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An improved flexible tolerance method for solving nonlinear constrained optimization problems:Application in mass integration

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Chinese Journal of Chemical Engineering 2017年第5期25卷 617-631页

作者： Alice Medeiros Lima Wu Hong Kwong Antonio José Goncalves Cruz Chemical Engineering Graduate Program Federal University of Sao Carlos Department of Chemical Engineering Department of Chemical Engineering Federal University of Sao Carlos

This paper proposes the use of the flexible tolerance method(FTM) modified with adaptive Nelder–Mead parameters and barrier to solve constrained optimization problems. The problems used to analyze the performance of the methods were taken from G-Suite functions, and the methods with the best performance were applied in mass integration problems. Four methods were proposed:(1) flexible tolerance method(FTM) using adaptive parameters(FTMA),(2) flexible tolerance method with scaling(FTMS) and with adaptive parameters(FTMAS),(3) FTMS including the barrier modification(MFTMS) and(4) MFTMS hybridized with PSO(MFTMS-PSO). The success rates of these methods were 100%(MFTMS), 85%(MFTMS-PSO), 40%(FTMAS) and 30%(FTMA).Numerical experiments indicated that the MFTMS could efficiently and reliably improve the accuracy of global optima. In mass integration, the method was able, from current process situation, to reach the optimum process configuration that includes integration issues, which was not possible using FTM in its standard formulation. The hybridization of FTMS with PSO(without barrier), FTMS-PSO, was also able to solve mass integration problems efficiently.

关键词： Flexible tolerance method Adaptive parameters Scaling Constrained optimization Barrier PSO mass integration

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Synthesis and Scheduling of Optimal Batch Water-recycle Networks

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Chinese Journal of Chemical Engineering 2008年第3期16卷 474-479页

作者： Arwa H. Rabie Mahmoud M. El-Halwagi Department of Chemical Engineering Texas A＆M university College Station TX 77845 USA

This work develops an optimization-based methodology for the design and scheduling of batch water recycle networks. This task requires the identification of network configuration, fresh-water usage, recycle assignments from sources to sinks, wastewater discharge, and a scheduling scheme. A new source-tank-sink representation is developed to allow for storage and dispatch tanks. The problem is solved in stages by first eliminating scheduling constraints and determining minimum usage of fresh water and wastewater discharge. An iterative procedure is formulated to minimize the total annual cost of the system by trading off capital versus operating costs. The work overcomes limitations in previous literature work including restricted recycle within the same cycle, lumped balances that may not lead to feasible solutions, and unrealistic objective functions. A case study is solved to illustrate the usefulness of the devised procedure.

关键词： process integration process synthesis mass integration batch networks water recycle scheduling

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