The Library Systems have been developed so that the users can borrow or return books to any preferable libraries. For effective planning of libraries, we have to examine the effectiveness of Library Systems. In this paper, we construct a model for describing the library choice behavior of users, and propose a method for evaluating the effects of Library Systems. Furthermore, the proposed model is applied to the actual data of Yokohama City Libraries. The results of numerical analysis show that the travel cost from home to libraries can be reduced by the Library Systems, and its effect is equivalent to about 8 percent increment of users in average.