The Generalized Renewal Process (GRP) is a probabilistic model for repairable systems that can represent the usual states of a system after a repair: as new, as old, or in a condition between new and old. It is often coupled with the Weibull distribution, widely used in the reliability context. In this paper, we develop novel GRP models based on probability distributions that stem from the Tsal...

Two important wood properties are the modulus of elasticity (MOE) and the modulus of rupture (MOR). In the past, the statistical distribution of the MOE has often been modeled as Gaussian, and that of the MOR as lognormal or as a twoor three-parameter Weibull distribution. It is well known that MOE and MOR are positively correlated. To model the simultaneous behavior of MOE and MOR for the purp...

This study shows how a probabilistic microstructural model for fibrous connective tissue behavior can be used to objectively describe soft tissue low-load behavior. More specifically, methods to determine tissue reference length and the transition from the strain-stiffening "toe-region" to the more linear region of the stress-strain curve of fibrous connective tissues are presented. According t...

Two determinants of crown fire hazard are canopy bulk density (CBD) and canopy base height (CBH). The Fire and Fuels Extension to the Forest Vegetation Simulator (FFE-FVS) is a model that predicts CBD and CBH. Currently, FFE-FVS accounts for neither geographic variation in tree allometries nor the nonuniform distribution of crown mass when one is estimating CBH and CBD. We develop allometric eq...

Tree diameter measurements are repetitive, time-consuming, and laborious but necessary to obtain the distribution of stands. provides much information for sustainable management can be predicted with high accuracy, thus saving time financial resources. Permanent sample plots that belong a permanent sampling network located in protected area South Western Carpathians Romania were used this study...

Purpose – This study aims to focus on asset management of large-scale information systems supporting infrastructures and especially seeks to address a methodology of their statistical deterioration prediction based on their historical inspection data. Information systems are composed of many devices. Deterioration process i.e. wear-out failure generation process of those devices is formulated b...

In this paper, motivated by the interest and relevance of the study of tumor growth models, a central point of our investigation is the study of the chaotic dynamics and the bifurcation structure of Weibull-Gompertz-Fréchet’s functions: a class of continuousdefined one-dimensional maps. Using symbolic dynamics techniques and iteration theory, we established that depending on the properties of t...

We perform a comparison of the performance and efficiency of four different function evaluation methods: black-box functions, binary trees, n-ary trees and string parsing. The test consists in evaluating 8 different functions of two variables x, y over 5000 floating point values of the pair (x, y). The outcome of the test indicates that the n-ary tree representation of algebraic expressions is ...

In this present paper an inventory model is developed with ramp type demand, starting with shortage and three – parameter Weibull distribution deterioration. A brief analysis of the cost involved is carried out by an example.