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Advanced methods of mathematical programming

Course Code:
17PMM
Academic Degree:
doctoral
Study Programme:
Logistics and Transport Processes Control (P1041D040008)
language
czech, english flag
Form of Study:
full-time and part-time
Type of Course:
optional
Course Completion:
exam
Supervisor:
doc. Ing. Dušan TEICHMANN, Ph.D.
v DB je chyba..
Supervising Department:
Department of Logistics and Management of Transport (16117)
Abstract:
• Linear programming methods for solving optimization problems with one criterion (simplex method, branch and bound method, Gomory algorithms, column generation method, Benders decomposition method, sensitivity analysis) • Linear programming methods for solving optimization problems with multiple criteria (scalarization method, sequential optimization according to criteria preference, STEM, criteria aggregation method) • Nonlinear programming methods for solving optimization problems with one criterion without relations (gradient methods, Davidon-Fletcher-Powell method) • Nonlinear programming methods for solving optimization problems with one criterion and with relations (Lagrange multipliers method, reduced gradient methods - Wolfe's method). • Transformation of nonlinear optimization models into linear models. • Multilevel mathematical programming • Dynamic programming • Compromise and composite programming • Goal programming