Environment-friendly electric vehicles have gained popularity and increased attention in recent years. Electric vehicles must be accompanied by a charging station that can charge electricity. In other word, the deployment of a network of recharging stations is essential due to their limited travel range. This paper considers the problem of locating battery swapping stations among bus stops for electric vehicles on a traffic network with flow-based demand, based on the location routing problem. From these three different mathematical models and compare their performance with real-world data of Seoul metropolitan area in South Korea. The contribution of our study is to suggest several mathematical programming models on locating charging machine problem, which is kind of location routing problem. Through solving a problem in several ways, we can compare the advantages and disadvantages of each model in this problem. In practical aspects, we have studied and proposed solutions about one of the worries, that can arise in preparation for the introduction of electric buses in the near future.