MODELING AND HANDLING UNCERTAIN UTILITY IN PUBLIC SERVICE SYSTEM DESIGN

The paper deals with the public service system design, in which the system optimal solution is searched for. The system utility function is represented by the sum of users' utilities, where an individual user's utility depends on the distance between the user and the nearest located service center. The user's utility is represented by a decreasing real function, which depends not only on the distance, but even on a parameter, value of which is not known exactly. To solve the public service design problem under the uncertainty, we use the theory of fuzzy sets and present the integer programming approach to the service system design.