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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/10274

Title: Collision Probability in an In-Line Machines Model
Authors: Chiba, Eishi
Asano, Tetsuo
Miura, Takeshi
Katoh, Naoki
Mitsuka, Ikuo
Keywords: Collision probability
In-line machine
Tact time
Issue Date: 2011-08-08
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 6750/2011
Start page: 1
End page: 12
DOI: 10.1007/978-3-642-22619-9_1
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.
Rights: This is the author-created version of Springer, Eishi Chiba, Tetsuo Asano, Takeshi Miura, Naoki Katoh and Ikuo Mitsuka, Lecture Notes in Computer Science, 6750/2011, 2011, 1-12. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-22619-9_1
URI: http://hdl.handle.net/10119/10274
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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