Model of production system with time delay using stochastic bilinear equation
by Kenji Shirai; Yoshinori Amano
Asian J. of Management Science and Applications (AJMSA), Vol. 2, No. 1, 2015

Abstract: This study proposes a stochastic bilinear differential equation to model the production process by including a time delay. The time delay is caused by factors such as variations in workers' skill levels, the delay in delivering materials, and logistical issues. We verify the existence of a unique solution to the proposed mathematical model. To obtain a unique solution, we introduce a stochastic bilinear partial differential equation. We consider that a manufacturer with external companies produces some of the ordered equipment. For the model evaluation, we compare the model results with actual data, which were obtained from the production of control equipment.

Online publication date: Tue, 22-Sep-2015

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