Lecturer(s)


Kouřilová Pavla, Mgr. Ph.D.

Talašová Jana, doc. RNDr. CSc.

Stoklasa Jan, Mgr. et Mgr. Ph.D.

Course content

1. Renewal models  renewal of ageing equipment models; renewal of failing element models. 2. Queueing theory models  descriptive models  singleserver case with limited and unlimited queue. 3. Queueing theory models  descriptive models  multipleserver case, models with priority queue. 4. Queueing theory models  optimization models. 5. Deterministic inventory models  periodic review: uniform demand (shortages not permitted, shortages permitted). 6. Deterministic multiproduct inventory models  inventory strategies, inventory control under the constraints. 7. Stochastic inventory models  a single period model with no setup cost, basic strategies of multiperiod models. 8. Inputoutput analysis  the open Leontief´s model, distribution equation system. 9. Inputoutput analysis  relation between the price of the total production and value added by working; dynamization of an inputoutput model.

Learning activities and teaching methods

Lecture, Projection (static, dynamic)
 Attendace
 52 hours per semester
 Homework for Teaching
 30 hours per semester
 Preparation for the Exam
 40 hours per semester

Learning outcomes

To know and to comprehend selected models of operations research.
Comprehension Student will understand the theoretical basis of the presented mathematical models. Application Students will be able to apply the presented mathematical methods to solving selected reallife problems.

Prerequisites

KMA/OV1 completed.
KMA/OV1

Assessment methods and criteria

Oral exam, Student performance
Credit: the student has to solve a problem of network analysis  to find a critical path in a network graph describing an activity being chosen by him/her using the CPM method. The student has to pass a test (at least 50%). Exam: the student has to be able to describe particular models and to solve basic problems with these models.

Recommended literature


F. S. Hillier, G. J. Lieberman. (2001). Introduction to operations research, 7th edition. New York.

F. S. Hillier, G. J. Lieberman. (1990). Introduction to Stochastic Models in Operation Research. McGrawHill.

I. Gros. (2003). Kvantitativní metody v manažerském rozhodování. Grada.

P. Kučera, J. Švasta. (2004). Strukturní analýza I. Česká zemědělská univerzita v Praze.

R. Hušek, M. Maňas. (1989). Matematické modely v ekonomii. SNTL, Praha.
