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Lecturer(s)
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Bažant Michael, doc. Ing. Ph.D.
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Pozdílková Alena, Mgr. Ph.D.
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Course content
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1. Introduction to Front Theory - History, Basic Elements of Mass Management Systems 2. Simulation models (physical x mathematical), Monte Carlo method 3. Markov chains 4. Kendall classification 5. M / M / 1 system 6. M / M / n system with the unfinished queue and proper queue mode 7. M / M / n system with finite queue length and proper front mode 8. M / M / n system with losses 9. Closed system 10.M / D / 1 system with unbounded queue 11.M / G / 1 system with unbounded queue 12.M / EK / 1 system with unbounded queue 13. Comparison of individual systems
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Learning activities and teaching methods
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unspecified, Monologic (reading, lecture, briefing), Methods of individual activities
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Learning outcomes
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The aim of the subject is to familiarize students with systems in which there are processes of service between customers and service centers. Students will be introduced to modeling to find the best way for organizing queues to achieve, in particular, the highest profit from their activities, avoiding loss of downtime or losing impatient customers, customers waiting for the shortest possible time.
Students actively use mathematical apparatus, are capable of logical and combination thinking and master mathematical skills to the extent that they are able to actively apply them in IT and electrical engineering.
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Prerequisites
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Knowledge of the subject is Probability Theory, Mathematical Statistics, and Random Function Theory.
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Assessment methods and criteria
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Written examination, Self project defence, Presentation
Obtaining credit from the subject is conditional upon successfully passing a written test - at least 50% of success and presentation of the case study.
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Recommended literature
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Linda Bohdan. Stochastické metody operačního výzkumu.
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Saaty, T. Elements of Queueing Theory with Applications.
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Sztrik, J. Basic Queueing Theory.
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Sztrik, J. Practical queueing theory. Teaching material..
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Wolf, R. Stochastic Modeling and the Theory of Queues.
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