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Related papers: Tandem Queueing Systems Maximum Throughput Problem

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Serial and parallel algorithms for simulation of tandem queueing systems with infinite buffers are presented, and their performance is examined. It is shown that the algorithms which are based on a simple computational procedure involve low…

Numerical Analysis · Mathematics 2012-10-25 Sergei M. Ermakov , Nikolai K. Krivulin

We analyze a tandem network of polling queues with two product types and two stations. We assume that external arrivals to the network follow a Poisson process, and service times at each station are exponentially distributed. For this…

Performance · Computer Science 2021-05-25 Ravi Suman , Ananth Krishnamurthy

In traditional priority queues, we assume that every customer upon arrival has a fixed, class-dependent priority, and that a customer may not commence service if a customer with a higher priority is present in the queue. However, in…

It is interesting and challenging to study double-ended queues with First-Come-First-Match discipline under customers' impatient behavior and non-Poisson inputs. The system stability can be guaranteed by the customers' impatient behavior,…

Probability · Mathematics 2022-04-29 Heng-Li Liu , Quan-Lin Li , Yan-Xia Chang , Chi Zhang

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

Optimization and Control · Mathematics 2018-04-25 Tonghoon Suk , Xinchang Wang

In this paper we analyze the average queue backlog in a combined input-output queued switch using a maximal size matching scheduling algorithm. We compare this average backlog to the average backlog achieved by an optimal switch. We model…

Networking and Internet Architecture · Computer Science 2007-05-23 Randy Cogill , Sanjay Lall

This report considers a fairly general model of constrained queuing networks that allows us to represent both MMBP (Markov Modulated Bernoulli Processes) arrivals and time-varying service constraints. We derive a set of sufficient…

Performance · Computer Science 2014-03-18 Emilio Leonardi

We study the information-theoretic limit of reliable information processing by a server with queue-length dependent quality of service. We define the capacity for such a system as the number of bits reliably processed per unit time, and…

Information Theory · Computer Science 2016-03-08 Avhishek Chatterjee , Daewon Seo , Lav R. Varshney

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 paper studies the effect of an overdispersed arrival process on the performance of an infinite-server system. In our setup, a random environment is modeled by drawing an arrival rate $\Lambda$ from a given distribution every $\Delta$…

Probability · Mathematics 2016-02-02 Mariska Heemskerk , Johan van Leeuwaarden , Michel Mandjes

Packet traffic in complex networks undergoes the jamming transition from free-flow to congested state as the number of packets in the system increases. Here we study such jamming transition when queues are operated by the priority queuing…

Other Condensed Matter · Physics 2015-05-13 K. Kim , B. Kahng , D. Kim

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

We consider the fundamental problem of managing a bounded size queue buffer where traffic consists of packets of varying size, where each packet requires several rounds of processing before it can be transmitted from the queue buffer. The…

Networking and Internet Architecture · Computer Science 2013-09-06 Kirill Kogan , Alejandro Lopez-Ortiz , Sergey I. Nikolenko , Gabriel Scalosub , Michael Segal

We consider a two-node tandem queueing network in which the upstream queue is GI/GI/1 and each job reuses its upstream service requirement when moving to the downstream queue. Both servers employ the first-in-first-out policy. To…

Probability · Mathematics 2018-10-01 H. Christian Gromoll , Bryce Terwilliger , Bert Zwart

We consider a general queueing system with price-sensitive customers in which the service provider seeks to balance two objectives, maximizing the average revenue rate and minimizing the average queue length. Customers arrive according to a…

Data Structures and Algorithms · Computer Science 2025-12-09 Jacob Bergquist , Adam N. Elmachtoub

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

We study a two-stage tandem service queue attended by two servers. Each job-server pair must complete both service phases together, with the server unable to begin a new job until the current one is fully processed after two stages.…

Optimization and Control · Mathematics 2026-01-21 Shuwen Lu , Jamol Pender , Mark E. Lewis

The emerging connected-vehicle technology provides a new dimension in developing more intelligent traffic control algorithms for signalized intersections in networked transportation systems. An important challenge for the scheduling problem…

Networking and Internet Architecture · Computer Science 2017-01-20 Ping-Chun Hsieh , Xi Liu , Jian Jiao , I-Hong Hou , Yunlong Zhang , P. R. Kumar