COURSE UNIT TITLE

: RELIABILITY THEORY AND METHODS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
STA 5109 RELIABILITY THEORY AND METHODS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR SELMA GÜRLER

Offered to

Statistics (English)
STATISTICS (ENGLISH)
Statistics (English)

Course Objective

The objective of this course is to cover an intermediate level of Reliability Theory. It aims to provide some concepts and techniques for evaluating the reliability of engineering systems.

Learning Outcomes of the Course Unit

1   1. Describe the quantitative measures of reliability of a unit such as reliability, failure rate, mean time to failure, mean residual life functions
2   2. Describe the common distributions for failure models with their properties
3   3. Calculate the reliability of systems of independent components (parallel, series ect.)
4   4. Analyze the lifetime properties of systems
5   5. Define classes of life distributions based on notions of ageing.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Review of probability concepts and statistics
2 Order statistics
3 Reliability function, failure rate
4 Mean time to failure, Mean residual life function
5 Common distributions for failure models
6 Common distributions for failure models
7 System of independent components and reliability properties
8 System of independent components and reliability properties
9 Series and parallel systems, k-out-of-n systems
10 Concepts and applications of stochastic ageing
11 Shape of a failure rate function
12 Basic concepts for univariate reliability classes
13 Univariate stochastic ordering, Hazard rate ordering, MRL ordering, homework
14 Reliability in stress-strength models

Recomended or Required Reading

1. A. Høyland, M. Rausand, System reliability theory, models and statistical methods, John Wiley & Sons, 1994.
2. R. E. Barlow, F. Proschan, Statistical theory of reliability and life testing, Holt, Rinehart and Winston, 1975.
3. W. Kuo, M.J. Zuo, Optimal reliability modeling, John Wiley & Sons, 2003.

Planned Learning Activities and Teaching Methods

The course consists of lecture and homework.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 +ASG * 0.20 +FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Evaluation of exams and homework

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the policy at http://www.fbe.deu.edu.tr

Contact Details for the Lecturer(s)

DEU. Faculty Sciences Department of Statistics B003
e-mail: selma.erdogan@deu.edu.tr
Tel: 0232 301 85 71

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 1 40 40
Preparation for final exam 1 45 45
Preparing assignments 1 50 50
Final 1 3 3
Midterm 1 2 2
TOTAL WORKLOAD (hours) 196

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.154253332
LO.254253332
LO.354253332
LO.454253332
LO.554253332

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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