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- Title
Many-server scaling of the N-system under FCFS-ALIS.
- Authors
Zhan, Dongyuan; Weiss, Gideon
- 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.
- Subjects
QUEUING theory; CLIENT/SERVER computing; POISSON processes; EXPONENTIAL stability; FLUIDS
- Publication
Queueing Systems, 2018, Vol 88, Issue 1/2, p27
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-017-9549-7