Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Introduction to Reliability Analysis
Module Level: Bachelor
Abbreviation, if Applicable:
MAM61408 Sub-Heading, if
Applicable:
- Courses included in the module, if applicable
Introduction to Reliability Analysis Semester/term: 5rd/ 3nd year
Module Coordinator(s): Chair of the Lab. Industrial and Finance Mathematics Lecturer(s) Endang Wahyu Handamari, M.Si.
Language Indonesian
Classification within the curriculum
Elective Studies Teaching format / class
hours per week during semester:
150 minutes lectures per week.
Workload: Total workload is 4.5 ECTS, which consists of 2.5 hours lectures, 3 hours structured activities, 3 hours independent learning, 16 week per semester, and a total 136 hours per semester including mid exam and final exam.
Credit Points: 3
Requirements according to the examination regulations:
Students have taken Introduction to Reliability Analysis course (MAM61408, have attendance at least 80%, and have the examination card when where the course is stated on.
Recommended prerequisties
Students have taken Mathematical Statistics course (MAM62401) and have participated in the final exam on the module.
Learning
goals/competencies or
Module
objectives/intended learning outcomes
After completing this course the student should have
CLO 1 : ability to explain basic concepts and solve problems in the reliability and hazard functions.
CLO 2 : Ability to calculate Mean Time to Failure (MTTF) and Mean Residual Life (MRL).
CLO 3 : Ability to construct and evaluate reliability in blog diagrams.
CLO 4 : Ability to solve complex system reliability.
CLO 5 : Ability to explain reliability depends on time and failure.
CLO 6 : Ability to describe and apply estimation methods of the parameter distribution of failure time.
CLO 7 : Ability to explain and solve the problems related to the parametric reliability models.
Content: 1. Introduction to reliability: definition of reliability function, hazard function: constant, linearly increasing hazard, linearly decreasing hazard, Weibull model, exponential model, Normal model, lognormal model, Gamma model, logistic model, Beta model.
2. Mean Time to Failure (MTTF) and Mean Residual Life (MRL).
Module Handbook-Mathematics-Universitas Brawijaya 3. Evaluation of the reliability system: reliability block diagram, series
system, parallel system, parallel-series system, serial-parallel system, F system: consecutive k out of n.
4. Complex reliability system, decomposition method.
5. Reliability depending on the time and failure, repairable systems , applications of alternating renewal process on reliability, Mean Between Failure (MTBF), Mean Time to Repair (MTTF), availability.
6. Estimation methods of the parameters distribution of failure time:
point estimation: Method of Moments, Maximum Likelihood Estimation, Method: exponential distribution, Rayleigh distribution, variance-covariance matrix, least squares method, Confidence intervals.
7. Parametric reliability models: definition, historical data, type 1 censoring, type 2 censoring, random censoring, hazard rate calculations under censoring.
8. Reliability testing: exponential distribution: testing for abnormally short failure times, testing for abnormally long failure times.
Study / exam achievements:
The final mark will be weighted as follows:
No. Assessment methods (component, activities). Weight
1. Assignment 20 %
2. Quiz 1 20 %
3. Quiz 2 20 %
4. Mid examination 25 %
5. Final examination 25 %
Final grades is defined as follow: A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80
B : 69 < Final Mark ≤ 75
C+ : 60 < Final Mark ≤ 69
C : 55 < Final Mark ≤ 60
D+ : 50 < Final Mark ≤ 55
D : 44 < Final Mark ≤ 50
E : 0 ≤ Final Mark ≤ 44
Forms of Media Slides and LCD projectors, laptop/ computer, whiteboards.
Learning Methods Lecture
Literature 1. Elsayed A., 1996, Reliability Engineering, Addison Wesley, Longman, Inc.
2. Dhillon B. S., Singh C, 2014, Engineering Reliability New Techniques and Applications, John Wiley & Sons.
Notes:
