Kuang-Yih Yeh

Competitive Facility Location Problem with Demands Depending on the Facilities

In this paper, we deal with competitive facility location problems in which the demand of each customer depends on the facilities. In our models two competitive companies intend to locate their facilities on the market in order to maximize the total demand acquired from the market. The distances between the facilities and the demand points are measured by rectangular distance. At first we consider the linear model and derive the optimal policy for locating the facilities. We then extend the model to planar case and also derive the optimal policy.

On optimal location for three competitive facilities

The competitive facility location problems are investigated on many papers. In most of their papers the competitive location model with two competitors are investigated. In this paper three companies which are mutually competitive intend to locate their facilities on linear market. It is well-known that Nash equilibrium solution for location problem does not exist for three competitive facilities. In our model we assume that the demands are continuously distributed on the linear market and their facilities are locating according to specific order of sequence, A, B and C. In this paper we consider Stackelberg equilibrium solution for competitive location problems with three facilities. In our model we consider the decision problems of three stages. In the first stage problem we decide the location of the facility A which is optimally located for the remaining two facilities B and C. And in the second stage problem we decide the location of the facility B which is optimally located for C by utilizing the information on the location of facility A. Finally in the third stage problem we decide the location of the facility C which is optimally located by utilizing the information on the location of the facilities A and B.

Estimation of geographical advantage for network both within and beyond the region

In this paper we think the land price reflects to the geographical advantage. In order to analysis of accessibility, the spatial interaction model is known as a general model because it has been developed by entropy maximization principle for a long history. From observed data about traffic flow, our model can estimate traffic volume among inside and outside of target area by using observed traffic flow data. It can be regarded as a merged concept between the geographical advantage and accessibility of the spatial interaction model in unified way. The parameter estimation procedure for the proposed model is developed.

On shortest paths in free spaces including obstacles with fuzzy boundaries

In this paper we introduce definitions of norms and gauges in linear spaces in order to find shortest paths in free spaces with obstacles. Secondly, Euler-Lagrange equations in the calculus of variation give the optimal solutions for the problems of shortest paths. Thirdly we consider a linear structure in a sets of fuzzy numbers and also introduce norms in fuzzy linear spaces. Finally we discuss shortest paths in free spaces including obstacles, with fuzzy boundaries. It is useful in finding shortest paths in realistic environment with natural damage, for example, earthquakes etc.