Operational research is a discipline that deals with development and implementation of methods that find optimal solutions on the basis of mathematical modeling, statistic modeling and heuristic approaches in various different fields of activity. Among the classical problems of operational research – "traffic problem", "traveling salesman problem”, scheduling task, etc.
A characteristic feature of operations research is a comprehensive approach towards the problem and its analysis. A systemic approach is the main methodological principle of operations research: any task should be considered in terms of impact on the criteria of the system as a whole. An important feature of operations research is a pursuit to find the optimal solution of the problem. However, the limited existing resources and lack of methods for finding the optimal solution compel to compromise between the effectiveness of solutions and expenses for their search. Operational research provides tools for searching such compromise.
Operational research is closely linked with the science of management (Management Science), system analysis, mathematical programming, game theory, theory of optimal solutions, heuristic methods and artificial intelligence methods, such as the satisfaction theory of constraints and neural networks.
Operational research is mainly used by large foreign companies for solving production planning problems (controlling, logistics, marketing and other complex tasks). Application of operations research in economics will reduce costs and even improving of the performance of the company (sometimes several times). Operations research using military and governments of many developed countries for solving complex problems of armies supplying, development of new weapons, the development of international trade mechanisms, prediction of the state, etc.
The course of modern operational research and its mathematical methods gives the opportunity for students to learn basic concepts of this discipline, an overview of basic mathematical methods and techniques that are used in it. The lecturers will present the effectiveness of the reviewed mathematical methods for operational researches with the examples of its implementation for control and improving quality of production, predicting of credit risk and financial processes, modeling of a human’s genes interaction and so on.
Materials:
01-Kiev Summerschool 2010 --- Contents --- Willi.pdf
02-Pofo 29.4.2009.pdf
03-Application of Monte Carlo Methods in Finance.pdf
04-Kiev 2010 - Ellipsoidal Coll. Games - Willi, Rodica, Zeynep.pdf
05-Kiev 2010 - Comp. Bio. - Willi, Ozlem, Armin.pdf
06-Kiev --- SDEs and Bubbles - Willi.pdf
07-Kiev 2010 - Education - Willi, Chandra et al..pdf
08-Kiev 2010 --- Finance - Credit Default - Willi.pdf
09-Kiev 2010 --- Finance - SDE - Willi.pdf
10-Kiev 2010 - Energy - Willi et al..pdf
11-Kiev 2010 --- RCMARS with Different Uncertainty under Polyhedral Uncertainty Set.pdf
12-Kiev 2010 --- GLM with CMARS - Willi et al..pdf
13-IFORS Prize 2011.pdf
14-EUROPT 10 years ---Kiev --- Willi.pdf
15-Stochastic Calculus - Main Results - S. Jaimungal.pdf
Language of the course — English.
Tutor of the course:
Prof. G. W. Weber, METU, Turkey