@article{oai:nuis.repo.nii.ac.jp:00000068,
 author = {Shirai, Kenji and Amano, Yoshinori and 白井, 健二 and 天野, 佳則},
 issue = {3},
 journal = {International Journal of Innovative Computing, Information & Control : IJICIC},
 month = {Jun},
 note = {We clarify the self-similarity of fluctuations in a supply chain system and present a size-independent mathematical model of a supply chain system using Langevintype stochastic differential equations. As numerical examples, we provide density spectra (criteria of synchronization processes) for a given frequency ranges (lead time). The self-similarity of  fluctuations is given by the function of throughput deviations within the process. We also demonstrate that for this supply chain system, when the time constant of the time correlation function possesses a uniform Poisson distribution, the system exhibits f-1  fluctuation and when this time constant possesses a uniform distribution, the system exhibits f-2 fluctuation. Furthermore, the supply chain system has a Lorentzian spectrum under the condition of fluctuations having spectral density. We also verify the self-similarity in the supply chain system. The probability distribution of cost rate based on the lead time exhibits a normal distribution. Furthermore, the probability distribution for the absolute value of the cost rate deviation based on the lead time exhibits a power-law distribution. Finally, regarding the management strategy to be taken by the manufacturer, we propose that profit can be increased when adopting a strategy that purposefully leads to a state of excessive production or one of excessive order entries.},
 pages = {1001--1016},
 title = {SELF-SIMILARITY OF FLUCTUATIONS FOR THROUGHPUT DEVIATIONS WITHIN A PRODUCTION PROCESS},
 volume = {10},
 year = {2014},
 yomi = {シライ, ケンジ and アマノ, ヨシノリ}
}