Mathematical model establishment on optimal amount of workinprocess based on queuing theory

CHEN Jie, BAO Min, WU Hailong

(Faculty of Mechanical Engineering & Automation, Zhejiang SciTech University, Hangzhou 310018, China)

Abstract: Aiming at the problem that workshop production line process distribution was always unreasonable, the ideal mathematical model was explored in a specific production environment , and queuing algorithm was introduced by analyzing the characteristics of process data, the optimization mathematical model was proposed. The process of ideal WIP number was quantified under meeting the production conditions, and a scientific basis to control WIP number for the workshop manager was provided, as the same time, the past methods that depended on the experience to judge was abandoned and the process of resource waste caused by unbalanced quantity was avoided. Finally, a company was taken as an example, the workshop of a production line of production system was abstracted, the ideal number of the products was calculated by the model method, at the same time, using the model results as guide and WIP number was changed. The results indicate that the objective of optimization of production line process the irrational distribution is achieved by this mathematical model. Therefore, it is proved that this model can guide the production of the workshop.

Key words: MES; amount of workinprocess; queuing theory; working procedure.