Decomposition Approaches to Batch Plant Design and Planning

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• 作者：Sriram Subrahmanyam ; Joseph F. Pekny ; and Gintaras V. Reklaitis
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：1996
• 出版时间：June 1996
• 年：1996
• 卷：35
• 期：6
• 页码：1866 - 1876
• 全文大小：302K
• 年卷期：v.35,no.6(June 1996)
• ISSN：1520-5045

文摘

Design of batch facilities through a mathematical programmingapproach lead to large problemsize. A heuristic approach which was proposed in an earlier paper(Subrahmanyam et al. Ind.Eng. Chem. Res. 1994b,33, 2688) used decomposition techniques to solve anaggregate problemand a series of scheduling problems. Each of these problemscorresponds to a mixed integerlinear program. In this work, we derive a theoretical relationshipbetween the aggregate problemand the detailed design formulation. A hierarchy of aggregateproblems is derived, based onwhich an algorithm is developed to obtain optimal solutions to theoverall design problem. Anumber of industrially derived cases are solved to illustrate andvalidate the algorithm.