One of the most important problems in the economy, the educational process and other areas is the task of rational allocation of limited resources. The relevance of solving this problem is determined by the increase in the cost of resources and an increase in their contribution to the final product. There are tasks in the educational process that require the allocation of resources for their implementation. Such tasks are, for example, study assignments, projects, and jobs. The resources can be hours of training sessions, the number of events, and information support.The purpose of the article is to develop a method for optimal allocation of resources in the educational process under conditions of uncertainty. To achieve the goal, a weighted sum of the probabilities of completing all the tasks of this work is selected as an efficiency indicator; restrictions are set based on available resources.A new analytical method for solving the problem of resource allocation has been developed. The method is based on the use of indeterminate Lagrange multipliers. A study and justification of the necessary and sufficient conditions for the existence of the extremum of the objective function is carried out. To account for the fuzziness of the information, the initial data of the problem is given in the form of fuzzy triangular numbers. The developed method identifies three optimization problems of nonlinear programming for the best, average and worst conditions. The solution of the problem for the distribution of homogeneous and heterogeneous resources is considered.The result of the research is a developed new way of distributing homogeneous and heterogeneous resources under conditions of uncertainty. The method proposed in the article can be used not only in the educational process, but also in other fields, for example, in economics, agriculture.

tasks, resources, means, measures, weighted sum of probabilities, optimal solution, fuzzy triangular numbers.