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Mobile wireless network research focuses on scenarios at the extremes of the network connectivity continuum where the probability of all nodes being connected is either close to unity, assuming connected paths between all nodes (mobile ad…

Networking and Internet Architecture · Computer Science 2016-11-15 Simon Heimlicher , Merkouris Karaliopoulos , Hanoch Levy , Thrasyvoulos Spyropoulos

We consider a polling system with two queues, exhaustive service, no switch-over times and exponential service times. The waiting cost depends on the position of the queue relative to the server: It costs a customer c per time unit to wait…

Probability · Mathematics 2016-08-11 I. J. B. F. Adan , V. G. Kulkarni , N. Lee , A. A. J Lefeber

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

We develop theoretical foundations and practical algorithms for vehicle routing with time-dependent travel times. We also provide new benchmark instances and experimental results. First, we study basic operations on piecewise linear arrival…

Data Structures and Algorithms · Computer Science 2024-03-26 Jannis Blauth , Stephan Held , Dirk Müller , Niklas Schlomberg , Vera Traub , Thorben Tröbst , Jens Vygen

Modern communication networks are increasingly equipped with in-network computational capabilities and services. Routing in such networks is significantly more complicated than the traditional routing. A legitimate route for a flow not only…

Networking and Internet Architecture · Computer Science 2023-06-07 Lifan Mei , Jinrui Gou , Jingrui Yang , Yujin Cai , Yong Liu

We study the problem of assigning $K$ identical servers to a set of $N$ parallel queues in a time-slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server can serve at most one queue…

Optimization and Control · Mathematics 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Yannis Viniotis , Chung-Horng Lung

We study a stochastic network that consists of a set of servers processing multiple classes of jobs. Each class of jobs requires a concurrent occupancy of several servers while being processed, and each server is shared among the job…

Optimization and Control · Mathematics 2007-05-23 Heng-Qing Ye , David D. Yao

In this thesis, we propose and analyze a multi-server model that captures a performance trade-off between centralized and distributed processing. In our model, a fraction $p$ of an available resource is deployed in a centralized manner…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-23 Kuang Xu

In this paper, we present a new routing algorithm called "the Self Avoiding Paths Routing Algorithm". Its application to traffic flow in scale-free networks shows a great improvement over the so called "efficient routing" protocol while at…

Networking and Internet Architecture · Computer Science 2013-02-18 Abdeljalil Rachadi , Mohamed Jedra , Noureddine Zahid

We consider random-access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its…

Probability · Mathematics 2023-09-13 Sem C. Borst , Frank den Hollander , Francesca R. Nardi , Matteo Sfragara

We present an efficient routing approach for delivering packets in complex networks. On delivering a message from a node to a destination, a node forwards the message to a neighbor by estimating the waiting time along the shortest path from…

Networking and Internet Architecture · Computer Science 2008-06-12 Huan Zhang , Zonghua Liu , Ming Tang , P. M. Hui

This paper studies the limiting behavior of a closed queueing network with multiple single-server and infinite-server stations. Under a heavy traffic asymptotic regime$\unicode{x2014}$where the number of jobs and single-server service rates…

Probability · Mathematics 2026-03-13 Amir A. Alwan , Barış Ata

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

We study link scheduling in wireless networks under stochastic arrival processes of packets, and give an algorithm that achieves stability in the physical (SINR) interference model. The efficiency of such an algorithm is the fraction of the…

Networking and Internet Architecture · Computer Science 2012-03-20 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

To boost energy saving for the general delay-tolerant IoT networks, a two-stage and single-relay queueing communication scheme is investigated. Concretely, a traffic-aware $N$-threshold and gated-service policy are applied at the relay. As…

Networking and Internet Architecture · Computer Science 2020-02-18 Nan Qi , Nikolaos I. Miridakis , Ming Xiao , Theodoros A. Tsiftsis , Rugui Yao , Shi Jin

This paper is about optimally controlling skill-based queueing systems such as data centers, cloud computing networks, and service systems. By means of a case study using a real-world data set, we investigate the practical implementation of…

Machine Learning · Computer Science 2025-06-26 Sanne van Kempen , Jaron Sanders , Fiona Sloothaak , Maarten G. Wolf

We consider resource sharing networks of the form introduced in the work of Massouli\'{e} and Roberts(2000) as models for Internet flows. The goal is to study the open problem, formulated in Harrison et al. (2014), of constructing simple…

Probability · Mathematics 2017-10-26 Amarjit Budhiraja , Dane Johnson

The upper bound for the convergence rate of the distribution of the state of a queuing system with infinitely many servers is obtained, in the case when the intensity of the incoming flow and the intensity of the service depend on the state…

Probability · Mathematics 2018-08-30 Galina A. Zverkina

We study the infinite horizon optimal control problem for N-network queueing systems, which consist of two customer classes and two server pools, under average (ergodic) criteria in the Halfin-Whitt regime. We consider three control…

Optimization and Control · Mathematics 2019-03-20 Ari Arapostathis , Guodong Pang

Consider an M/M/$s$ queue with the additional feature that the arrival rate is a random variable of which only the mean, variance, and range are known. Using semi-infinite linear programming and duality theory for moment problems, we…