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COMPARISON OF A GENERALIZED PATTERN SEARCH AND A GENETIC ALGORITHM OPTIMIZATION METHOD

机译:广义模式搜索的比较和遗传算法优化方法

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Building and HVAC system design can signifi- cantly improve if numerical optimization is used. However, if a cost function that is smooth in the design parameter is evaluated by a building energy simulation program, it usually becomes replaced with a numerical approximation that is discontinuous in the design parameter. Moreover, many building simulation programs do not allow obtaining an error bound for the numerical approximations to the cost function. Thus, if a cost function is evaluated by such a program, optimization algorithms that depend on smoothness of the cost function can fail far from a minimum. For such problems it is unclear how the Hooke- Jeeves Generalized Pattern Search optimization algorithm and the simple Genetic Algorithm perform. The Hooke-Jeeves algorithm depends on smoothness of the cost function, whereas the simple Genetic Algorithm may not even converge if the cost function is smooth. Therefore, we are interested in how these algorithms perform if used in conjunction with a cost function evaluated by a building energy simulation program. In this paper we show what can be expected from the two algorithms and compare their performance in minimizing the annual primary energy consumption of an office building in three locations. The problem has 13 design parameters and the cost function has large discontinuities. The optimization algorithms reduce the energy consumption by 7% to 32%, depending on the building location. Given the short labor time to set up the optimization problems, such reductions can yield considerable economic gains.
机译:如果使用数值优化,建筑和HVAC系统设计可以显着提高。但是,如果通过建筑能量仿真程序评估设计参数中平滑的成本函数,则它通常被替换为在设计参数中不连续的数值近似。此外,许多建筑模拟程序不允许从成本函数获取绑定的错误。因此,如果通过这样的程序评估成本函数,则依赖于成本函数的平滑度的优化算法可以失效,远离最小值。对于此类问题,目前还不清楚HoOKe-Jeeves通用模式搜索优化算法和简单的遗传算法如何执行。 Hooke-Jeeves算法取决于成本函数的平滑度,而简单的遗传算法如果成本函数平滑,则简单的遗传算法甚至不会收敛。因此,我们对这些算法如何执行,该算法与由建筑能量仿真程序评估的成本函数结合使用。在本文中,我们展示了两种算法可以预期的内容,并比较它们在最小化三个地点的办公大楼的年初初级能源消耗方面的性能。问题有13个设计参数,并且成本函数具有大型不连续性。优化算法根据建筑位置,优化算法将能量消耗降低7%至32%。鉴于少劳动力时间来建立优化问题,这种减少可以产生相当大的经济收益。

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