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We study service scheduling problems in a slotted system in which agents arrive with service requests according to a Bernoulli process and have to leave within two slots after arrival, service costs are quadratic in service rates, and there…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Ramya Burra , Chandramani Singh , Joy Kuri

We consider a system consisting of a single transmitter/receiver pair and $N$ channels over which they may communicate. Packets randomly arrive to the transmitter's queue and wait to be successfully sent to the receiver. The transmitter may…

Performance · Computer Science 2020-05-15 Thomas Stahlbuhk , Brooke Shrader , Eytan Modiano

Redundancy mechanisms consist in sending several copies of a same job to a subset of servers. It constitutes one of the most promising ways to exploit diversity in multiservers applications. However, its pros and cons are still not…

Performance · Computer Science 2021-03-22 Elene Anton , Urtzi Ayesta , Matthieu Jonckheere , Ina Maria Verloop

A current trend in networking and cloud computing is to provide compute resources over widely dispersed places exemplified by initiatives like Network Function Virtualisation. This paves the way for a widespread service deployment and can…

Networking and Internet Architecture · Computer Science 2016-05-31 Matthias Keller , Holger Karl

Consider a terminal in which users arrive continuously over a finite period of time at a variable rate known in advance. A fleet of shuttles has to carry the users over a fixed trip. What is the shuttle schedule that minimizes their waiting…

Optimization and Control · Mathematics 2017-06-07 Laurent Daudet , Frédéric Meunier

In this article, we study the classical shortest queue problem under the influence of malicious attacks, which is relevant to a variety of engineering system including transportation, manufacturing, and communications. We consider a…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Yu Tang , Yining Wen , Li Jin

This paper investigates a partially observable queueing system with $N$ nodes in which each node has a dedicated arrival stream. There is an extra arrival stream to balance the load of the system by routing its customers to the shortest…

Probability · Mathematics 2021-01-01 Qihui Bu , Liwei Liu , Jiashan Tang , Yiqiang Q. Zhao

In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server that serves both queues with generally distributed service…

Probability · Mathematics 2017-07-14 Mayank Saxena , Onno Boxma , Stella Kapodistria , Rudesindo Núñez Queija

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

Probability · Mathematics 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

In this paper, we investigate the problem of assignment of $K$ 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…

Optimization and Control · Mathematics 2016-11-17 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

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 consider a queueing facility where customers decide when to arrive. All customers have the same desired arrival time (w.l.o.g.\ time zero). There is one server, and the service times are independent and exponentially distributed. The…

Optimization and Control · Mathematics 2017-09-12 Eliran Sherzer , Yoav Kerner

We consider a stochastic bipartite matching model consisting of multi-class customers and multi-class servers. Compatibility constraints between the customer and server classes are described by a bipartite graph. Each time slot, exactly one…

Probability · Mathematics 2022-01-12 Céline Comte , Jan-Pieter Dorsman

In this paper we study the number of customers in infinite-server queues with a self-exciting (Hawkes) arrival process. Initially we assume that service requirements are exponentially distributed and that the Hawkes arrival process is of a…

Probability · Mathematics 2018-05-02 David Koops , Mayank Saxena , Onno Boxma , Michel Mandjes

We consider learning outcomes in games with carryover effects between rounds: when outcomes in the present round affect the game in the future. An important example of such systems is routers in networking, as they use simple learning…

Computer Science and Game Theory · Computer Science 2025-07-22 Ariana Abel , Yoav Kolumbus , Jeronimo Martin Duque , Cristian Palma Foster , Eva Tardos

We introduce the mobile server problem, inspired by current trends to move computational tasks from cloud structures to multiple devices close to the end user. An example for this are embedded systems in autonomous cars that communicate in…

Data Structures and Algorithms · Computer Science 2019-04-11 Björn Feldkord , Friedhelm Meyer auf der Heide

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

Optimization and Control · Mathematics 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a uniform location. A single server cyclically travels over the circle to serve all…

Probability · Mathematics 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

In machine-type communication (MTC), a group of devices or sensors may need to send their data packets with certain access delay limits for delay-sensitive applications or real-time Internet-of-Things (IoT) applications. In this case,…

Information Theory · Computer Science 2020-07-28 Jinho Choi

We consider a semi-open queueing network (SOQN), where a customer requires exactly one resource from the resource pool for service. If there is a resource available, the customer is immediately served and the resource enters an inner…

Probability · Mathematics 2022-11-09 Sonja Otten , Ruslan Krenzler , Lin Xie , Hans Daduna , Karsten Kruse