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  本文選題：產(chǎn)品族 + 主從關聯(lián)優(yōu)化�。� 參考：《天津大學》2014年博士論文

【摘要】：相比以往單層模型或者分階段的研究，產(chǎn)品族設計由于其多主體、多層次和多學科的特點，，其中的某些問題更適合利用主從模型進行設計，也越來越得到重視。本文從產(chǎn)品族設計的主從關聯(lián)優(yōu)化問題入手，首先對產(chǎn)品族主從關聯(lián)優(yōu)化模型進行了研究，然后在此基礎上對主從優(yōu)化模型提出了分解協(xié)調(diào)方法，最后對產(chǎn)品族設計中存在的兩類典型主從關聯(lián)問題進行了詳細研究。全文每章節(jié)研究分別配以數(shù)學算例、通用電機產(chǎn)品族和自行車產(chǎn)品族進行了案例說明。 論文的具體工作包括： 第一、本文對產(chǎn)品主從優(yōu)化模型從分析框圖、數(shù)學模型及一般分類框架等方面進行了理論研究。其中分析框圖建立了二維分析模型，數(shù)學模型中根據(jù)產(chǎn)品族本質(zhì)屬性，研究了具有協(xié)同項特征的主從優(yōu)化模型，最后通過從者之間變量和策略集的劃分，給出了模型的一般分類框架。 第二、對工程中具有層次結(jié)構(gòu)的設計優(yōu)化問題，目標級聯(lián)是一個有效的分解方法。本文針對下層為凸規(guī)劃的一類雙層規(guī)劃問題，在利用KKT條件轉(zhuǎn)化為單層優(yōu)化問題后，基于目標級聯(lián)方法并結(jié)合目標函數(shù)和約束條件的FDT表，提出了一種兩層結(jié)構(gòu)的目標級聯(lián)式分解方法。 第三、在前面產(chǎn)品族一主多從模型一般形式的基礎上，針對從者之間決策變量出現(xiàn)耦合的情形，利用在目標函數(shù)上添加偏差項，給出了一個分解協(xié)調(diào)的算法，使得從者之間變量獨立，并討論了原問題的Pareto解與分解協(xié)調(diào)后問題可行解之間的關系。 第四、針對產(chǎn)品族的模塊配置為主，屬性參數(shù)設計為從的一類典型設計問題，建立了一個關聯(lián)和協(xié)同優(yōu)化的混合0-1非線性雙層規(guī)劃模型：模型的上層是整個產(chǎn)品族的配置優(yōu)化問題，以成本-效用為優(yōu)化目標，決策產(chǎn)品族的模塊屬性配置；下層是產(chǎn)品模塊屬性的參數(shù)優(yōu)化問題，以屬性的技術性能為優(yōu)化目標，決策與上層配置相匹配的屬性參數(shù)設計。 第五、針對模塊屬性組合中的一類典型設計問題，在模型中引入了0-1變量實現(xiàn)對模塊屬性檔級的選擇，以制造商成本和客戶效用的比值及產(chǎn)品族通用性指數(shù)作為上層目標，以產(chǎn)品可選屬性效用最大化為下層目標，實現(xiàn)必選模塊和可選模塊的主從優(yōu)化組合。
[Abstract]:Compared with the previous single-layer model or multi-stage research, product family design is more and more suitable for master-slave model design because of its multi-agent, multi-level and multi-disciplinary characteristics. Starting with the master-slave association optimization problem of product family design, this paper first studies the master-slave association optimization model of product family, and then puts forward a decomposition coordination method for the master-slave optimization model. Finally, two kinds of typical master-slave correlation problems in product family design are studied in detail. Each chapter of this paper is illustrated by mathematical examples, general motor product family and bicycle product family. The specific work of the thesis includes: Firstly, this paper makes a theoretical study on the product master-slave optimization model from the analysis block diagram, mathematical model and general classification framework. In the mathematical model, according to the essential attributes of product family, the master-slave optimization model with the characteristics of cooperative items is studied. Finally, by dividing variables and policy sets between followers and followers, a two-dimensional analysis model is established. The general classification framework of the model is given. Secondly, objective cascade is an effective decomposition method for the design optimization problem with hierarchical structure in engineering. In this paper, for a class of bilevel programming problems with convex programming, after transforming the KKT condition into a single-layer optimization problem, a FDT table based on the method of cascading objectives and combining objective functions with constraints is presented. An object cascade decomposition method with two-layer structure is proposed. Thirdly, on the basis of the general form of the previous product family, a principal and multiple slave model, a decomposition and coordination algorithm is given by adding deviation items to the objective function in view of the coupling of decision variables between the follower and the follower. The relations between the Pareto solution of the original problem and the feasible solution of the problem after decomposition and coordination are discussed. Fourthly, for the module configuration of the product family, the attribute parameter is designed as a typical design problem. A hybrid 0-1 nonlinear bilevel programming model of association and cooperative optimization is established. The upper level of the model is the configuration optimization problem of the whole product family. The optimization goal is cost utility and the module attribute configuration of the product family is decided. The lower layer is the parameter optimization problem of the product module attribute. The attribute parameter design is based on the technical performance of the attribute and the matching between the decision and the upper configuration. Fifthly, aiming at a class of typical design problems in module attribute combination, 0-1 variable is introduced into the model to select the module attribute file level, which takes the ratio of manufacturer cost and customer utility and the generality index of product family as the upper target. With the aim of maximizing the utility of optional attributes, the combination of required module and optional module is realized.
【學位授予單位】：天津大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：TB472

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