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Motivated by a web-server model, we present a queueing network consisting of two layers. The first layer incorporates the arrival of customers at a network of two single-server nodes. We assume that the inter-arrival and the service times…

Probability · Mathematics 2017-01-13 Angelos Aveklouris , Maria Vlasiou , Jiheng Zhang , Bert Zwart

One of the recent innovations in urban distribution is crowdsourced delivery, where deliveries are made by occasional drivers who wish to utilize their surplus resources (unused transport capacity) by making deliveries in exchange for some…

Optimization and Control · Mathematics 2024-11-05 Alim Buğra Çınar , Wout Dullaert , Markus Leitner , Rosario Paradiso , Stefan Waldherr

We consider large-scale service systems with multiple customer classes and multiple server pools; interarrival and service times are exponentially distributed, and mean service times depend both on the customer class and server pool. It is…

Probability · Mathematics 2014-08-05 Alexander Stolyar , Elena Yudovina

In this paper, we consider a bidirectional relay network with half-duplex nodes and block fading where the nodes transmit with a fixed transmission rate. Thereby, user 1 and user 2 exchange information only via a relay node, i.e., a direct…

Information Theory · Computer Science 2016-11-15 Vahid Jamali , Nikola Zlatanov , Robert Schober

The paper investigates a dial-a-ride problem focusing on the residents of large cities. These individuals have the opportunity to use a wide variety of transportation modes. Because of this, ridepooling providers have to solve the tradeoff…

Optimization and Control · Mathematics 2022-08-02 Arne Schulz , Christian Pfeiffer

In this paper we consider a single-server polling system with switch-over times. We introduce a new service discipline, mixed gated/exhaustive service, that can be used for queues with two types of customers: high and low priority…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan

Understanding the performance of a pool of servers is crucial for proper dimensioning. One of the main challenges is to take into account the complex interactions between servers that are pooled to process jobs. In particular, a job can…

Networking and Internet Architecture · Computer Science 2019-10-03 Thomas Bonald , Céline Comte , Fabien Mathieu

We consider many-server queueing systems with heterogeneous exponential servers and renewal arrivals. The service rate of each server is a random variable drawn from a given distribution. We develop a framework for analyzing the heavy…

Probability · Mathematics 2019-05-13 Burak Büke , Wenyi Qin

Today's ride-hailing systems experienced significant growth and ride-pooling promises to allow for efficient and sustainable on-demand transportation. However, efficient ride-pooling requires a large pool of participating customers. To…

Systems and Control · Electrical Eng. & Systems 2021-07-05 Paul Karaenke , Maximilian Schiffer , Stefan Waldherr

A multiple access system with bursty data arrivals to the terminals is considered. The users are frame-synchronized, with variable sized packets independently arriving in each slot at every transmitter. Each packet needs to be delivered to…

Information Theory · Computer Science 2016-11-29 Sakshi Kapoor , Sreejith Sreekumar , Sibi Raj B Pillai

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

Random multiple-access protocols of type ALOHA are used to regulate networks with a star configuration where client nodes talk to the hub node at the same frequency (finding a wide range of applications among telecommunication systems,…

Probability · Mathematics 2012-11-07 Maria Frolkova , Sergey Foss , Bert Zwart

We present an overview of scalable load balancing algorithms which provide favorable delay performance in large-scale systems, and yet only require minimal implementation overhead. Aimed at a broad audience, the paper starts with an…

Performance · Computer Science 2017-12-25 Mark van der Boor , Sem C. Borst , Johan S. H. van Leeuwaarden , Debankur Mukherjee

We consider the problem of load balancing in parallel queues by transferring customers between them at discrete points in time. Holding costs accrue as customers wait in the queue, while transfer decisions incur both fixed (setup) costs and…

Optimization and Control · Mathematics 2025-08-13 Timothy C. Y. Chan , Jangwon Park , Vahid Sarhangian

Motivated by the growing demand for serving large language model inference requests, we study distributed load balancing for global serving systems with network latencies. We consider a fluid model in which continuous flows of requests…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-16 Santiago R. Balseiro , Vahab S. Mirrokni , Bartek Wydrowski

We consider the $\Delta_{(i)}/G/1$ queue, in which a a total of $n$ customers independently demand service after an exponential time. We focus on the case of heavy-tailed service times, and assume that the tail of the service time…

Probability · Mathematics 2016-05-23 Gianmarco Bet , Remco van der Hofstad , Johan S. H. van Leeuwaarden

A service provisioning system is examined, where a number of servers are used to offer different types of services to paying customers. A customer is charged for the execution of a stream of jobs; the number of jobs in the stream and the…

Performance · Computer Science 2015-03-19 Michele Mazzucco , Isi Mitrani , Mike Fisher , Paul McKee

The paper presents a flexibility of management of vehicles in Personal Rapid Transit (PRT) network. The algorithm used for delivering empty vehicles for waiting passengers is based on multiparameter analysis. Due to its distributed…

Systems and Control · Computer Science 2017-05-15 Wiktor B. Daszczuk , Jerzy Mieścicki

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 introduce a new model of spatial random multiple access systems with a non-standard departure policy: all arriving messages are distributed uniformly on a finite sphere in the space, and when a successful transmission of a single message…

Networking and Internet Architecture · Computer Science 2017-08-29 Sergey Foss , Andrey Turlikov , Maxim Grankin
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