

The main objective is to develop, to test and to apply a
system for
graduate studies and research cooperation in the Internet environment.
The system involves the theory, a set of examples and the software for
the
Internet environment.
The scientific topic is modeling and optimization of economic, social
and
engineering systems.
Theoretical background is the Theory of Games and Markets .
The optimization methods implement the Bayesian Heuristic Approach to
Global
and Discrete Optimization that is based on the Statistical Decision
Theory.
1. New Theoretical Results:
The Bayesian Approach is well known and used in the theory of
statistical
decisions and statistics.
Heuristic methods is an important part in knowledge based systems and
artificial
intelligence. They are widely used while solving reallife problems of
global
and discrete optimization.
The new Bayesian Heuristic methods "BHA"
optimize parameters of the wellknown heuristics and help to develop
new
heuristics.
1. New Applications:
The Bayesian Heuristic Approach is used searching for equilibrium in a
number
of models of games and markets. These include:
Two types of competitive models;
models of "static" competition
"WALRAS"
and
a model of dynamic competition
"ECODUEL"
,
Optimal investment models, including
the portfolio model
"PORTFOLIO"
.
An stockexchange model is "
STOCKGAME"' Parameter
optimization
of an AutoRegressive model minimizing absolute deviations is
in
"
ARABS"
.
Important application area of the Bayesian Heuristic Approach is the
optimal
scheduling.
An example is the profiled school scheduling
"SCHOOL" click "Vidunas".
The bimatrix games problem is illustrated by the example
of
"Irrelevant
Fraud" (IF) method "RANGER"
.
Huge practical potential of Statistical Decisions Theory shows a set of
"Brides" problems
"BRIDE"
. These include various applications. For example:
"FLAT" click "BuyaFlat".
An optimal diet problem is to illustrate applications of
multiobjective
optimization and linear programming "
DIET"
.
1. Application in graduate studies: The objective is to narrow the gap between the theory and applications. The lecture notes are in Lithuanin as a set of slides " SLIDES" The framework for global optimization methods and 'online' models "GMJ"
2. Application in direct distance studies:
The objective is to
make the lectures available "online" for students of various
Lithuanian
and foreign universities.
The lectures are broadcasting by videoconferencing at fixed times:
on Friday, 8:009:30 AM.
An example is the opening lecture
"INTRO" .
All the students taking part in the videoconferencing can see and hear
the same stuff. They can ask questions, too, and all connected see and
hear these questions and professor's answers.
3.Application to individual studies: The objective is to present equal opportunities for those that cannot attend the classrooms. That is achieved by personal Internet connection to the central videoconferencing class "VIDEO" .
4. Application to home work: The objective
is to present a choice
to make the home work interesting .
There are some suggestions
"HOME"
however, the final decisions are made by students
The outline of general theoretical results is in a set of slides "SLIDES" . The slides are accompanied by bookmarks explaining the content.
The basic set of examples, including theoretical background
and software
description, is given as a book in 'pdf' file
"MODELS"
.
However, the main set of examples is dynamic and is presented in
websites "EXAMPLES"
.
Complete description of the Bayesian Heuristic Approach and
related
methods of global and discrete optimization is in two books "
BOOK" and "MODELS"
. .
The general references are:
 Optimization Methods
"OM"
 Theory of Games and Markets "OR"
 Mathematical
Programming (textbook in Lithuanian):
MatematinisPr
Matematinis
Programavimas (pdf)