Research of global optimal location problems for the hub-and-spoke system

我们已经开发了数学模型的航空公司轴辐系统的球体。1999年，我们做了一个原始模型，并设计了一个算法。在2000年，我们也做了一个连续模型，并分析了它的数学性质。利用这些性质，我们开发了一个算法来求解模型。2001年，我们利用2000年开发的模型，用真实的数据进行了调查。作为副产品，我们还研究了包装问题，使用Delauney三角剖分的优化方法，和救护车的位置问题。在2002年，我们继续沿着我们在2001年采取的方向进行研究。我们正在准备包括这些结果的文件。

We have developed mathematical models of the airline hub-and-spoke system on the sphere. In 1999, we made a primitive model and devised an algorithm. In 2000, we also made a continuous model and analyzed its mathematical properties . Using the properties, we developed an algorithm to solve the model. In 2001, using the model developed in 2000, we investigated with real data. As a byproduct, we also investigated a packing problem, an optimization method using Delauney triangulation, and location problems of ambulances. In 2002, we continued the research along with the direction we adopted in 2001. We are preparing the papers including these results.