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Related papers: Pass-and-Swap Queues

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A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework, which was first introduced to derive the stability region for stochastic…

Probability · Mathematics 2017-11-29 Francois Baccelli , Sergey Foss

We analyze a network of tandem polling queues with two stations operating under synchronized polling (SP) and out-of-sync polling (OP) strategies, and with nonzero setups. We conduct an exact analysis using a decomposition approach to…

Performance · Computer Science 2022-03-02 Ravi Suman , Ananth Krishnamurthy

This paper presents a queueing network approach to the analysis and control of mobility-on-demand (MoD) systems for urban personal transportation. A MoD system consists of a fleet of vehicles providing one-way car sharing service and a team…

Performance · Computer Science 2014-09-30 Rick Zhang , Marco Pavone

Many popular network models rely on the assumption of (vertex) exchangeability, in which the distribution of the graph is invariant to relabelings of the vertices. However, the Aldous-Hoover theorem guarantees that these graphs are dense or…

Machine Learning · Statistics 2017-02-07 Diana Cai , Trevor Campbell , Tamara Broderick

We consider a multi-class single server queueing network as a model of a packet switching network. The rates packets are sent into this network are controlled by queues which act as congestion windows. By considering a sequence of…

Optimization and Control · Mathematics 2010-11-25 Neil Stuart Walton

This paper considers a large-scale wireless network consisting of source-destination (SD) pairs, where the sources send time-sensitive information, termed status updates, to their corresponding destinations in a time-slotted fashion. We…

Information Theory · Computer Science 2021-01-11 Praful D. Mankar , Mohamed A. Abd-Elmagid , Harpreet S. Dhillon

Due to the widespread applicability of discrete-time queues in wireless networks or telecommunication systems, this paper analyzes an infinite-buffer batch-service queue with single and multiple vacation where customers/messages arrive…

Probability · Mathematics 2020-05-25 N Nandy , S Pradhan

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

Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a {($\alpha,g$)-switch policy} which combines the MaxWeight policies with…

Systems and Control · Computer Science 2014-04-11 Neil Walton

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems.…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Atreyee Kundu

Today's wireless networks are increasingly crowded with an explosion of wireless users, who have greater and more diverse quality of service (QoS) demands than ever before. However, the amount of spectrum that can be used to satisfy these…

Networking and Internet Architecture · Computer Science 2013-10-10 Richard Southwell , Xu Chen , Jianwei Huang

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

This article deals with asynchronous server vacation and customer retrial facility in a multi-server queueing-inventory system. The Poisson process governs the arrival of a customer. The system is comprised of c identical servers, a…

Optimization and Control · Mathematics 2023-07-31 K. Jeganathan , T. Harikrishnan , K. Prasanna Lakshmi , D. Nagarajan

Motivated by demand prediction for the custodial prison population in England and Wales, this paper describes an approach to the study of service systems using infinite server queues, where the system has non-empty initial state and the…

Applications · Statistics 2023-02-23 Nikki Sonenberg , Victoria Volodina , Peter G. Challenor , Jim Q. Smith

We analyze the time-dependent behavior of an $M/M/c$ priority queue having two customer classes, class-dependent service rates, and preemptive priority between classes. More particularly, we develop a method that determines the Laplace…

Probability · Mathematics 2017-03-17 Jori Selen , Brian Fralix

A graph-theoretic analysis of the steady-state behavior of an open Jackson queueing network is developed. In particular, a number of queueing-network performance metrics are shown to exhibit a spatial dependence on local drivers (e.g.…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Chenyan Zhu , Sandip Roy

Phase transition from a free-flow phase to a jammed phase is an important feature of traffic networks. We study this transition in the case of a simple square lattice network for different values of data posting rate $(\rho)$ by introducing…

Statistical Mechanics · Physics 2009-11-11 Anjan Kumar Chandra

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function quite easy interpretation, it may serve as a clue to…

Probability · Mathematics 2021-09-23 Manuel Alberto M. Ferreira

In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

Machine Learning · Statistics 2025-05-07 Jung-hun Kim , Min-hwan Oh

This article studies the expected occupancy probabilities on an alphabet. Unlike the standard situation, where observations are assumed to be independent and identically distributed (iid), we assume that they follow a regime switching…

Probability · Mathematics 2020-05-19 Michael Grabchak , Mark Kelbert , Quentin Paris
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