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Operations Research Proceedings 2010 pp 175–180Cite as

A Further Remark on Diffusion Approximations with RB and ER Boundary Conditions

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Abstract

Diffusion approximations are developed different ways, yielding different results. In this paper we redevelop the diffusion approximation for the unfinished work process in the GI/G/1 system with reflecting barrier and elementary return boundary conditions, denoted as DAU(RB) and DAU(ER). The accuracy comparisons are presented among DAU(RB), DAU(ER), and the diffusion approximations for the queue-length process by Heyman, Kobayashi, and Gelenbe; to answer the question which diffusion approximation is the best.

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References

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Author information

Authors and Affiliations

  1. Faculty of Science and Engineering, Waseda University, 169-8555, Tokyo, Japan

    Kentaro Hoshi, Yu Nonaka & Naohisa Komatsu

  2. Faculty of Commerce, Waseda University, 169-8050, Tokyo, Japan

    Yoshitaka Takahashi

Authors
  1. Kentaro Hoshi
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  2. Yu Nonaka
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  3. Yoshitaka Takahashi
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  4. Naohisa Komatsu
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Corresponding author

Correspondence to Kentaro Hoshi .

Editor information

Editors and Affiliations

  1. , Fakultät für Betriebswirtschaft, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, Neubiberg, 85577, Bayern, Germany

    Bo Hu

  2. , Fakultät für Wirtschafts- und Organisati, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, Neubiberg, 85577, Bayern, Germany

    Karl Morasch

  3. Fakultät für Informatik, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, Neubiberg, 85577, Germany

    Stefan Pickl

  4. , Fakultät für Informatik, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, Neubiberg, 85577, Bayern, Germany

    Markus Siegle

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© 2011 Springer-Verlag Berlin Heidelberg

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Hoshi, K., Nonaka, Y., Takahashi, Y., Komatsu, N. (2011). A Further Remark on Diffusion Approximations with RB and ER Boundary Conditions. In: Hu, B., Morasch, K., Pickl, S., Siegle, M. (eds) Operations Research Proceedings 2010. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20009-0_28

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