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Testing shock absorbers: Towards a faster parallelizable algorithm

机译:测试减震器:寻求更快的并行化算法

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Cars are equipped with shock absorbers, which are designed to smooth out the shocks on the road. In practice, there is a need to test them. To test the shock absorbers, we need to estimate the values of the shock absorber's parameters. If we did not have any measurement errors, then two measurements would be sufficient to determine the parameters. However, in reality, there are measurement errors. Usually, in engineering practice, it is assumed that the errors are normally distributed with 0 mean, so we can use least squares method to test it. In practice, we often only know the upper bound on the measurement errors, so we have interval uncertainty. In principle, the problem of determining the parameters of the shock absorber under interval uncertainty can be solved by reducing it to several linear programming problems. However, linear programming problems take a reasonably long time O(n3.5). A natural way to speed up computations is to parallelize the algorithm. However, it is known that linear programming is provably the most difficult problem to parallelize. So instead, we propose a new algorithm for finding ranges for shock absorber's parameters, an algorithm which is not only faster but also easy-to-parallelize.
机译:汽车配备了减震器,该减震器旨在消除道路上的震动。在实践中,需要对其进行测试。要测试减震器,我们需要估计减震器的参数值。如果我们没有任何测量误差,那么两次测量就足以确定参数。但是,实际上存在测量误差。通常,在工程实践中,假设误差均值为0均值正态分布,因此我们可以使用最小二乘法对其进行测试。实际上,我们通常只知道测量误差的上限,因此我们存在区间不确定性。原则上,可以通过将其减为几个线性规划问题来解决在区间不确定性下确定减震器参数的问题。但是,线性规划问题需要相当长的时间O(n 3.5 )。加快计算速度的自然方法是并行化算法。但是,众所周知,线性编程是最难并行化的问题。因此,我们提出了一种新的算法来查找减震器参数的范围,该算法不仅速度更快,而且易于并行化。

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