457-0053/02 – Operational Analysis (OA)

Gurantor department	Department of Applied Mathematics	Credits	6
Subject guarantor	Ing. Martina Litschmannová, Ph.D.	Subject version guarantor	Ing. Martina Litschmannová, Ph.D.
Study level	undergraduate or graduate	Requirement	Compulsory
Year	5	Semester	winter
		Study language	Czech
Year of introduction	1995/1996	Year of cancellation	2009/2010
Intended for the faculties		Intended for study types

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Part-time	Credit and Examination	12+8

Subject aims expressed by acquired skills and competences

Teaching methods

Summary

Compulsory literature:

Recommended literature:

Additional study materials

Study supports in the EduDocs system

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Základní pojmy teorie grafů. 2. Lesy, stromy, kostry, hranově ohodnocené grafy. 3. Nejlevnější kostra souvislého graf, Kruskalův algoritmus. 4. Vzdálenost v grafech, Mooerův algoritmus, centrum medián. 5. Míra souvislosti grafu, spolehlivost sítí. 6. Stavové grafy a jejich užití, Eulerovské a Hamiltonovské grafy. 7. Orientované grafy a sítě (grafový pojem). 1. Úvod do teorie hromadné obsluhy. 2. Typy obsluhových systémů a jejich popis. 3. Matematický popis a řešení obsluhových systémů M/M/N/C a M(n)/M/N/C. 4. Pravděpodobnostní charakteristiky obsluhových systémů (OS) se ztrátou. 5. OS se ztrátou - Piossovů, Erlangův, Engsetův a Bernoulliho model. 6. Obsluhové systémy s čekáním - modely s čekáním a smíšené klasického typu. 7. Obsluhové systémy s čekáním - obsluhový systém M/G/1/C.

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation and Examination	Credit and Examination	100 (145)	51	3
Examination	Examination	100	0	3
Exercises evaluation	Credit	45	0	3

Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Spec.	Form	Study language	Tut. centre	Year	Type of duty
2006/2007	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan
2005/2006	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan
2004/2005	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan
2003/2004	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan
2002/2003	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan
2001/2002	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan
2000/2001	(M2301) Mechanical Engineering	(3708T018) Design Operation and Maintenance of Vehicles	(30) Transport Economics and Management	K	Czech	Ostrava	5	Compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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