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In this paper, equilibrium strategies and optimal balking strategies of customers in a constant retrial queue with multiple vacations and the $N$-policy under two information levels, respectively, are investigated. We assume that there is…

Probability · Mathematics 2020-05-04 Zhen Wang , Liwei Liu , Yiqiang Q. Zhao

Efficient multi-core parallel processing of recursive join queries is critical for achieving good performance in graph database management systems (GDBMSs). Prior work adopts two broad approaches. First is the state of the art morsel-driven…

Databases · Computer Science 2025-08-28 Anurag Chakraborty , Semih Salihoğlu

In this paper the infinite server queue model in semi-Markov random environment with k Markov arrival streams, random resources of customers, and catastrophes is considered. After catastrophes occur, all customers in the model are flashed…

Performance · Computer Science 2018-05-25 Khanik Kerobyan , Ruben Kerobyan , Koffi Enakoutsa

The paper studies a multiserver retrial queueing system with $m$ servers. Arrival process is a point process with strictly stationary and ergodic increments. A customer arriving to the system occupies one of the free servers. If upon…

Probability · Mathematics 2021-07-01 Vyacheslav M. Abramov

This paper examines a single-server queueing system that serves both scheduled and strategic walk-in customers. The service discipline follows a first-come, first-served policy, with scheduled customers granted non-preemptive priority. Each…

Probability · Mathematics 2025-02-28 Wathsala Karunarathne , Camiel Koopmans , Jiesen Wang

The hypercube queueing model was initially developed to address spatial queueing problems and has found wide applications in emergency services, such as ambulance and police systems. While the model was originally designed for homogeneous…

Optimization and Control · Mathematics 2026-03-10 Cheng Hua , Jun Luo , Arthur J. Swersey , Yixing Wen

Modern computing workloads are often composed of parallelizable jobs. A parallelizable job can be completed more quickly when run on additional servers. However, each job can only use a limited number of servers, known as its…

Performance · Computer Science 2025-12-30 Benjamin Berg , Benjamin Moseley , Weina Wang , Mor Harchol-Balter

In this paper we consider a single-server cyclic polling system. Between visits to successive queues, the server is delayed by a random switch-over time. The order in which customers are served in each queue is determined by a priority…

Probability · Mathematics 2014-08-05 Marko Boon , Ivo Adan , Onno Boxma

A key operational challenge for call centers is to decide, in real time, which waiting customer should be served by which available agent. This is known as skill-based routing, and the decision becomes especially difficult in large systems…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Baris Ata , Ebru Kasikaralar

We consider a Markovian single server queue in which customers are preemptively scheduled by exogenously assigned priority levels. The novelty in our model is that the priority levels are randomly assigned from a continuous probability…

Probability · Mathematics 2017-01-09 Neal Master , Zhengyuan Zhou , Nicholas Bambos

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

Federated learning is a promising collaborative and privacy-preserving machine learning approach in data-rich smart cities. Nevertheless, the inherent heterogeneity of these urban environments presents a significant challenge in selecting…

Computer Science and Game Theory · Computer Science 2024-05-02 Osama Wehbi , Sarhad Arisdakessian , Mohsen Guizani , Omar Abdel Wahab , Azzam Mourad , Hadi Otrok , Hoda Al khzaimi , Bassem Ouni

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

Probability · Mathematics 2009-12-15 N. S. Walton

This work studies queues in a Euclidean space. Consider $N$ servers that are distributed uniformly in $[0,1]^d$. Customers arrive at the servers according to independent stationary processes. Upon arrival, they probabilistically decide…

Probability · Mathematics 2024-09-05 B. R. Vinay Kumar , Lasse Leskelä

In this paper we consider the problem of maximum throughput for tandem queueing system. We modeled this system as a Quasi-Birth-Death process. In order to do this we named level the number of customers waiting in the first buffer (including…

Performance · Computer Science 2015-12-21 Daniel Marian Merezeanu , Daniela Andone

We study asynchronous federated learning mechanisms with nodes having potentially different computational speeds. In such an environment, each node is allowed to work on models with potential delays and contribute to updates to the central…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-02 Louis Leconte , Matthieu Jonckheere , Sergey Samsonov , Eric Moulines

Federated learning is a form of distributed learning with the key challenge being the non-identically distributed nature of the data in the participating clients. In this paper, we extend federated learning to the setting where multiple…

Machine Learning · Computer Science 2022-07-12 Neelkamal Bhuyan , Sharayu Moharir

The interest to retrial queueing systems is due to their application to telephone systems. The paper studies multiserver retrial queueing systems with $n$ servers. Arrival process is a quite general point process. An arriving customer…

Probability · Mathematics 2021-06-30 Vyacheslav M. Abramov

We consider a model inspired by compatibility constraints that arise between tasks and servers in data centers, cloud computing systems and content delivery networks. The constraints are represented by a bipartite graph or network that…

Probability · Mathematics 2024-04-10 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

Multi-server queueing systems are widely used models for job scheduling in machine learning, wireless networks, crowdsourcing, and healthcare systems. This paper considers a multi-server system with multiple servers and multiple types of…

Machine Learning · Computer Science 2023-06-05 Zixian Yang , R. Srikant , Lei Ying
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