面向产品族设计的双层规划模型及其交互式模糊算法研究
发布时间:2018-09-05 16:40
【摘要】:产品族(Product Family),作为产品的一种扩展表现形式,近年来已经成为主流理论界和实业界关注的重要主题。这不仅因为产品族设计和制造是大规模定制生产的核心内容,而且因为产品族的架构策略作为获取竞争优势的重要手段已经成为企业竞争战略的关键性构成要素。由于产品族设计中往往涉及多个决策主体,如企业内部处在不同设计阶段设计者以及产品族的供应链厂商等。这使得产品族设计的模型往往具有多主体的特性,使得运用双层规划来描述企业的产品族策略成为近10年来的工业工程领域的研究热点,但现有的双层规划问题在求解产品族双层规划问题时适用性较差,且针对产品族设计中双层规划问题的算法研究较少故针对产品族设计问题的性质开发适合的求解算法就显得尤为重要。本文系统的总结了现有的双层规划算法,阐述了现有算法在求解产品族双层规划问题的不足,同时本文总结梳理了现有学者的借助双层规划数学模型对产品族设计进行建模和求解的研究,深入讨论提出模型的数学性质和该性质的背后的物理背景,并探讨产品族主从关联和传统运用单层数学规划对产品族问题进行建模在决策机制、数学模型上的区别。对以往研究中产品族主从关联优化问题中的典型数学数学模型进行总结,并从数学角度论证模型的数学性质,对相关的重要概念进行数学证明。基于上述工作,本文提出了几个针对产品族问题中双层规划问题的交互式模糊算法,阐述了算法的原理思想和步骤,并将其运用到了通用电机产品族设计的实际案例中。
[Abstract]:Product family (Product Family), as an extended form of product, has become an important subject in the mainstream theory and industry in recent years. This is not only because the design and manufacture of product family is the core content of mass customization production, but also because the structure strategy of product family as an important means to gain competitive advantage has become the key element of enterprise competition strategy. In product family design, many decision makers are often involved, such as designers in different design stages and supply chain manufacturers in product families. This makes the models of product family design often have the characteristics of multi-agent, which makes the use of bilevel programming to describe the product family strategy of enterprises has become the research hotspot in the field of industrial engineering in the past 10 years. However, the existing bilevel programming problems are less suitable for solving product family bilevel programming problems. There are few researches on bilevel programming problem in product family design, so it is very important to develop suitable solution algorithm for product family design problem. This paper systematically summarizes the existing bilevel programming algorithms, and expounds the shortcomings of the existing algorithms in solving the product family bilevel programming problems. At the same time, this paper summarizes and combs the existing scholars' research on modeling and solving product family design by means of bilevel programming mathematical model, and discusses the mathematical properties of the proposed model and the physical background behind this property. This paper also discusses the difference between the decision mechanism and mathematical model of product family problems based on the relationship between principal and subordinate of product family and the traditional use of single-layer mathematical programming to model product family problems. This paper summarizes the typical mathematical models in the previous researches on the math-slave association optimization problems of product families, proves the mathematical properties of the models from the mathematical point of view, and proves the relevant important concepts mathematically. Based on the above work, this paper presents several interactive fuzzy algorithms for bilevel programming problems in product family problems, expounds the principle and steps of the algorithm, and applies it to practical cases of general motor product family design.
【学位授予单位】:天津大学
【学位级别】:硕士
【学位授予年份】:2014
【分类号】:F224;F273
[Abstract]:Product family (Product Family), as an extended form of product, has become an important subject in the mainstream theory and industry in recent years. This is not only because the design and manufacture of product family is the core content of mass customization production, but also because the structure strategy of product family as an important means to gain competitive advantage has become the key element of enterprise competition strategy. In product family design, many decision makers are often involved, such as designers in different design stages and supply chain manufacturers in product families. This makes the models of product family design often have the characteristics of multi-agent, which makes the use of bilevel programming to describe the product family strategy of enterprises has become the research hotspot in the field of industrial engineering in the past 10 years. However, the existing bilevel programming problems are less suitable for solving product family bilevel programming problems. There are few researches on bilevel programming problem in product family design, so it is very important to develop suitable solution algorithm for product family design problem. This paper systematically summarizes the existing bilevel programming algorithms, and expounds the shortcomings of the existing algorithms in solving the product family bilevel programming problems. At the same time, this paper summarizes and combs the existing scholars' research on modeling and solving product family design by means of bilevel programming mathematical model, and discusses the mathematical properties of the proposed model and the physical background behind this property. This paper also discusses the difference between the decision mechanism and mathematical model of product family problems based on the relationship between principal and subordinate of product family and the traditional use of single-layer mathematical programming to model product family problems. This paper summarizes the typical mathematical models in the previous researches on the math-slave association optimization problems of product families, proves the mathematical properties of the models from the mathematical point of view, and proves the relevant important concepts mathematically. Based on the above work, this paper presents several interactive fuzzy algorithms for bilevel programming problems in product family problems, expounds the principle and steps of the algorithm, and applies it to practical cases of general motor product family design.
【学位授予单位】:天津大学
【学位级别】:硕士
【学位授予年份】:2014
【分类号】:F224;F273
【参考文献】
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1 侯亮;王浩伦;穆瑞;黄伟;林文广;赖荣q,
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