Operations Research

Lecturer:

Jaroslav Šafránek, Jaroslav Knápek (gar.), Martin Dobiáš

Tutor:

Jaroslav Šafránek, Jaroslav Knápek (gar.), Martin Dobiáš

Supervisor:

Department of Economics, Management and Humanities

Synopsis:

Art of modeling and elements of decision models, Linear programming, Transportation problem, Integer linear programming, Introduction to graphs theory, Nonlinear programming, Dynamic programming, Monte Carlo simulation, Project management (CPM, PERT.

Requirements:

https://ekonom.feld.cvut.cz/web/index.php?option=com_content&task=section&id=7&Itemid=236

Syllabus of lectures:

1.Linear programming - introduction, graphic solution

2.Linear programming - simplex method

3.Linear programming - dual problem

4.Linear programming - sensitivity and parametric analysis

5.Transportation problem - applications, methods of solution

6.Integer linear programming

7.Graph theory - overview

8.Graph theory - optimization tasks

9.Project management - CPM and PERT methods

10.Project management - analysis of resources

11.Simulation models, Monte Carlo method

12.Random numbers generators

13.Dynamic programming

14.Reserve

Syllabus of tutorials:

1.Operations research introduction

2.Mathematical programming, Lagrange method

3.Graphical solution of linear programming tasks

4.Simplex method, dual problem solution

5.Practical application of linear programming, software support

6.Transportation problem

7.Branch and bound method

8.Tasks on graphs

9.Graph optimization methods

10.Project management - CPM

11.Project management - PERT, resource analysis

12.Random numbers generation, Monte Carlo simulation

13.Test

14.Reserve, assessment

Study Objective:

Study materials:

1.Taha, H.A. Operations research - An Introduction. Prentice Hall 2006

2.Hillier, Lieberman: Introduction to operations research. McGraw-Hill 2005

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri
Thu
Fri	roomZ2:B1-346 Knápek J. Šafránek J. 08:15–11:45 (lecture parallel1) Zikova ulice Ucebna K316

The course is a part of the following study plans:

• Elektrotechnika, energetika a management - Ekonomika a řízení energetiky_145106 (compulsory course in the program)
• Elektrotechnika, energetika a management - Ekonomika a řízení elektrotechniky_145126 (compulsory course in the program)