Department of Civil Engineering, Faculty of Engineering and Natural Sciences, Antalya Bilim University, Antalya, Turkey.
PLoS One. 2022 Jun 14;17(6):e0269808. doi: 10.1371/journal.pone.0269808. eCollection 2022.
Searching for an optimum transportation facility location with emergency equipment and staff is essential for a specific region or a country. In this direction, this study addresses the following problems. First, the performances of the Weiszfeld, tree-seed, and whale optimization algorithms are compared, which is the first of its kind in the literature. Second, a new approach that tests the importance parameters' effectiveness in searching for an optimum transportation facility location with emergency equipment and staff is proposed. The Weiszfeld algorithm finds viable solutions with compact data, but it may not handle big data. In contrast, the flexibility of the tree-seed and whale optimization algorithm is literally an advantage when the number of parameters and variables increases. Therefore, there is a notable need to directly compare those algorithms' performances. If we do, the significance of extending the number of parameters with multiple weightings is appraised. According to the results, the Weiszfeld algorithm can be an almost flexible technique in continuous networks; however, it has reasonable drawbacks with discrete networks, while the tree-seed and whale optimization algorithms fit such conditions. On the other hand, these three methods do not show a fluctuating performance compared to one another based on the locating transportation facilities, and thus they deliver similar performance. Besides, although the value of accuracy is high with the application of the conventional technique Weiszfeld algorithm, it does not provide a significant performance accuracy advantage over the meta-heuristic methods.
寻找具有应急设备和人员的最佳交通设施位置对于特定地区或国家至关重要。在这个方向上，本研究解决了以下问题。首先，比较了 Weiszfeld、树种子和鲸鱼优化算法的性能，这在文献中尚属首次。其次，提出了一种新的方法，用于测试重要参数在搜索具有应急设备和人员的最佳交通设施位置时的有效性。Weiszfeld 算法可以用紧凑的数据找到可行的解决方案，但它可能无法处理大数据。相比之下，当参数和变量的数量增加时，树种子和鲸鱼优化算法的灵活性确实是一个优势。因此，直接比较这些算法的性能是很有必要的。如果我们这样做，可以评估扩展具有多个权重的参数数量的意义。根据结果，Weiszfeld 算法在连续网络中几乎可以是一种灵活的技术；然而，它在离散网络中有合理的缺点，而树种子和鲸鱼优化算法则适合这种情况。另一方面，这三种方法在定位交通设施方面彼此之间没有波动性能，因此它们提供相似的性能。此外，尽管传统技术 Weiszfeld 算法的应用具有较高的准确性值，但它并没有在元启发式方法上提供显著的性能准确性优势。
