Presentation 2003/6/12
Queueing System Theory : The Past, Present, and Future from IT View Point
Yoshitaka TAKAHASHI,
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Abstract(in English) A. K. Erlang started the queueing system theory and found it to be useful for telecommunication engineers in the early years in the 20-th century. Since Erlang's pioneering work, F. Pollaczek, A. Ja Khinchine, C. Palm, D. G. Kendall, H. Morimura, G. F. Newell, H. Kobayashi, Yuk Takahashi, M. F. Neuts, D. Koenig, and M. Miyazawa have elegantly and successfully developed the theory in many ways. The queueing system theory has now established itself as the method of choice in analyzing and evaluating recently-developed and currently-developing information network performance. From the information technology (IT) view point, we present important queueing analysis methods, e.g., the birth-death process, imbedded Markov technique, supplementary variable technique, matrix analysis method, fluid approximation, diffusion approximation, and the point process theory. We also discuss the potential applicability and future prospects of the theory.
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Keyword(in English) queueing system / performance evaluation / imbedded Markov technique / supplementary variable technique / matrix analysis method / fluid approximation / diffusion approximation / point process theory / rate conservation law
Paper # IN2003-23
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Conference Date 2003/6/12(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Queueing System Theory : The Past, Present, and Future from IT View Point
Sub Title (in English)
Keyword(1) queueing system
Keyword(2) performance evaluation
Keyword(3) imbedded Markov technique
Keyword(4) supplementary variable technique
Keyword(5) matrix analysis method
Keyword(6) fluid approximation
Keyword(7) diffusion approximation
Keyword(8) point process theory
Keyword(9) rate conservation law
1st Author's Name Yoshitaka TAKAHASHI
1st Author's Affiliation Graduate School of Commerce, Waseda University()
Date 2003/6/12
Paper # IN2003-23
Volume (vol) vol.103
Number (no) 123
Page pp.pp.-
#Pages 6
Date of Issue