Li Hongmei, Wu Ying, Luo Taibo
School of Economics and Management, Northwest University, Xi'an, P. R. China.
School of Economics and Management, Xidian University, Xi'an, P. R. China.
Prehosp Emerg Care. 2025;29(5):568-577. doi: 10.1080/10903127.2024.2393319. Epub 2024 Sep 12.
Early defibrillation with an automated external defibrillator (AED) can effectively improve the survival rate of patients with out-of-hospital cardiac arrest (OHCA). Placing AEDs in public locations can reduce the defibrillation response interval from collapse to defibrillation. Most public AEDs are currently placed in a stationary way (S-AED) with limited coverage area. Bus mounted AED (B-AED) can be delivered directly to the demand point. Although B-AEDs are only available during bus operating hours, they provide greater coverage area. When the number of available AEDs is insufficient, better coverage may be achieved by placing a portion of AEDs as B-AEDs. Our purpose is developing a model to determine the optimal locations of B-AEDs and S-AEDs with a predetermined number of available AEDs. The goal is to maximize the total coverage level of all demand points.
We proposed a joint location model to place B-AEDs and S-AEDs based on the p-median problem (JPMP). Using data from Chang'an District, Xi'an City, China, we determined the optimal AED deployment. The performance of JPMP was compared with several other models. The coverage results of JPMP are analyzed in details, including the quantity assignment, coverage level, and geographical location of B-AEDs and S-AEDs. The impact of the bus departure intervals on coverage was also discussed.
The use of B-AEDs results in an average 98.43% increase in the number of covered demand points, and an average 74.05% increase in total coverage level. In optimal AED deployment, B-AEDs coverage follows an inverted U-shaped curve with increasing number of available AEDs. It begins to decrease when all demand points during the operating hours are covered. With a constant number of available AEDs, the total coverage level increases and then decreases as the bus departure interval increases. The larger the number of available AEDs, the smaller the optimal departure interval.
With a given number of available AEDs, combinational deployment of B-AEDs and S-AEDs significantly improves the coverage level. B-AEDs are recommended when AEDs are insufficient. If more AEDs are available, better coverage can be obtained with reasonable location of S-AEDs and B-AEDs.
使用自动体外除颤器(AED)进行早期除颤可有效提高院外心脏骤停(OHCA)患者的生存率。在公共场所放置AED可缩短从心脏骤停至除颤的响应间隔时间。目前,大多数公共AED以固定方式(S-AED)放置,覆盖范围有限。公交搭载式AED(B-AED)可直接送达需求点。虽然B-AED仅在公交运营时间内可用,但它们提供了更大的覆盖范围。当可用AED数量不足时,将部分AED设置为B-AED可实现更好的覆盖效果。我们的目的是建立一个模型,在可用AED数量预先确定的情况下,确定B-AED和S-AED的最佳放置位置。目标是使所有需求点的总覆盖水平最大化。
我们提出了一种基于p中位数问题(JPMP)的联合选址模型来放置B-AED和S-AED。利用中国西安市长安区的数据,我们确定了AED的最佳部署方案。将JPMP的性能与其他几种模型进行了比较。详细分析了JPMP的覆盖结果,包括B-AED和S-AED的数量分配、覆盖水平和地理位置。还讨论了公交发车间隔对覆盖范围的影响。
使用B-AED可使被覆盖需求点的数量平均增加98.43%,总覆盖水平平均增加74.05%。在最佳AED部署中,随着可用AED数量的增加,B-AED的覆盖范围呈倒U形曲线。当运营时间内的所有需求点都被覆盖时,覆盖范围开始下降。在可用AED数量不变的情况下,随着公交发车间隔的增加,总覆盖水平先增加后下降。可用AED数量越多,最佳发车间隔越小。
在给定数量的可用AED情况下,B-AED和S-AED的组合部署可显著提高覆盖水平。当AED数量不足时,推荐使用B-AED。如果有更多可用AED,通过合理设置S-AED和B-AED的位置可获得更好的覆盖效果。