Combination of arrival rate prediction method and the G/G/1/K polling system with k-limited service discipline

Shin Yeu Lin*, Shih Cheng Horng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we proposed an arrival rate prediction method to combine with the previously developed ordinal optimization (OO) theory based algorithm for the G/G/1/K polling system with the k-limited service discipline so as to achieve the real-time application purpose. We employ the Box-Jenkins method for predicting the arrival rate every Δt period, which is the computation time of the OO theory based algorithm. The predicted arrival rates will serve as the current arrival rates in the OO theory based algorithm. We have tested the proposed method by comparing with the cases of using the actual arrival rate at t + Δt, which is considered as the ideal case, and the arrival rate at t , which is considered as the case without prediction, in the OO theory based algorithm. The test results show that the performance of the case without prediction is 11.6% worse than the ideal case, while the proposed method achieves a performance of only 4.5% worse than the ideal case.

Original languageEnglish
Title of host publicationIEEM 2009 - IEEE International Conference on Industrial Engineering and Engineering Management
Pages1767-1771
Number of pages5
DOIs
StatePublished - 2009
EventIEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2009 - Hong Kong, China
Duration: 08 12 200911 12 2009

Publication series

NameIEEM 2009 - IEEE International Conference on Industrial Engineering and Engineering Management

Conference

ConferenceIEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2009
Country/TerritoryChina
CityHong Kong
Period08/12/0911/12/09

Keywords

  • Arrival rate prediction
  • Box-Jenkins method
  • G/G/1/K polling system
  • Ordinal optimization
  • Time series forecasting
  • k-limited service discipline

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