Operations research is the theory and methodology of scientific approaches used for examining and solving problems arising in the analysis and development of the structure of complex systems, as well as in course of the organization and management of above systems. It is an interdisciplinary field where the frontiers of different branches of science are connected, mainly via mathematical models, to different theories and methodologies of mathematics, algorithms for problem solving, and to computer science. Operations research is applied science. One of its typical applications, in different fields of real life, comprises supporting the process of managerial decision making, and improving the operation of organizational systems. The management and decision problems arising in various relations are approached by modelling, analyzing and optimizing them.
Main research areas
In operations research our main fields of research are global, smooth, linear and quadratic optimization, while in decision systems multiattribute group decision making problems are in the focus of our research.
The “Optimal Power Flow” (OPF) problems aim to minimize the operational costs of a static power system on which different types of generators and consumers are connected together through a network, satisfying the rules of electricity and fulfilling the functional specifications. The number of nodes in large-scale real power networks may reach hundred thousand. In a project for Siemens Corporate Research, our goal was to develop an efficient solver engine to solve the continuous relaxations of the nonlinear discrete OPF models. We implemented an interior point method which applies algebraical reductions and exploits the special structure of these problems.
For GraphIT Ltd., we developed an ActiveX DLL for searching the shortest path in road-networks, taking the weight and size limitations into consideration. It is callable from Visual Basic and Active Server Pages programs.
For Prímagáz Hungária Inc., we performed modelling and computing to elaborate some variants of the optimal production and transportation plans.
Our group participated in building the models of multi-attribute decision problems is tram and trolley bus tenders of Szeged and the establishment of a new intermodal center in Kecskemét. Our tasks were to coordinate the process of weighting the criteria, to construct rating rules and to provide sensitivity analysis of the results.
• WINGDSS - Group Decision Support Software
• QOPT - Quadratic Optimization Library
In the field of operations research and decision systems, in course of several projects, we did the work of modelling, implementation and computing.
Further information on the research group:
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