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We consider an extension of the classical machine-repair model, where we assume that the machines, apart from receiving service from the repairman, also serve queues of products. The extended model can be viewed as a layered queueing…

概率论 · 数学 2014-12-24 J. L. Dorsman , O. J. Boxma , M. Vlasiou

The models studied in the steady state involve two queues which are served either by a single server whose speed depends on the number of jobs present, or by several parallel servers whose number may be controlled dynamically. Job service…

性能 · 计算机科学 2021-12-03 Andrea Marin , Isi Mitrani

Multi-server queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines at airports, waiting rooms in hospitals, queues in contact centers, data buffers in wireless…

概率论 · 数学 2019-07-30 Johan S. H. van Leeuwaarden , Britt W. J. Mathijsen , Bert Zwart

This study intends to present a representation of a pensions fund through a stochastic network with two infinite servers nodes. With this representation it is allowed to deduce an equilibrium condition of the system with basis on the…

Motivated by timeouts in Internet services, we consider networks of infinite server queues in which routing decisions are based on deadlines. Specifically, at each node in the network, the total service time equals the minimum of several…

性能 · 计算机科学 2016-09-20 Neal Master , Nicholas Bambos

A broad class of parallel server systems is considered, for which we prove the steady-state asymptotic independence of server workloads, as the number of servers goes to infinity, while the system load remains sub-critical. Arriving jobs…

概率论 · 数学 2020-12-21 Seva Shneer , Alexander Stolyar

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

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…

概率论 · 数学 2017-11-15 Dieter Fiems , Michel Mandjes , Brendan Patch

Queue networks describe complex stochastic systems of both theoretical and practical interest. They provide the means to assess alterations, diagnose poor performance and evaluate robustness across sets of interconnected resources. In the…

统计计算 · 统计学 2017-11-02 Iker Perez , David Hodge , Theodore Kypraios

In wireless networks relay nodes can be used to assist the users' transmissions to reach their destination. Work on relay cooperation, from a physical layer perspective, has up to now yielded well-known results. This paper takes a different…

网络与互联网体系结构 · 计算机科学 2015-06-23 Georgios Papadimitriou , Nikolaos Pappas , Apostolos Traganitis , Vangelis Angelakis

A single server retrial queueing system with two-classes of orbiting customers, and general class dependent service times is considered. If an arriving customer finds the server unavailable, it enters a virtual queue, called the orbit,…

概率论 · 数学 2018-02-22 Ioannis Dimitriou

In this paper we analyze an $M/M/1$ queueing system with an arbitrary number of customer classes, with class-dependent exponential service rates and preemptive priorities between classes. The queuing system can be described by a…

概率论 · 数学 2015-11-13 Andrei Sleptchenko , Jori Selen , Ivo Adan , Geert-Jan van Houtum

Two independent Poisson streams of jobs flow into a single-server service system having a limited common buffer that can hold at most one job. If a type-i job (i=1,2) finds the server busy, it is blocked and routed to a separate type-i…

离散数学 · 计算机科学 2012-06-26 Konstantin Avrachenkov , Philippe Nain , Uri Yechiali

This paper studies statistical inference in a network of infinite-server queues, with the aim of estimating the underlying parameters (routing matrix, arrival rates, parameters pertaining to the service times) using observations of the…

概率论 · 数学 2025-06-10 Hritika Gupta , Michel Mandjes , Liron Ravner , Jiesen Wang

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

概率论 · 数学 2018-08-23 Refael Hassin , Liron Ravner

Networks-on-chip (NoCs) have become the standard for interconnect solutions in industrial designs ranging from client CPUs to many-core chip-multiprocessors. Since NoCs play a vital role in system performance and power consumption,…

性能 · 计算机科学 2020-01-07 Sumit K. Mandal , Raid Ayoub , Michael Kishinevsky , Umit Y. Ogras

Till today we dreamt of imperceptible delay in a network. The computer science research grows today faster than ever offering more and more services (computational representational, graphical, intelligent implication etc) to its user. But…

网络与互联网体系结构 · 计算机科学 2011-10-18 Soumen Kanrar , M Siraj

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

理论经济学 · 经济学 2022-12-01 Ata Atay , Christian Trudeau

This paper discusses a maintenance network with failed items that can be removed, repaired, redistributed, and reused under two batch policies: one for removing the failed items from each base to a maintenance shop and the other for…

性能 · 计算机科学 2022-02-15 Rui-Na Fan , Quan-Lin Li , Xiaole Wu , Zhe George Zhang

We consider the queuing networks, which are made from servers, exchanging their positions. The customers, using the network, try to reach their destinations, which is complicated by the movements of the servers, taking their customers with…

概率论 · 数学 2013-11-18 François Baccelli , Alexandre Rybko , Senya Shlosman
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