|Co-ordinator||Dr J A Lane|
|Semester||Intended For Use In Future Years|
|Next year offered||N/A|
|Next semester offered||N/A|
|Course delivery||Lecture||19 x 1hour lectures|
|Seminars / Tutorials||3 x 1hour example classes|
|Assessment||Exam||2 Hours (written examination)||75%|
|Project report||About 2,000 words plus supporting graphs, tables etc||25%|
|Resit assessment||2 Hours (written examination) Project passed: assessment as above, project mark carried forward Project failed: 2 hour written examination - 100%||100%|
This module will consider the mathematical methods underpinning the often life-and-death issues of safety and risk assessment in modern high technology industries. Some of the questions studied such as life testing, also have counterparts in medical staistics. The module includes a short project.
To introduce students to the properties of lifetime distributions, and their estimation, to study the reliability of systems of components and gain an appreciation of how high levels of reliability and safety may be achieved in practice.
On completion of this module, a student should be able to:
1. STATISTICAL FAILURE MODELS: Reliability and hazard functions, mean time to failure, reliable lifetime; distributions (Exponential, Weibull, Gamma, Gumbel, Log Normal) competing risks; simple bounds on reliability.
2. SYSTEMS RELIABILITY: Series, parallel, k out of n systems. Path and cut sets, momotonic systems, modules. Bounds on system reliability. Fault trees.
3. MAINTAINED SYSTEMS: Availability, systems availability; maintenance. Spares problems; NBU components.
4. FITTING MODELS TO RELIABILITY DATA: Life tests: type 1 and 2 censoring, progressive censoring; accelerated life tests. Kaplan-Meier estimator. Maximum likelihood estimation for exponential and Weibull censoring; reliability function, reliable lifetime. Arrhenius and power law models.
** Recommended Text
D L Grosh. A Primer of Reliability Theory. Wiley