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This means that methods already introduced in other courses are studied in more detail, with assistance of new application examples and new perspectives. Some new methods are also introduced so that the students, after having taken the course, will have a heavy weighted toolbox of methods to use in their future work tasks.  

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Expected learning outcome

More specifically, the learning outcome should be:

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General competence:
Understand RAMS as an important cornerstone of industrial and commercial systems and in the public administration. 

Topics

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covered

Topics to be covered are as part of the course are (organized according to whether the application is mainly for safety-critical systems or production-critical systms, or both) presented below. Note that more than one lecture may be used to cover one particular topic. See the lecture plan for more details.

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Reliability analyses of safety-critical systems

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  • Slides 

 

  • Development of reliability requirements

    "Safety integrity level (SIL) is a key reliability performance measure used for safety-critical systems. Reliability requirements are therefore often given as SIL requirements are identified in an extension of the risk analysis, using methods often refered to as SIL allocation, SIL targeting and SIL classification. Key methods like Layers of protection analysis (LOPA), risk graph, and minimum SIL are presented and discussed."
  • Reliability analyses: Extending with new analytical & dynamic modeling approaches.

    "In TPK 4120, some analytical formulas were introduced to calculate the average probability of failure on demand (PFD). It was also shown how the average PFD may be calculated using Markov methods and fault tree analysis. This reliability measure is of high importance in relation to SIL, as a relationship is established between a SIL requirement and the maximum PFD tolerated for a safety function. In this course, we go a step further and introduce the foundations for analytical formulas presented in IEC 61508 (a key standard for reliability of safety-critical systems), the PDS method (a method along with a set of analytical formulas widely adapted in the Norwegian oil and gas industry, but which has a wider application area), and dynamic modeling, using Petri Nets."

  • Special analysis challenges (possible candidates for under this heading):
    • Partial and imperfect testing
    • Follow-up of SIL requirements in the operational phase
    • Hardware fault tolerance - Hardware design constraints of safety-critical functions

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  • Some examples showing the relevance of this topic may be found with consultancy companies, such as with Safetec, Lloyd's Register Consulting, and DNV-GL (link to the GL-part of the services), and Lilleaker Consulting. Manufacturers like ABB, Siemens, AkerSolutions, FMC, Kongsberg Maritime and many more need to design systems in light of SIL requirements, and also demonstrate (sometimes with assistance of the consultancy companies) that the SIL requirements are met. End users, like railway service providers like Jernbaneverket, oil companies like Statoil, Det Norske, GDF-Suez, Shell and Conoco-Phillips among some, and owners of smelting plants, owners of water power stations must demonstrate that the SIL requirements continue to be met throughout the life of the systems.

Maintenance optimization

 

 

 

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optimization

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Lecture material supporting this topic are:

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There will be mandatory problems/tasks to solve as part of the course.

TopicProblems Software
Reliability

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assessmentProblems will be selected from the following booklet Matlab, Maple, Grif
Maintenance optimization Problems will be .... Excel


Software MatlabTutorials will focus on the application of lectured methods, and in particular comparing results of using different approaches. Two or three case studies will be introduced and used as basis for the problem solving. Matlab, Maple and Grif (the latter is a rather recent software for reliability assessment in use here at the NTNU) will be preferred to assist the reliability analyses.

 

Maintenance optimization:

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