The Gated Infinite-Server Queue with Unbounded Service Times and Heavy Traffic

Authors:
A. V. Lebedev
Affiliations:
M.V. Lomonosov Moscow State University alebedev@mech.math.msu.su
Venue:
Problems of Information Transmission
Year:
2003

Citing 3
Cited 1

Introduction to queueing theory (2nd ed)

Introduction to queueing theory (2nd ed)
The gated infinite-server queue: uniform service times

SIAM Journal on Applied Mathematics
Heavy traffic asymptotics for a gated, infinite-server queue with uniform service times

SIAM Journal on Applied Mathematics

Gated Infinite-Server Queue with Heavy Traffic and Power Tail

Problems of Information Transmission

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Abstract

A queueing system with infinitely many servers is considered where access of customers to service is controlled by a gate. The gate is open only if all servers are free. Customers are served in stages. We study the asymptotic behavior of the number of customers served in a stage and of the stage duration in the heavy traffic regime in the case where the service time distribution belongs to the attraction domain of a double exponential law.