高层建筑救火模型的研究

Study on the Model of Fire Fighting in High-rise Building

在分析我国目前高层建筑救火费用(救火消防车数和消防队员数)的基础上,提出运用优化数学的思路,建立高层建筑救火模型。首先,确定高层建筑救火费用的目标函数、约束条件、策略,将目标函数写成约束条件和策略的函数;然后,根据高层建筑火灾的特点,提出建立模型的8个假设条件,从而建立一个高层建筑救火数学模型,运用高等数学微积分的有关知识对数学模型进行求解与分析,从而达到高层建筑救火费用最低的目的。最后,以实例论证了该数学模型在高层建筑救火中的应用效果,同时为高层建筑救火提供理论上、方法上的指导。

Based on the analysis of fire fighting expenses in high-rise building, the idea to construct fire fighting model for high-rise building by optimizing mathematics is proposed. The first step is to define the objective function, constraint condition and strategies of fire fighting expenses of high-rise building, and make the objective function be the function of constraint condition and strategy. Secondly, according to the characteristics of fire accidents in high-rise building, eight assumed conditions for the model are presented, and thus a mathematical model for fire fighting in high-rise building is built. Then, through solving this model with some related knowledge of infinitesimal calculus in higher mathematics, the lowest expenses for fire fighting in high-rise building can be obtained. Finally, an illustration is made, which shows that this model is of practicability and referring value.