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Characterization of the Transient Response of Coupled Optimization in Multidisciplinary Design

机译：多学科设计中耦合优化的瞬态响应特征

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摘要

Time is an asset of critical importance in a multidisciplinary design process and it is desirable to reduce the amount of time spent designing products and systems. Design is an iterative activity and designers consume a significant portion of the product: development process negotiating a mutually acceptable solution. The amount of time necessary to complete a design depends on the number and duration of design iterations. This paper focuses on accurately characterizing the number of iterations required for designers to converge to an equilibrium solution in distributed design processes. In distributed design, systems are decomposed into smaller, coupled design problems where individual designers have control over local design decisions and seek to achieve their own individual objectives. These smaller coupled design optimization problems can be modeled using coupled games and the number of iterations required to reach equilibrium solutions varies based on initial conditions and process architecture. In this paper, we leverage concepts from game theory, classical controls, and discrete systems theory to evaluate and approximate process architectures without carrying out any solution iterations. As a result, we develop an analogy between discrete decisions and a continuous time representation that we analyze using control theoretic techniques.
机译：时间是多学科设计过程中至关重要的资产，因此希望减少设计产品和系统所花费的时间。设计是一项反复的活动，设计人员会使用产品的很大一部分：开发过程需要协商一个相互接受的解决方案。完成设计所需的时间取决于设计迭代的次数和持续时间。本文着重于准确描述设计人员收敛到分布式设计过程中的平衡解决方案所需的迭代次数。在分布式设计中，系统被分解为更小的耦合设计问题，其中，各个设计师可以控制本地设计决策并寻求实现自己的个人目标。可以使用耦合博弈对这些较小的耦合设计优化问题进行建模，并且达到平衡解决方案所需的迭代次数会根据初始条件和过程体系结构而变化。在本文中，我们利用博弈论，经典控制和离散系统理论中的概念来评估和近似过程体系结构，而无需执行任何解决方案迭代。结果，我们在离散决策和连续时间表示之间建立了一个类比，使用控制理论技术进行了分析。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第7期|910209.1-910209.15|共15页
  • 作者

    Erich Devendorf; Kemper Lewis;

  • 作者单位

    Air Force Research Laboratory, Information Directorate, Rome, NY 13044, USA;

    Department of Mechanical and Aerospace Engineering, University at Buffalo-SUNY, Buffalo, NY 14260, USA;

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