考虑工序外协的TOC产品组合优化研究  

TOC Product Mix Optimization with Elevated Capacity of Outside Processing

作　　者：王军强[1,2] 孙树栋[1,2] 翟颖妮[1,2] 牛刚刚[1,2] 

机构地区：[1]西北工业大学系统集成与工程管理研究所,陕西西安710072 [2]西北工业大学现代设计与集成制造技术教育部重点实验室,陕西西安710072

出　　处：《航空学报》2010年第9期1880-1891,共12页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(50705077);国家"863"计划(2007AA04Z187);陕西省自然科学基础研究计划(2009JQ9002);西北工业大学翱翔之星计划

摘　　要：针对"粗粒度"产品外包或自制模式进行能力拓展时造成的产品规划保守和接单损失问题,采用"细粒度"工序外协模式对瓶颈、非瓶颈有区别地进行产能提升,使企业设备平均利用率最高、整体有效产出最优、市场需求满意度最好。从自制商和外协商两种角度定义了有效产出,并推导了工序外协和产品外包两种不同制造模式下有效产出的关系。基于传统和新型两种约束理论(TOC)运作逻辑,根据独立优化和集成优化两种优化策略,构建了考虑工序外协的两种TOC产品组合优化数学模型。分析了工序外协和自制/外包模型间的关系,并进行了数学证明。若单位产品的外包成本等于所有工序外协的累加成本,则同一制造模式下集成优化策略不差于独立优化策略,同一优化策略下工序外协制造模式不差于产品外包制造模式。最后通过单瓶颈、多瓶颈算例分析验证了模型以及定理的有效性。Owning to the traditional capacity cxtending method of product-based coarse-grained pattern, a conservative plan is made according to the product mix solution under the outsourcing or self-manufacturing mode, often resulting in loss of profit. To improve the situation, a new capacity extending method of process-based fine-grained pattern under the outside processing manufacturing mode is introduced which diseriminatively identifies and exploits capacity constrained resources （CCR） and non-CCR to increase overall equipment utilization efficiency, maximize system throughput, and satisfy the demands for the finished products to the maximum extent. First, from the very different but inter-related viewpoints of the manufacturer and contractor, the throughput of each party is defined and their interrelations are analyzed. In addition, a comparison of throughput is drawn between the outside processing mode and product outsourcing mode and their relationships are deduced. Second, two mathematical models are presented based respectively on integrated optimization strategy of the traditional theory of constraints （TOC） operational logic and individual optimization strategy the new logic. Third, the two models are analyzed and their optimal throughputs are compared. Furthermore, if the expenses of aggregate outside processing for every product are equal to its expenses of outsourcing, then some relevant theorems are proved, which state that, the integrated optimization strategy performs as well as or better than the individual optimization strategy under the same manufacturing mode, either it is outside processing or product outsourcing mode, and that the TOC product mix optimization solution considering outside processing mode is more outstanding than the one considering outsourcing mode under the same optimization strategy, either it is integrated or individual optimization strategy. But it is not sure that the solution considering the outside processing mode using individual optimization strategy would be superio

关 键 词：产品组合优化 约束理论 工序外协 集成优化策略 有效产出 建模 

分 类 号：TH166[机械工程—机械制造及自动化] O141.4[理学—数学]