Mathematical Economics 2

Lecturer:

Petr Kubera (gar.)

Tutor:

Petr Kubera (gar.)

Supervisor:

Synopsis:

The aim of this course is to provide students with a knowledge of the selected models for economics decision. We focus on dynamic programming, queuing theory, solution of linear and nonlinear models.

Requirements:

Syllabus of lectures:

Dynamic programming: resource allocation, knapsack problem

Dynamic programming: production scheduling

Dynamic programming: device recovery

Stochastic models: Markov chains

Queuing theory: introduction, classification

Queuing theory: M/M/1 and application

Queuing theory: M/M/C and application

Multi-criteria decision: introduction

Introduction to linear programming: graphical solution, simplex method

Linear programming in Excel

Nonlinear models: introduction

Solution of nonlinear models in 1D

Solution of nonlinear models: gradient method

Syllabus of tutorials:

The structure of exercises is identical to lectures. Exercises are focused on typical problems from each theme.

Dynamic programming: resource allocation, knapsack problem

Dynamic programming: production scheduling

Dynamic programming: device recovery

Stochastic models: Markov chains

Queuing theory: introduction, classification

Queuing theory: M/M/1 and application

Queuing theory: M/M/C and application

Multi-criteria decision: introduction

Introduction to linear programming: graphical solution, simplex method

Linear programming in Excel

Nonlinear models: introduction

Solution of nonlinear models in 1D

Solution of nonlinear models: gradient method

Study Objective:

Knowledge: The aim of this course is to provide students basic overview of methods for economics decision

Abilities: Students gains ability to select and use appropriate method for their decision.

Study materials:

Key references:

Operational research - quantitative models for economic decision; Jablonský Josef; Professional Publishing; Praha 2004; (in Czech)

Operational research; Jablonský Josef; VSE; Praha 2001; (in Czech)

Recommended references:

System engineering and decision; Dudorkin Jiří; FEL, ČVUT 2003, (in Czech)

Economical and mathematics methods; Vaněčková Eva; JČU; České Budějovice 1996; (in Czech)

Operational research; Lauber Josef, Hušek Roman;VŠE; Praha 1990; (in Czech)

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: