Introduction to Mathematical Theory of Reliability- definitions of reliability, hazard function, reliability function, MTTF. Typical Hazard Models-constant hazard, increasing/decreasing hazard, bathtub hazard. Monotone Failure Rate-important inequalities.
Renewal Theory-renewal equation and generalizations,limit theorems,models with renewal,alternating renewal processes.
System Reliability Analysis-Boolean algebra theorems, Boolean function, models for system reliability, coherent systems and structure function, series,paralel and k out of n systems, representation of coherent systems by minimal path and minimal cuts,inclusion-exclusion formula, reliability estimation of the coherent systems.
Maintenance Policies-replacement based on age, random replacement.
Statistical Analysis of Censored Reliability Data, type I censoring, type II and III censoring, general censoring, Kaplan-Meier PL estimate.
Renewal Theory-renewal equation and generalizations,limit theorems,models with renewal,alternating renewal processes.
System Reliability Analysis-Boolean algebra theorems, Boolean function, models for system reliability, coherent systems and structure function, series,paralel and k out of n systems, representation of coherent systems by minimal path and minimal cuts,inclusion-exclusion formula, reliability estimation of the coherent systems.
Maintenance Policies-replacement based on age, random replacement.
Statistical Analysis of Censored Reliability Data, type I censoring, type II and III censoring, general censoring, Kaplan-Meier PL estimate.