Title:  Applying Optimization in the research projects at Sumy State University

In the talk we will present three optimization research problems at Sumy University that we currently work on. The first involves scheduling, the second finding an optimal route, and the third deals with optimal heat distribution in a pipeline system.

The first problem concerns regulating streams of people by creating a system of navigation and scheduling. To solve this problem, we present a systematic analysis based on a graph-theoretical model. Given the inherent uncertainty in the input data, we consider a possibility of using expert systems. The second problem is centered around creation and maintenance of an information system for finding an optimal route. Our implementation combines two methods: weighted coefficients and the Dijkstra algorithm. The third problem of efficient use of energy resources is very critical and finding a solution is urgent. This project focuses on improvements of mathematical models that allow determining most accurately the resources needed for the system.

This is a joint work with Dr. I. Baranova, Dr. V. Nenya, D. Shifrin, K. Radivilov, O. Tverezovska, V. Saev, D. Opara, Yu. Parfenenko.