Reliability (0365.4221)

Professor Uri Yechiali
Department of Statistics and Operations Research
School of Mathematical Sciences
Tel-Aviv University
uriy@post.tau.ac.il

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   


Prerequisites

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.

Topics:

  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