu Wu , Dan Wu , Eytan Modiano

Consider a control problem with a communication channel connecting the observer of a linear stochastic system to the controller. The goal of the controller is to minimize a quadratic cost function in the state variables and control signal,…

Information Theory · Computer Science 2018-11-27 Victoria Kostina , Babak Hassibi

A multi-channel queueing system is considered. The arriving requests differ in their type. Requests of each type arrive according to a Poisson process. The number of channels required for service with the rate equal to 1 depends of the…

Optimization and Control · Mathematics 2024-12-09 M. V. Yashina , A. G. Tatashev

The optimal tradeoff between average service cost rate, average utility rate, and average delay is addressed for a state dependent M/M/1 queueing model, with controllable queue length dependent service rates and arrival rates. For a model…

Performance · Computer Science 2013-11-05 Vineeth B. S. , Utpal Mukherji

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

Motivated by application in wireless networks, cloud computing, data centers etc, Stochastic Processing Networks have been studied in the literature under various asymptotic regimes. In the heavy-traffic regime, the steady state mean queue…

Probability · Mathematics 2020-03-18 Daniela Hurtado-Lange , Sushil Mahavir Varma , Siva Theja Maguluri

We extend stochastic network optimization theory to treat networks with arbitrary sample paths for arrivals, channels, and mobility. The network can experience unexpected link or node failures, traffic bursts, and topology changes, and…

Optimization and Control · Mathematics 2010-01-07 Michael J. Neely

We present a new framework for designing nonpreemptive and job-size oblivious scheduling policies in the multiserver-job queueing model. The main requirement is to identify a static and balanced sub-partition of the server set and ensure…

Performance · Computer Science 2025-02-04 Jonatha Anselmi , Josu Doncel

We consider the optimal packet scheduling problem in a single-user energy harvesting wireless communication system. In this system, both the data packets and the harvested energy are modeled to arrive at the source node randomly. Our goal…

Information Theory · Computer Science 2010-10-08 Jing Yang , Sennur Ulukus

The standard approach to realize a quantum repeater relies upon probabilistic but heralded entangled state manipulations and the storage of quantum states while waiting for successful events. In the literature on this class of repeaters,…

Quantum Physics · Physics 2019-09-25 E. Shchukin , F. Schmidt , P. van Loock

This paper examines a continuous-time routing system with general interarrival and service time distributions, operating under the join-the-shortest-queue and power-of-two-choices policies. Under a weaker set of assumptions than those…

Probability · Mathematics 2025-03-28 Jin Guang , Yaosheng Xu , J. G. Dai

A discrete-time batch service queue with batch renewal input and random serving capacity rule under the late arrival delayed access system (LAS-DA), has recently appeared in the literature [2]. In this paper, we consider the same model…

Probability · Mathematics 2019-04-24 U. C. Gupta , F. P. Barbhuiya , Arunava Maity
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