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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. |
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