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Collision Probability in an In-Line Machines Model

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Book cover Transactions on Computational Science XIII

Part of the book series: Lecture Notes in Computer Science ((TCOMPUTATSCIE,volume 6750))

Abstract

This paper presents a simple model of the manufacturing line which focuses on the performance of collision probability, and a method of application to the manufacture of Flat Panel Displays (FPDs) and semiconductors. We derive an approximate formula of the collision probability. When the processing time follows a normal distribution, we also did simulations to evaluate the exact probabilities and confirm that our approximation approach yields reasonable results compared to the simulated results. Moreover, we simplify our approximate formula of the collision probability. Concretely speaking, we derive a closed form formula when the processing time follows an exponential distribution. Finally, we present an optimization problem with the collision probability and show a method to solve it.

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References

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Author information

Authors and Affiliations

  1. Department of Industrial and Systems Engineering, Faculty of Science and Engineering, Hosei University, 3-7-2, Kajino-cho, Koganei-shi, Tokyo, 184-8584, Japan

    Eishi Chiba

  2. School of Information Science, Japan Advanced Institute of Science and Technology, 1-1, Asahidai, Nomi, 923-1292, Japan

    Tetsuo Asano

  3. Hitachi, Ltd., 890 Kashimada, Saiwai-ku, Kawasaki, 212-8567, Japan

    Takeshi Miura

  4. Department of Architecture and Architectural Engineering, Graduate School of Engineering, Kyoto University, Nishikyo, Kyoto, 615-8540, Japan

    Naoki Katoh

  5. FEBACS Co., Ltd., Dainippon Screen Gojo Bldg., 12-2 Chudoji Bojo-cho, Shimogyo-ku, Kyoto, 600-8811, Japan

    Ikuo Mitsuka

Authors
  1. Eishi Chiba
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  2. Tetsuo Asano
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  3. Takeshi Miura
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  4. Naoki Katoh
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  5. Ikuo Mitsuka
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  2. Exascala Ltd., Unit 9, 97 Rickman Drive, B15 2AL, Birmingham, UK

    C. J. Kenneth Tan

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© 2011 Springer-Verlag Berlin Heidelberg

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Chiba, E., Asano, T., Miura, T., Katoh, N., Mitsuka, I. (2011). Collision Probability in an In-Line Machines Model. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science XIII. Lecture Notes in Computer Science, vol 6750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22619-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-22619-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22618-2

  • Online ISBN: 978-3-642-22619-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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