Reliability (0365.4221)

Professor Uri Yechiali
Department of Statistics and Operations Research
School of Mathematical Sciences
Tel-Aviv University

Office Hours:    Sunday 12:00 - 13:00   Schreiber 326

Phone: +972-3-640-9637.

Class Days and Hours:

Spring semester 2004

Sunday 13:00 - 16:00, Dan David 204   


Probability Theory, Operations Research 1, Introd. to Stochastic Processes (desired)

Course Content:

Reliability of a system is its probability of functioning properly for a given period of time.

The course deals with the probabilistic analysis of multi-component complex systems where the life-time of each component is random. Characterizations of such systems, their properties, along with their design and optimization are the focus of this course.


  1. Introduction
  2. Reliability of systems of components; Systems in Series, Parallel, k out of n, or general configuration; Presentation of Coherent systems in terms of paths and cuts
  3. Families of probability distributions useful in describing life-times of components
  4. The hazard function; IFR, DFR, IFRA and DFRA properties
  5. Maintenance policies; NBU, NWU, NBUE and NWUE characterizations; Shock models
  6. Replacement models
  7. Optimization and design of reliability systems

Helpful Reference Books