A mixed-integer nonlinear programming algorithm for process systems synthesis
A mixed-integer nonlinear programming algorithm for process systems synthesis
复制标题
过程系统综合的混合整数非线性规划算法
DOI：
--
复制
发表时间：
1986
期刊：
影响因子：
--
通讯作者：
I. Grossmann
中科院分区：
文献类型：
--
作者：
M. Duran;I. Grossmann
本文讨论了通过同时进行结构和参数优化来综合处理系统的问题。基于嵌入替代配置的超结构表示，一般的混合整数非线性规划（MINLP）的综合问题的框架。一个有效的外近似算法描述的基本优化问题的解决方案，其特征在于线性二元变量和连续变量，出现在非线性函数。该算法是基于一个边界序列，需要分析的几个系统配置，并确定新的候选结构的主问题的解决方案。最后以天然气管道优化综合为例说明了该算法的应用。
The problem of synthesizing processing systems via simultaneous structural and parameter optimization is addressed in this paper. Based on a superstructure representation for embedding alternative configurations, a general mixed-integer nonlinear programming (MINLP) framework is presented for the synthesis problem. An efficient outer-approximation algorithm is described for the solution of the underlying optimization problem, which is characterized by linear binary variables and continuous variables that appear in nonlinear functions. The proposed algorithm is based on a bounding sequence that requires the analysis of few system configurations, and the solution of a master problem that identifies new candidate structures. Application of the proposed algorithm is illustrated with the optimal synthesis of gas pipelines.