2024-03-28T15:22:16Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00019570
2022-12-14T04:15:41Z
1221:1222
Collision Probability in an In-Line Equipment Model under Erlang Distribution
Chiba, Eishi
Fujiwara, Hiroshi
Sekiguchi, Yoshiyuki
Ibaraki, Toshihide
copyright©2014 IEICE
stochastic model
collision probability
Erlang distribution
closed form
approximation
Flat Panel Displays (FPDs) are manufactured using many pieces of different processing equipment arranged sequentially in a line. Although the constant inter-arrival time (i.e., the tact time) of glass substrates in the line should be kept as short as possible, the collision probability between glass substrates increases as tact time decreases. Since the glass substrate is expensive and fragile, collisions should be avoided. In this paper, we derive a closed form formula of the approximate collision probability for a model, in which the processing time on each piece of equipment is assumed to follow Erlang distribution. We also compare some numerical results of the closed form and computer simulation results of the collision probability.
Article
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS. E96D(3): 400-407 (2013)
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
2013
eng
journal article
VoR
http://hdl.handle.net/10091/00020331
https://soar-ir.repo.nii.ac.jp/records/19570
https://doi.org/10.1587/transinf.E96.D.400
10.1587/transinf.E96.D.400
0916-8532
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
E96D
3
400
407
https://soar-ir.repo.nii.ac.jp/record/19570/files/E96.D_400.pdf
application/pdf
507.4 kB
2018-03-09