Nested Tabu Search (TS) and Sequential Quadratic Programming (SQP) Method, Combined with Adaptive Model Reformulation for Heat Exchanger Network Synthesis (HENS)
Nested Tabu Search (TS) and Sequential Quadratic Programming (SQP) Method, Combined with Adaptive Model Reformulation for Heat Exchanger Network Synthesis (HENS)
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DOI：
10.1021/ie071245o
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发表时间：
2008-03
影响因子：
4.2
通讯作者：
X. Chen;Zhaohua Li;Jing Yang;Zhijiang Shao;Lingyu Zhu
中科院分区：
文献类型：
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作者：
X. Chen;Zhaohua Li;Jing Yang;Zhijiang Shao;Lingyu Zhu
提出了一种结合禁忌搜索和顺序二次规划的混合整数非线性规划嵌套方法。它涉及嵌套内外循环中的MINLP，其中外循环中的TS涉及整数变量，内循环中的SQP使用外部循环指定的整数来解决非线性规划（NLP）。通过几个数学算例和一个泵系统算例证明了该方法的良好性能，但在换热器网络综合（HENS）方面仍遇到一些问题。进一步分析表明，即使给定了换热器网络的最优结构，也很难求解内环NLP问题。在Yee和Grossmann模型的基础上，提出了一种自适应模型重构方法，以桥接内环和外环。给定外部循环的整数变量，在将其交付给内部循环SQP m之前，它会自动简化NLP模型的维数和复杂度。
A nested method combining tabu search (TS) and sequential quadratic programming (SQP) for the mixed-integer nonlinear programming (MINLP) is proposed. It involves MINLP in a nested inner and outer loop, where TS in the outer loop involves the integer variables, and SQP in the inner loop solves the nonlinear programming (NLP) with integers specified from the outer loop. Good performance has been demonstrated by several mathematic examples and a pump system example, but problems with regard to heat exchanger network synthesis (HENS) are still encountered. Further analysis shows that even given the optimal structure of a heat exchanger network (HEN), it is difficult to solve the inner loop NLP. Based on the Yee and Grossmann model, an adaptive model reformulation method is later proposed, to bridge the inner loop and the outer loop. Given the integer variables by the outer loop, it automatically simplifies the NLP model, in regard to both dimension and complexity, before delivering it to the inner loop SQP m...