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Author:Haxholdt, C.
Larsen, E.R.
Ackere, A. van
Title:Mode locking and chaos in a deterministic queueing model with feedback
Journal:Management Science
2003 : JUN, VOL. 49:6, p. 816-830
Index terms:Chaos
Simulation
Queuing theory
Freeterms:Mode locking
Language:eng
Abstract:A simple, deterministic queueing system with feedback, which exhibits the phenomena of sustained oscillation, mode locking, quasi-periodic behaviour and chaos is considered in this article. This implies that a fully deterministic queueing system can exhibit seemingly unpredictable behaviour. Variability is ignored, and to forms of feedback are focused on: 1) the service rate increases as queue length increases and 2) the arrival rate depends on customers' perception of past waiting times. A customer's decision is modeled to seek service as a two-stage process: 1) deciding whether or not to use a facility and 2) deciding the frequency of visit.
SCIMA record nr: 254609
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