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Many-server scaling of the N-system under FCFS–ALIS

Zhan, D; Weiss, G; (2017) Many-server scaling of the N-system under FCFS–ALIS. Queueing Systems , 88 , Article 27. 10.1007/s11134-017-9549-7. Green open access

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Abstract

The N-system with independent Poisson arrivals and exponential server-dependent service times under the first come first served and assign to the longest idle server policy has an explicit steady-state distribution. We scale the arrival rate and the number of servers simultaneously, and obtain the fluid and central limit approximation for the steady state. This is the first step toward exploring the many-server scaling limit behavior of general parallel service systems.

Type: Article
Title: Many-server scaling of the N-system under FCFS–ALIS
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s11134-017-9549-7
Publisher version: http://dx.doi.org/10.1007/s11134-017-9549-7
Language: English
Additional information: © The Author(s) 2017. This article is an open access publication
Keywords: N-system, Many-server scaling, Fluid limits, Central limits, First come first served, Assign to the longest idle server
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > UCL School of Management
URI: https://discovery.ucl.ac.uk/id/eprint/10026107
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