In this work, we propose a multi-objective mixed-integer linear programming (MILP) model for evaluation of safe multi-floor process plant layout using the Dow’s Fire & Explosion Index (F&EI). Two objectives are considered, namely the total monetary cost and the financial risk, and solved via the $\epsilon$-constraint method. The total monetary cost consisted of the piping costs, horizontal and vertical pumping costs, land purchase cost, fixed and area-dependent floor construction cost, and the cost of protection devices. The financial risk was evaluated as the maximum probable property damage cost obtained using the F&EI evaluation procedure. The proposed model was applied to an ethylene oxide plant consisting of 7 equipment items with Pareto-optimal solutions showing that the financial risk can be greatly reduced by layout reconfiguration without the need for protection devices and their associated monetary costs. Further increase in the safety levels of the plant can then be achieved through protection device installation at a cost. These, and more information obtained, which are non-existent in previous single objective considerations, are helpful for a more informed decision making process in the planning stages of the design of chemical process plants.

在这项工作中，我们提出了一个多目标混合整数线性规划 (MILP) 模型，用于使用 Dow 的火灾和爆炸指数 (F&EI) 评估安全的多层加工厂布局。考虑两个目标，即总货币成本和财务风险，并通过$\epsilon$- 约束方法。总货币成本包括管道成本、水平和垂直泵送成本、土地购买成本、固定和区域相关的地板建设成本以及保护装置的成本。财务风险被评估为使用 F&EI 评估程序获得的最大可能的财产损失成本。所提出的模型应用于由 7 个设备项目组成的环氧乙烷工厂，其帕累托最优解表明，通过重新配置布局可以大大降低财务风险，而无需保护装置及其相关的货币成本。然后可以通过以一定成本安装保护装置来进一步提高工厂的安全水平。这些，以及获得的更多信息，在以前的单一客观考虑中是不存在的，