Linear optimization models, their algebraic and geometric representations, simplex method, sensitivity and duality. Network models, transportation problem, assignment model, duality in transportation problem, simplex technique for transportation. Shortest route in general network, shortest and longest routes for acyclic network. Dynamic programming in optimization of networks, CPM, PERT. Waiting line models. Single-server and multiple-server model with Poisson input and exponential service other queuing models.
System Analysis
| Type of study | Doctoral |
|---|---|
| Language of instruction | English |
| Code | 352-0908/05 |
| Abbreviation | SA |
| Course title | System Analysis |
| Credits | 10 |
| Coordinating department | Department of Control Systems and Instrumentation |
| Course coordinator | prof. Ing. Miluše Vítečková, CSc. |
Osnova předmětu
Povinná literatura
HILLIER, F. S., LIEBERMAN, G. J. Introduction to Operations Research. Eighth Edition. McGraw-Hill, New York, 2005, ISBN 0-07-252744-7 .
HUDZOVIČ, P. Optimalizácia. Vydavateľstvo STU, Bratislava, 2001, ISBN 80-227-1598-0 .
MARLOW, W. H. Mathematics for Operations Research. John Wiley & Sons, New York, 1978, ISBN 0-486-67723-0.
RARDIN, R. L. Optimization in Operations Research. Second Edition. Pearson Higher Education, Hoboken, 2017, ISBN 978-0-13-438455-9 .
RAVINDRAN, A., RAGSDELL, K. M., REKLAITIS, G. Engineering Optimization. Methods and Applications. Second Edition. John Wiley & Sons, Hoboken, 2006, ISBN-13 978-0-471-53814-9
ROSINOVÁ, D., DÚBRAVSKÁ, M. Optimalizacia. Vydavateľstvo STU, Bratislava, 2007, ISBN 978-80-227-2795-2 .
VÍTEČEK, A., VÍTEČKOVÁ, M. Optimální systémy řízení. Dotisk 1. vydání. VŠB-TU Ostrava, Ostrava, 2018, ISBN 978-80-248-4239-4 .
http://books.fs.vsb.cz/SystAnal/Uvod.htm
HUDZOVIČ, P. Optimalizácia. Vydavateľstvo STU, Bratislava, 2001, ISBN 80-227-1598-0 .
MARLOW, W. H. Mathematics for Operations Research. John Wiley & Sons, New York, 1978, ISBN 0-486-67723-0.
RARDIN, R. L. Optimization in Operations Research. Second Edition. Pearson Higher Education, Hoboken, 2017, ISBN 978-0-13-438455-9 .
RAVINDRAN, A., RAGSDELL, K. M., REKLAITIS, G. Engineering Optimization. Methods and Applications. Second Edition. John Wiley & Sons, Hoboken, 2006, ISBN-13 978-0-471-53814-9
ROSINOVÁ, D., DÚBRAVSKÁ, M. Optimalizacia. Vydavateľstvo STU, Bratislava, 2007, ISBN 978-80-227-2795-2 .
VÍTEČEK, A., VÍTEČKOVÁ, M. Optimální systémy řízení. Dotisk 1. vydání. VŠB-TU Ostrava, Ostrava, 2018, ISBN 978-80-248-4239-4 .
http://books.fs.vsb.cz/SystAnal/Uvod.htm