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Modelling and control of energy consumption is an important problem in telecommunication systems.To model such systems, this paper publishes a bounded multi-vacation queue model. The energy consumption predicted by the model shows an…

Performance · Computer Science 2020-11-20 Jie Chen

Applications of stochastic models often involve the evaluation of steady-state performance, which requires solving a set of balance equations. In most cases of interest, the number of equations is infinite or even uncountable. As a result,…

Optimization and Control · Mathematics 2022-04-08 Shukai Li , Sanjay Mehrotra

This article introduces a model for freeway traffic dynamics under stochastic capacity-reducing incidents, and provides insights for freeway incident management by analyzing long-time (stability) properties of the proposed model. Incidents…

Optimization and Control · Mathematics 2017-11-01 Li Jin , Saurabh Amin

We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled…

Probability · Mathematics 2020-04-15 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

Unlike the AWGN (additive white gaussian noise) channel, fading channels suffer from random channel gains besides the additive Gaussian noise. As a result, the instantaneous channel capacity varies randomly along time, which makes it…

Information Theory · Computer Science 2014-07-18 Yunquan Dong , Pingyi Fan

A basic setup of a two-tier network, where two mobile users exchange messages with a multi-antenna macrocell basestation, is studied from a rate perspective subject to beamforming and power constraints. The communication is facilitated by…

Information Theory · Computer Science 2016-10-21 Dennis Michaelis , Aydin Sezgin , Eduard Jorswieck

This paper analyzes the impact of user mobility in multi-tier heterogeneous networks. We begin by obtaining the handoff rate for a mobile user in an irregular cellular network with the access point locations modeled as a homogeneous Poisson…

Networking and Internet Architecture · Computer Science 2015-01-09 Sanam Sadr , Raviraj S. Adve

The trending integrations of Battery Energy Storage System (BESS, stationary battery) and Electric Vehicles (EV, mobile battery) to distribution grids call for advanced Demand Side Management (DSM) technique that addresses the scalability…

Systems and Control · Computer Science 2016-12-30 Yubo Wang , Wenbo Shi , Bin Wang , Chi-Cheng Chu , Rajit Gadh

Recently, Atar and Miyazawa [2] introduced a multi-level GI/G/1 queue with a finite number of levels, where both the arrival and service rates depend on the level corresponding to the current queue length. For this model, they proved that…

Probability · Mathematics 2026-01-07 Masahiro Kobayashi , Masakiyo Miyazawa , Yutaka Sakuma

In the evolving digital landscape, network flow models have transcended traditional applications to become integral in diverse sectors, including supply chain management. This research develops a robust network flow model for semiconductor…

Optimization and Control · Mathematics 2026-03-05 Yichen Wang , Huanbo Zhang , Chunhong Yuan , Xiangyu Li , Zuowen Jiang

In this paper, we consider delay-optimal power and subcarrier allocation design for OFDMA systems with $N_F$ subcarriers, $K$ mobiles and one base station. There are $K$ queues at the base station for the downlink traffic to the $K$ mobiles…

Machine Learning · Computer Science 2009-12-08 Vincent K. N. Lau , Ying Cui

This paper introduces and analyzes the notion of throughput suboptimality for many-server queueing systems in heavy traffic. The queueing model under consideration has multiple customer classes, indexed by a finite set $\mathcal{I}$, and…

Probability · Mathematics 2009-06-15 Rami Atar , Gennady Shaikhet

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

The infinite-server queueing models with homogeneous and non-homogeneous arrivals of customers and catastrophes are considered. The probability generating functions of joint distributions of numbers of busy servers and served customers, as…

Optimization and Control · Mathematics 2018-07-24 Khanik Kerobyan

The ever-increasing demand for data services and the proliferation of user equipment (UE) have resulted in a significant rise in the volume of mobile traffic. Moreover, in multi-band networks, non-uniform traffic distribution among…

Networking and Internet Architecture · Computer Science 2024-01-26 Saria Al Lahham , Di Wu , Ekram Hossain , Xue Liu , Gregory Dudek

In this thesis, we propose and analyze a multi-server model that captures a performance trade-off between centralized and distributed processing. In our model, a fraction $p$ of an available resource is deployed in a centralized manner…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-23 Kuang Xu

We analyze the latency or sojourn time L(m,n) for the last customer in a batch of n customers to exit from the m-th queue in a tandem of m queues in the setting where the queues are in equilibrium before the batch of customers arrives at…

Probability · Mathematics 2014-04-21 Jinho Baik , Raj Rao Nadakuditi

Quantum communication networks require transmission of high-fidelity, uncoded qubits for applications such as entanglement distribution and quantum key distribution. However, current implementations are constrained by limited buffer…

Quantum Physics · Physics 2026-03-27 Padma Priyanka , Avhishek Chatterjee , Sheetal Kalyani

Recently there has been increasing interest in alternate methods to compute quantum tunneling in field theory. Of particular interest is a stochastic approach which involves (i) sampling from the free theory Gaussian approximation to the…

High Energy Physics - Theory · Physics 2020-10-08 Mark P. Hertzberg , Fabrizio Rompineve , Neil Shah

This paper focuses on modeling and analysis of the temporal performance variations experienced by a mobile user in a wireless network and its impact on system level design. We consider a simple stochastic geometry model: the infrastructure…

Information Theory · Computer Science 2016-09-29 Pranav Madadi , François Baccelli , Gustavo de Veciana