There are various ways of quantifying the statistical heterogeneity of a given probability law: Statistics uses variance — which measures the law’s dispersion around its mean; Physics and Information Theory use entropy — which measures the law’s randomness; Economics uses the Gini index...

In this paper, the reliability and replacement policy of a k/n(F) (i.e. k-out-of-n: F) system with repairable repair-equipment is analyzed. We assume thatboth the working and repair times of all components in the system and therepair-equipment follow exponential distributions, and the repairs on...

Fluid models are used to study functionals of the underlying random processes. Instead of analysing the trajectories, we investigate algebraic equations of the dynamic programming type which turn out to be discrete analogs of the corresponding differential equations. This analysis makes it...

In this work we develop three flow-line systems with baulking in which we incorporate an uncertain distribution of baulking using Fuzzy Set Theory. For the study and analysis of the models, we take as a starting point the queuing model with baulking development by Saaty from the models of Homma...