Course: Operations research 2

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Course title Operations research 2
Course code KMA/OV2
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
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 - single-server case with limited and unlimited queue. 3. Queueing theory models - descriptive models - multiple-server 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 multi-period models. 8. Input-output analysis - the open Leontief´s model, distribution equation system. 9. Input-output analysis - relation between the price of the total production and value added by working; dynamization of an input-output 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 real-life 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. McGraw-Hill.
  • 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.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Applied Statistics (2015) Mathematics courses 3 Summer
Faculty of Science Mathematics-Economics of Banking / Insurance Systems (1) Mathematics courses 3 Summer
Faculty of Science Applications of Mathematics in Economy (2015) Mathematics courses 1 Summer