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Estimation and monitoring of traffic intensities with application to control of stochastic systems

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  • Ying‐Chao Hung
  • George Michailidis
  • Shih‐Chung Chuang

Abstract

The development of optimal control strategies for many stochastic models relies on the observed traffic intensity. However, implementation of such control strategies is often infeasible because of high operating costs induced by the fluctuations of traffic flows. In this study, we propose a framework for estimating and monitoring the traffic intensities of stochastic systems. The framework does not require knowledge of any input traffic statistics, and it allows us to adaptively estimate the intensity function over time and simultaneously detect its significant changes so that the control strategy can be adjusted accordingly without requiring high operating costs. Finally, a canonical queueing system with various types of input traffic is used to evaluate the effectiveness of the proposed framework. Copyright © 2012 John Wiley & Sons, Ltd.

Suggested Citation

  • Ying‐Chao Hung & George Michailidis & Shih‐Chung Chuang, 2014. "Estimation and monitoring of traffic intensities with application to control of stochastic systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 30(2), pages 200-217, March.
  • Handle: RePEc:wly:apsmbi:v:30:y:2014:i:2:p:200-217
    DOI: 10.1002/asmb.1961
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    Cited by:

    1. Santos Marta & Pacheco António & Morais Manuel Cabral, 2018. "Comparing Short-Memory Charts to Monitor the Traffic Intensity of Single Server Queues," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 1-21, June.

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