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

Dongyuan Zhan () and Gideon Weiss ()
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Dongyuan Zhan: University College London
Gideon Weiss: The University of Haifa

Queueing Systems: Theory and Applications, 2018, vol. 88, issue 1, No 2, 27-71

Abstract: 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.

Keywords: N-system; Many-server scaling; Fluid limits; Central limits; First come first served; Assign to the longest idle server; 60K25 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11134-017-9549-7

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