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Please use this identifier to cite or link to this item: http://hdl.handle.net/1992/60

Title: Transient Behavior of Queueing Networks
Authors: Riaño, Germán
Serfozo, Richard
Hackman, Steve
Issue Date: 12-Oct-2003
Publisher: Submitted to Operations Research manuscript OPRE-2006-07-294
Series/Report no.: COPA
2006-002 - 2
Abstract: We present algorithms for approximating time-varying performance parameters for a Gt/G/c queuing system and for networks of such stations. The key ingredient is a formula for computing approximate sojourn time distributions for a Gt/G/c queuing system with time-varying arrivals and phase-type service times. The formula is based on transient Little laws expressing expected queue lengths and outputs as integrals of “nonstationary” Palm distributions of sojourn times. The algorithms were designed for use in optimizing inputs to production and computer systems. Numerical examples show their accuracy.
URI: http://hdl.handle.net/1992/60
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