混合人工神经网络耦合NTOPSIS方法:解决工程问题的智能多目标框架

Asmi Choudhary, Avaneesh Kumar, R. Jain, Syed Abou Iltaf Hussain
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摘要

优化是解决各种领域定量问题的一组数学策略。各个行业都在不懈地努力优化多个目标,而这些目标往往在本质上是相互冲突的。因此,研究人员将重点转向多目标优化算法,该算法计算一组在搜索空间中占主导地位的非支配解(NDS)。非支配排序遗传算法II (non - dominant Sorting Genetic Algorithm II, NSGA-II)就是其中的一种多目标优化算法,但应用于岩石数据集时无法计算出准确的结果。为了克服这些困难,我们将人工神经网络(ANN)和TOPSIS集成到NSGA-II中。ANN算法创建目标函数,TOPSIS算法在NDS之间进行权衡,以便更好地进行探索。为了验证该方法的适用性,将其应用于6061-T6铝合金高速刀具车削加工参数的计算,优化了加工时间、材料去除率(MRR)和表面粗糙度(SR)。为了验证该方法,在优化参数和传统NSGA-II方法得到的参数下进行了两次实验。计算出模拟值与第一次实验值的相对误差(RAE),加工时间为1.87%,MRR为4.2%,SR为4.3%;模拟值与第二次实验值的相对误差(RAE),加工时间为14.8%,MRR为12%,SR为11.2%,RAE值很小,在可接受的范围内。我们提出的算法的优势在于它的实用性和为工业问题提供准确解决方案的能力,因此我们的模型适合工业应用。
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A Hybrid ANN coupled NTOPSIS Approach: An Intelligent Multi-Objective Framework for solving Engineering Problems
Optimization is a group of mathematical strategies for resolving quantitative issues in a variety of fields. The industries are relentlessly working to optimize more than one objective which are often conflicting in nature. Hence researchers are shifting their focus towards the multi-objective optimization algorithm which computes a set of Non-dominated solutions (NDS) which predominates other solutions in the search space. Non-dominated Sorting Genetic Algorithm II (NSGA-II) is one such multi-objective optimization algorithm but it fails to compute an accurate result when applied to rocky datasets. In order to overcome the difficulties, we have integrated the Artificial Neural Network (ANN) and TOPSIS with NSGA-II. The ANN algorithm creates the objective functions and the TOPSIS algorithm creates a trade-off between the NDS for better exploration. For testing the applicability of our approach we have applied it for computing the machining parameters for turning Aluminum alloy 6061-T6 using a high speed steel tool so that the objective performances namely machining time, material removal rate (MRR) and surface roughness (SR) are optimized. For validating the approach two experiments are conducted at the optimized parameters and the parameters obtained by the traditional NSGA-II approach. The computed the relative error (RAE) between the simulated and the first experimental values which is 1.87% for machining time, 4.2% for MRR and 4.3% for SR and the simulated and the second experimental values which is 14.8% for machining time, 12% for MRR and 11.2% for SR. The RAE value is very less and within the acceptable limit for the result computed by the proposed approach. The strength of our proposed algorithm is its practical applicability and ability to provide an accurate solution to an industry problem and hence our model is suitable for industrial applications.
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