Reliability theory

  • Help
  • Find
  • Facebook
  • Twitter

Choose UPPA

    • International student life

      UPPA offers its students international mobility through multiple partnerships.

      Read more

    • Cultural, associative and sport student life

      40 sports and outdoor activities, rich and varied programmes with concerts and live shows, on Thursday afternoons (traditionally free from classes) UPPA offers free events ...

      Read more


Reliability theory


One of the goals of reliability theory is to forecast the capacity of an industrial system to ensure its functions. This capacity is measured through indicators such as the reliability, the availability, the mean residual lifetimes, etc. The evolution over time of a system is fixed in advance and stochastic models are thus considered. Once fitted from feedback data, these models allows then to identify indicators of interest. The aim of this course is to present the classical notions in reliability theory, jontly with the models and probabilistic tools used in such a context.

A part of the course will be taught by industrialists, with applications using the professional software GRIF for RAMS (

Number of hours

  • Cours Magistral : 30h
  • Travaux Dirigés : 28.5h

Form of assessment

First session

Second session

Continuous assessment : 100%

Final asses : 0%

Remedial examination: 100 %

Remedial examination length: 3 heures


1) Classical notions in reliability theory: availability, residual lifetimes, stochastic orders, aging

2) Modelisation of complex systems: structure function, coherent system, fault tree, reliability diagram, computation of reliability and availability

3) Modelisation base on Markov jump process

4) Degradation models (gamma process)

5) Regenerative processes and limit theorems: application to the study of preventive maintenance policies

6) Complements: industrial problems, modelisation based on Petri networks, study of real cases, use of GRIF software.


Reference: Cocozza-Thivent C (1997). Processus stochastiques et fiabilité des systèmes, Springer, Collection mathématiques et applications, n° 28.

In brief

ECTS credits 4.0

Number of hours 58.5

Level of study Master degree level


Organizational unit

Administrative contact(s)

Secrétariat de Mathématiques

Email : secretariat-mathematiques @


  • Pau