Development of an analysis framework for measurement-based dynamic optimization

开发基于测量的动态优化分析框架

• 批准号: 312315-2006
• 负责人: Srinivasan, Balasubrahmanyan
• 金额: $ 1.49万
• 依托单位: École Polytechnique de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2007
• 资助国家: 加拿大
• 起止时间: 2007-01-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=361878
• 关键词: Development; analysis; framework; measurement; based

Development of science consists of inventing new ideas and implementing them efficiently. Once a new process has been developed, optimizing its operation is essential for its commercialization. Also, the importance of optimization resurfaces, when an existing process faces tough economical and environmental challenges. Usually, optimization is carried out numerically based on a mathematical model of the process. However, these models are not always accurate and the numerical solution so obtained does not correspond to the optimal operation. So, the context of the current project is measurement-based optimization, where measurements taken from the process are used for optimization, instead of a mathematical model. Among measurement-based optimization techniques, there has been considerable effort in the domain of unconstrained static optimization, where the best operating point without constraints is determined.  However, the proposed research addresses the more complex and realistic problem of constrained dynamic optimization, where optimal time profiles are sought in the presence of constraints both during the operation and on the final product specifications. The objective of the research is to provide an analytical framework for the constrained dynamic optimization problem based on measurements. This framework will lead to the development of efficient algorithms, which can be employed not only for operational problems, like improving the productivity of an industrial unit, but eventually also to scheduling and supply chain management problems.

科学的发展包括发明新思想和有效地实施它们。一旦开发出一种新工艺，优化其操作对于其商业化至关重要。此外，当现有工艺面临坚韧的经济和环境挑战时，优化的重要性重新浮出水面。通常，基于过程的数学模型进行数值优化。然而，这些模型并不总是准确的，因此获得的数值解并不对应于最佳操作。因此，当前项目的背景是基于测量的优化，其中从过程中获取的测量值用于优化，而不是数学模型。在基于测量的优化技术中，在无约束静态优化领域已经有了相当大的努力，在没有约束的情况下确定最佳操作点，然而，所提出的研究解决了更复杂和现实的约束动态优化问题，在操作过程中和最终产品规格上存在约束的情况下寻求最佳时间曲线。研究的目的是提供一个分析框架，基于测量的约束动态优化问题。这个框架将导致开发高效的算法，这不仅可以用于操作问题，如提高生产率的工业单位，但最终也调度和供应链管理问题。