Lecturer(s)


Žižka Miroslav, prof. Ing. Ph.D.

Štichhauerová Eva, Ing. Ph.D.

Course content

Lectures: 1. Introduction into quantitative methods. Characterization of quantitative methods and operations research for decisionmaking. Fundamental classification of quantitative methods in management. 2. Linear programming. Formulation of linear programming tasks. Classification of linear programming models. Primary and dual problems. 3. Production, transportation and allocation tasks of linear programming. Fundamental numerical procedures for the models. Geometrical and graphical solution of linear programming tasks. 4. Simplex method. Solution of linear programming tasks in the MS Excel environment. Postoptimization analysis, duality of linear programming tasks. 5. Inventory theory. Deterministic and stochastic models of inventory management. 6. Economic order quantity model. Production quantity model. Quantity discount model. Model of partnership cooperation. 7. Inventory management in uncertainty conditions. Safety stock optimization methods. 8. Queuing theory. Characteristics and structure of bulk service systems. Simple system of bulk service. 9. Multiple channels and multiple phases queuing models. Costs optimization in queuing theory. 10. Renewal theory. Optimal renewal cycle of equipment from the point of view: costs. 11. Group and extended renewal models. 12. Graph theory. Basic terminology. Typical tasks solved through graphs. 13. Multicriteria decision making. Criteria weights assessment methods. Methods of multicriteria evaluation. 14. Simulation models. Steps for solving of problems through simulation. Classification of simulation methods. Seminars: At the seminars, students will be acquainted with the practical usage of selected quantitative methods in managerial decisionmaking process. After the topics are lectured the knowledge is deepened through calculating some examples.

Learning activities and teaching methods

Monological explanation (lecture, presentation,briefing), Selfstudy (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Seminár, Elearning
 Preparation for exam
 30 hours per semester
 Semestral paper
 20 hours per semester
 Home preparation for classes
 15 hours per semester
 Contacts hours
 56 hours per semester

Learning outcomes

The aim of the subject is to get knowledge of theoretical background and practical applications of selected quantitative methods. The methods are used to support the decision making of managers at different levels of management
Students obtain knowledge of mathematical methods which can be used for solution of decisionmaking tasks in the business administration and management.

Prerequisites

unspecified

Assessment methods and criteria

Written exam
Credit: There are two conditions for getting the credit. First, students have to be present at the seminars and calculate examples. The second condition is writing a case study using a selected quantitative method. Exam: There is a written exam composed from 10 theoretical questions and 4 examples to solve.

Recommended literature


Aplikace v MS Excel.

EISELT, H. A. a C. L. SANDBLOM. Operations Research: A ModelBased Approach 2nd ed. Berlin Heidelberg: Springer Verlag, 2012. ISBN 9783642310539.

FIALA, P., et al. Operační výzkum  nové trendy. Praha: Professional Publishing, 2010. ISBN 9788074310362.

GROS, I. Matematické modely pro manažerské rozhodování. Praha: Vydavatelství VŠCHT Praha, 2009. ISBN 9788070807095.

IYER, P. S. Operations research. 6th ed. New Delhi: McGraw Hill Education, 2015. ISBN 9780070669024.

PLEVNÝ, M. a M. ŽIŽKA. Modelování a optimalizace v manažerském rozhodování. 2. vyd. Plzeň: Vydavatelství Západočeské univerzity v Plzni, 2010. ISBN 9788070439333.

SIXTA, J. a M. ŽIŽKA. Logistika: Metody používané pro řešení logistických projektů. Brno: Computer Press, 2009. ISBN 9788025125632.
