基于排队论的理想在制品数学模型建立  

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

作　　者：陈杰[1] 鲍敏[1] 吴海龙[1] CHEN Jie BAO Min WU Hai-long(Faculty of Mechanical Engineering ＆ Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China)

机构地区：[1]浙江理工大学机械与自动控制学院,浙江杭州310018

出　　处：《机电工程》2017年第2期136-140,共5页Journal of Mechanical & Electrical Engineering

基　　金：国家自然科学基金项目(51175475)

摘　　要：针对车间生产线各工序在制品分布不合理的问题,对某一特定生产系统环境下理想在制品的数学模型进行了探索,通过剖析工序在制品数据特点,引入了排队论算法,提出了确定理想在制品数量的数学优化模型。该模型以满足生产的条件为前提,量化了各工序理想在制品数目,为管理人员控制工序在制品的数量提供了数学依据,摒弃了过去依靠经验作判断的方法,避免了工序间数量不均衡导致的资源浪费问题。最后以A公司为实例,将该车间某一生产线作业过程抽象成生产系统,通过该模型计算出了各工序理想在制品数量,并以模型结果为指导,改变了各工序数量。研究结果表明,通过该模型达到了优化生产线工序在制品分布不合理的目的,验证了该模型对车间生产较好的指导作用。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.

关 键 词：制造执行系统 在制品数量 排队论 工序 

分 类 号：TH165[机械工程—机械制造及自动化]