Interactive course Mat. prog. and Operations Research

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Uploaded: 14.08.2010
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Description

The interactive course includes 6 video lectures:

Video lectures 1
• Introduction
• Mathematical modeling
• Types of mathematical programming problems
• Graphical method for solving linear programming problems
Duration - 17 minutes

Video lectures 2
• solving linear programming problems with the number of more than two variables
• Simplex method
• Convert to basic linear programming problem
• Filling the simplex table
• Iterations
Duration - 25 minutes

Video lectures 3
• The solution of problems of nonlinear programming in the inequality of the form>
• Artificial balance
• Dual linear programming problem
• Symmetric and asymmetric problems
Duration - 28.5 minutes

Video lectures 4
• The transportation problem of linear programming
• Method northwest corner
• The method of potentials
• Problems with balance of right and wrong
Duration - 29 minutes

Video lectures 5
• Nonlinear Programming
• Graphical method for solving a small number of variables
• Exact methods. The method of Lagrange multipliers
Duration - 21 minutes

Video lectures 6
• Numerical methods for solving nonlinear programming problems
• gradient method with variable pitch
• Method nayskoreyshego descent
• The method of coordinate descent
Duration - 34 minutes

Video lectures 7
• subject, features and application of operations research in economics
• Classes of operational tasks
• Familiarity with the program Maxima
• Investigation of the optimal allocation of financial and economic resources by means of the program Maxima
Duration - 18.5 minutes

Video lectures 8
• Overcoming the problem of inconsistency in the allocation of resources
• Parametric analysis
• Solution of the problem of multiple objective functions
• The decision on the request
Duration - 18.5 minutes

Video lectures 9
• The steps of the method of dynamic programming
• An example of the problem of the distribution of investments
Duration - 25.5 minutes

Video lectures 10
• Elements of the theory of games
• Pure and mixed strategies
• Solving problems of game theory using the methods of linear programming
Duration - 32 minutes

Video lectures 11
• Mathematical problems of operations research, which is based on nonlinear programming
• The optimal portfolio Markowitz
• Example of an optimum securities portfolio model of Markowitz in pogramma Maxima
Duration - 26.8 minutes

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