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Order-of-addition experiments: A review and some new thoughts
Published in Quality Engineering, 2019
Dennis K. J. Lin, Jiayu Peng
Note that the problem of finding optimal order appears similar to the traditional “sorting” problem: given an array of m numbers, how to arrange it in an ascending order? As a simple sorting algorithm, “bubblesort” compares a pair of adjacent items at each step and swaps them if they are in the wrong order. The comparison of adjacent items starts from the bottom of list, so that the largest item will move up to the top of array, like a bubble rising to the surface. After the comparison of adjacent items reaches the top of array, the largest element in this array is then determined. We next restart the comparison of adjacent items from the beginning, and the next bubble which rises up to the top is the second largest element, and so on; finally, the correct order is obtained.