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In this paper, we characterize the stability region of multi-queue multi-server (MQMS) queueing systems with stationary channel and packet arrival processes. Toward this, the necessary and sufficient conditions for the stability of the…

Information Theory · Computer Science 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

In many cognitive radio applications, there are multiple types of message queues. Existing queueing analysis works in underlay CR networks failed to discuss packets heterogeneity. Therefore high priority packets with impatient waiting time…

Networking and Internet Architecture · Computer Science 2017-06-27 Long Chen , Liusheng Huang , Hongli Xu , Jie Hu

Stochastic networks with complex structures are key modelling tools for many important applications. In this paper, we consider a specific type of network: the retrial queueing systems with priority. This type of queueing system is…

Probability · Mathematics 2019-01-17 Bin Liu , Yiqiang Q. Zhao

Discrete-time queueing system has widespread applications in packet switching networks, internet protocol, Broadband Integrated Services Digital Network (B-ISDN), circuit switched time-division multiple access etc. In this paper, we analyze…

Probability · Mathematics 2020-07-20 S Pradhan , N Nandy

An important fundamental problem in green communications and networking is the operation of servers (routers or base stations) with sleeping mechanism to optimize energy-delay tradeoffs. This problem is very challenging when considering…

Information Theory · Computer Science 2017-11-22 Zhiyuan Jiang , Bhaskar Krishnamachari , Sheng Zhou , Zhisheng Niu

Queuing systems with an unlimited number of devices with an incoming nonstationary Poisson flow and a random flow controlled by a Markov chain are investigated. The inexpediency of ap-proximation of the birth process by Poisson flows in…

Probability · Mathematics 2021-06-01 Mariia Nosova

We introduce a QPLEX Decision Process (QDP) as a model for dynamic control of queueing systems with non-stationary arrivals, general service distributions, and service-level chance constraints. QDPs integrate QPLEX, a computational modeling…

Optimization and Control · Mathematics 2026-05-19 Antonius B. Dieker , Steven T. Hackman , Zitong Wang , Yunhao Yan

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues with two types of customers: high and low priority…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan

In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

Probability · Mathematics 2007-05-23 A. Rybko , S. Shlosman

This paper purpose is to investigate exponential behavior conditions for the infinite servers queue with Poisson arrivals busy period length distribution. It is presented a general theoretical result that is the basis of this work. The…

Probability · Mathematics 2021-09-30 Manuel Alberto M. Ferreira , José António Filipe

This paper proposes a novel max-pressure (MP) algorithm that incorporates pedestrian traffic into the MP control architecture. Pedestrians are modeled as being included in one of two groups: those walking on sidewalks and those queued at…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Hao Liu , Vikash V. Gayah , Michael Levin

The non-stationary Erlang-A queue is a fundamental queueing model that is used to describe the dynamic behavior of large scale multi-server service systems that may experience customer abandonments, such as call centers, hospitals, and…

Probability · Mathematics 2026-01-14 Andrew Daw , Jamol Pender

We consider the problem of customer equilibrium behavior of a single server Markovian queue with dynamic control of the service rate. Customers arrive according a Poisson procedure and the system administrator makes a service rate choice…

Optimization and Control · Mathematics 2018-05-17 Apostolos Burnetas , Yiannis Dimitrakopoulos

Motivated by the Quality-of-Service (QoS) buffer management problem, we consider online scheduling of packets with hard deadlines in a finite capacity queue. At any time, a queue can store at most $b \in \mathbb Z^+$ packets. Packets arrive…

Data Structures and Algorithms · Computer Science 2009-02-09 Fei Li

We consider a model for a queue in which only a fixed number $N$ of customers can join. Each customer joins the queue independently at an exponentially distributed time. Assuming further that the service times are independent and follow an…

Probability · Mathematics 2020-02-11 Gianmarco Bet , Jori Selen , Alessandro Zocca

Concurrent data structures often require additional memory for handling synchronization issues in addition to memory for storing elements. Depending on the amount of this additional memory, implementations can be more or less…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Vitaly Aksenov , Nikita Koval , Petr Kuznetsov , Anton Paramonov

In this paper, we consider a discrete-time preemptive priority queue with different service rates for two classes of customers, one with high-priority and the other with low-priority. This model corresponds to the classical preemptive…

Probability · Mathematics 2014-10-30 Yang Song , Zaiming Liu , Hongshuai Dai

Interactive applications with automated feedback will largely influence the design of future networked infrastructures. In such applications, status information about an environment of interest is captured and forwarded to a compute node,…

Networking and Internet Architecture · Computer Science 2021-03-30 Samuele Zoppi , Jaya Prakash Champati , James Gross , Wolfgang Kellerer

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

Designing and implementing efficient parallel priority schedulers is an active research area. An intriguing proposed design is the Multi-Queue: given $n$ threads and $m\ge n$ distinct priority queues, task insertions are performed uniformly…

Data Structures and Algorithms · Computer Science 2021-09-03 Anastasiia Postnikova , Nikita Koval , Giorgi Nadiradze , Dan Alistarh
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