Mathematical Economics 2

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Software Engineering

Synopsis:

The course introduces selected models and methods for economic decision making. The main attention is given to optimization models in graphs, project management, inventory management with deterministic and stochastic demand, queuing theory and simulation models.

Requirements:

Syllabus of lectures:

1.Graph Theory - an introduction, basic optimization problem on graphs

2.Shortest route problem, minimal spanning tree problem, maxima flow problem

3.Project management - CPM method

4.Project management - PERT method.

5.Inventory management models - EOQ model.

6.Inventory management models - POQ model.

7.Waiting lines models - an introduction

8.M/M/1 and M/M/c model - optimization in waiting lines models

9.Markov processes

10.Simulation models - probability part of the system

11.Simulation models - dynamic part of the system

12.Multicriteria decision making - formulation of typical problems

13.Multicriteria evaluation of alternatives

Syllabus of tutorials:

1.Optimization problem on graphs

2.Shortest route problem, minimal spanning tree problem, maximal flow problem

3.Project management - CPM method

4.Project management - PERT method.

5.Inventory management models - EOQ model.

6.Inventory management models - POQ model.

7.Waiting lines models

8.Optimization in waiting lines models

9.Markov processes

10.Simulation models

11.Simulation models

12.Multiple criteria decision making - estimation of weights of criteria

13.Multiple criteria evaluation of alternatives

Study Objective:

The aim of the course is to inform students about basic algorithms for solution of decision making problems and software products for modelling and optimization.

Upon successful completion of this course, students will be able to apply basic operational research methods and models for solving of real decision making problems. The will be familiar with software products for mathematical modelling and optimisation.

Study materials:

Key sources:

1.Jablonský, J.: Operační výzkum - kvantitativní modely pro ekonomické rozhodování. Professional Publishing, Praha 2007

Recommended sources:

2.Hušek,R., Lauber,J.: Operační výzkum. SPN, Praha 1990.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• BS Matematické inženýrství - Matematické modelování (elective course)
• BS Matematické inženýrství - Matematická fyzika (elective course)
• BS Matematické inženýrství - Aplikované matematicko-stochastické metody (elective course)
• BS Informatická fyzika (elective course)
• BS Aplikace softwarového inženýrství (compulsory course of the specialization, elective course)
• BS Aplikovaná informatika (elective course)
• BS jaderné inženýrství B (elective course)
• BS Jaderné inženýrství C (elective course)
• BS Dozimetrie a aplikace ionizujícího záření (elective course)
• BS Experimentální jaderná a částicová fyzika (elective course)
• BS Inženýrství pevných látek (elective course)
• BS Diagnostika materiálů (elective course)
• BS Fyzika a technika termojaderné fúze (elective course)
• BS Fyzikální elektronika (elective course)
• BS Jaderná chemie (elective course)