Mathematical Tools for Researching the Market of Tourist Services

The article discusses mathematical tools for researching the market of tourist services. It is proposed to use approaches of economic and mathematical modeling, based on optimization methods and fuzzy logic, to solve urgent problems of the functioning of tourist operators and agencies. The formulation of tasks related to the choice of effective tourist routes on the basis of optimization of tour loading with minimization of costs / profit maximization and taking into account resource limitations are presented. The Markowitz model is given, adapted to the optimization of the investment portfolio of a travel company. A model for evaluating investment alternatives of a travel company for a strategic perspective using fuzzy logic methods is presented. The possibilities of using models in decision-making processes are illustrated by fragments of calculations made based on the materials of the travel company Eurotrips. The results of the work can be used in building decision support systems (DSS) in the tourism industry.