Optimal Gas Detector Placement Using Integer Linear Programming Combined To Dimensional Analysis For A Minimal Number Of Cfd Simulations

This research proposes an approach to optimize the location and number of gas detectors using Integer Linear Programming (ILP) with Set Covering Problem (SCP) based on a probabilistic mathematical analysis of explosions to calculate the volume of the gas cloud through Computational Fluid Dynamics (CFD), thus minimizing the number of simulations required for optimization. The optimization model integrates 2-of-N voting logic as a constraint, ensuring the detection of the gas cloud when there are sensor failures. The results of this model present 100% area coverage, where each gas cloud is detected by two sensors, thereby mitigating the risk of industrial accidents.