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Optimal multi-floor plant layout based on the mathematical programming andparticle swarm optimization

机译：基于数学规划和优化的多层厂房布局粒子群优化

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摘要

In the fields of researches associated with plant layout optimization, the main goal is to minimize the costs of pipelines and pumping between connecting equipment under various constraints. However, what is the lacking of considerations in previous researches is to transform various heuristics or safety regulations into mathematical equations. For example, proper safety distances between equipments have to be complied for preventing dangerous accidents on a complex plant. Moreover, most researches have handled single-floor plant. However, many multi-floor plants have been constructed for the last decade. Therefore, the proper algorithm handling various regulations and multi-floor plant should be developed. In this study, the Mixed Integer Non-Linear Programming (MINLP) problem including safety distances, maintenance spaces, etc. is suggested based on mathematical equations. The objective function is a summation of pipeline and pumping costs. Also, various safety and maintenance issues are transformed into inequality or equality constraints. However, it is really hard to solve this problem due to complex nonlinear constraints. Thus, it is impossible to use conventional MINLP solvers using derivatives of equations. In this study, the Particle Swarm Optimization (PSO) technique is employed. The ethylene oxide plant is illustrated to verify the efficacy of this study.
机译：在与工厂布局优化相关的研究领域，主要目标是在各种约束下将管道和连接设备之间的管道和泵送成本降至最低。然而，在先前的研究中缺乏考虑的是将各种启发式或安全性规则转换为数学方程式。例如，为了防止在复杂工厂发生危险事故，必须遵守设备之间的适当安全距离。而且，大多数研究都涉及单层植物。但是，在过去的十年中，已经建造了许多多层工厂。因此，应该开发处理各种规定和多层工厂的适当算法。在这项研究中，基于数学方程，提出了包括安全距离，维护空间等在内的混合整数非线性规划（MINLP）问题。目标函数是管道和泵送成本的总和。而且，各种安全和维护问题都转化为不平等或平等约束。但是，由于复杂的非线性约束，实际上很难解决这个问题。因此，不可能使用使用方程导数的常规MINLP求解器。在这项研究中，采用了粒子群优化（PSO）技术。说明了环氧乙烷工厂以验证这项研究的有效性。

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