A nonlinear programming algorithm for location problem on forest fire emergency system

Bai Tianyang
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Abstract

In order to obtain the best location of forest fire emergency system, the function between damage cost and reaction time of the fire station is firstly made. Then to make the expectation of the fire damage least, a multi-spot locating mathematic model based on the relationship function is built. Finally, as the matrix equations in the model are 2 orders, a nonlinear programming algorithm, which is developed from the Lagrange method, is introduced to solve the problem.
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森林火灾应急系统定位问题的非线性规划算法
为了得到森林火灾应急系统的最佳位置,首先建立了消防站损失成本与反应时间的函数关系。然后,为了使火灾损失期望值最小,建立了基于关系函数的多点定位数学模型。最后,由于模型中的矩阵方程为2阶,引入了一种由拉格朗日方法发展而来的非线性规划算法来求解。
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