English
Related papers

Related papers: Omnithermal Perfect Simulation for Multi-server Qu…

200 papers

Cooperative decision making is a vision of future network management and control. Distributed connection preemption is an important example where nodes can make intelligent decisions on allocating resources and controlling traffic flows for…

Machine Learning · Computer Science 2009-01-08 Sung-eok Jeon , Chuanyi Ji

We study tandem queueing systems in which servers work more efficiently in teams than on their own and customers are impatient in that they may leave the system while waiting for service. Our goal is to determine the server assignment…

Probability · Mathematics 2026-01-23 Bihan Chatterjee , Sigrún Andradóttir , Hayriye Ayhan

Conformal prediction is emerging as a popular paradigm for providing rigorous uncertainty quantification in machine learning since it can be easily applied as a post-processing step to already trained models. In this paper, we extend…

Machine Learning · Computer Science 2023-06-02 Charles Lu , Yaodong Yu , Sai Praneeth Karimireddy , Michael I. Jordan , Ramesh Raskar

We study a queueing network with a single shared server that serves the queues in a cyclic order. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the…

Probability · Mathematics 2014-08-04 Marko Boon , Rob van der Mei , Erik Winands

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

Traffic load-balancing in datacenters alleviates hot spots and improves network utilization. In this paper, a stable in-network load-balancing algorithm is developed in the setting of software-defined networking. A control plane configures…

Networking and Internet Architecture · Computer Science 2016-12-07 Sucha Supittayapornpong , Michael J. Neely

We study infinite server queues driven by Cox processes in a fast oscillatory random environment. While exact performance analysis is difficult, we establish diffusion approximations to the (re-scaled) number-in-system process by proving…

Probability · Mathematics 2021-08-31 Harsha Honnappa , Yiran Liu , Samy Tindel , Aaron Yip

This is an expository review paper illustrating the ``martingale method'' for proving many-server heavy-traffic stochastic-process limits for queueing models, supporting diffusion-process approximations. Careful treatment is given to an…

Probability · Mathematics 2007-12-28 Guodong Pang , Rishi Talreja , Ward Whitt

We study deterministic fluid approximations of parallel service systems operating under first come first served policy (FCFS). The condition for complete resource pooling is identified in terms of the system structure and the customer…

Probability · Mathematics 2016-04-18 Yuval Nov , Gideon Weiss , Hanqin Zhang

We present an analysis of large-scale load balancing systems, where the processing time distribution of tasks depends on both the task and server types. Our study focuses on the asymptotic regime, where the number of servers and task types…

Probability · Mathematics 2023-06-19 Zhisheng Zhao , Debankur Mukherjee

This paper addresses the analysis of the queue-length process of single-server queues under overdispersion, i.e., queues fed by an arrival process for which the variance of the number of arrivals in a given time window exceeds the…

Probability · Mathematics 2020-04-21 Onno Boxma , Mariska Heemskerk , Michel Mandjes

In distributed ML applications, shared parameters are usually replicated among computing nodes to minimize network overhead. Therefore, proper consistency model must be carefully chosen to ensure algorithm's correctness and provide high…

Machine Learning · Statistics 2014-01-03 Jinliang Wei , Wei Dai , Abhimanu Kumar , Xun Zheng , Qirong Ho , Eric P. Xing

We consider a tandem queue with coupled processors, which is subject to global breakdowns. When the network is in the operating mode and both queues are non empty, the total service capacity is shared among the stations according to fixed…

Probability · Mathematics 2019-03-08 Ioannis Dimitriou

This paper considers a network of infinite-server queues with the special feature that, triggered by specific events, the network population vector may undergo a linear transformation (a `multiplicative transition'). For this model we…

Probability · Mathematics 2017-11-15 Dieter Fiems , Michel Mandjes , Brendan Patch

In geographically-distributed systems, communication latencies are non-negligible. The perceived processing time of a request is thus composed of the time needed to route the request to the server and the true processing time. Once a…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-11 Piotr Skowron , Krzysztof Rzadca

Completeness of a dynamic priority scheduling scheme is of fundamental importance for the optimal control of queues in areas as diverse as computer communications, communication networks, supply chains and manufacturing systems. Our first…

Performance · Computer Science 2018-04-11 Manu K. Gupta , N. Hemachandra , J. Venkateswaran

Federated learning (FL) systems enable multiple clients to train a machine learning model iteratively through synchronously exchanging the intermediate model weights with a single server. The scalability of such FL systems can be limited by…

Machine Learning · Computer Science 2024-06-21 Yuncong Zuo , Bart Cox , Lydia Y. Chen , Jérémie Decouchant

In the present paper the infinite-server MMAPkGk queueing model with random resource vector of customers, marked MAP arrival and semi-Markov (SM) arrival of catastrophes is considered. The joint generating functions (PGF) of transient and…

Performance · Computer Science 2018-05-25 K. Kerobyan , R. Covington , R. Kerobyan , K. Enakoutsa

Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Much is known in the dropping setting, where jobs are immediately discarded if they require more servers than are currently available.…

Performance · Computer Science 2020-10-05 Isaac Grosof , Mor Harchol-Balter , Alan Scheller-Wolf

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