Uncertainty Analysis in Software Reliability Modeling by Bayesian Analysis with Maximum-Entropy Principle

In software reliability modeling, the parameters of the model are typically estimated from the test data of the corresponding component. However, the widely used point estimators are subject to random variations in the data, resulting in uncertainties in these estimated parameters. Ignoring the parameter uncertainty can result in grossly underestimating the uncertainty in the total system reliability. This paper attempts to study and quantify the uncertainties in the software reliability modeling of a single component with correlated parameters and in a large system with numerous components. Another characteristic challenge in software testing and reliability is the lack of available failure data from a single test, which often makes modeling difficult. This lack of data poses a bigger challenge in the uncertainty analysis of the software reliability modeling. To overcome this challenge, this paper proposes utilizing experts' opinions and historical data from previous projects to complement the small number of observations to quantify the uncertainties. This is done by combining the maximum-entropy principle (MEP) into the Bayesian approach. This paper further considers the uncertainty analysis at the system level, which contains multiple components, each with its respective model/parameter/ uncertainty, by using a Monte Carlo approach. Some examples with different modeling approaches (NHPP, Markov, Graph theory) are illustrated to show the generality and effectiveness of the proposed approach. Furthermore, we illustrate how the proposed approach for considering the uncertainties in various components improves a large-scale system reliability model.     

Effects of loading rate and temperature on tensile yielding and deformation mechanisms of nylon 6-based nanocomposites

Tensile tests were conducted on nylon 6/organoclay nanocomposites, with and without POE-g-MA rubber particles, over a range of temperatures and strain rates 10⁻⁴–10⁻¹ s⁻¹. It was shown that the 0.2% offset yield strength varied with both temperature and strain rate which could be described by the Eyring equation thus providing results on the activation energy and activation volume for the physical processes involved. In addition, their tensile deformation mechanisms were characterized using the tensile dilatometry technique to differentiate the dilatational processes (e.g., voiding/debonding caused by the organoclay and rubber particles or matrix) and shear yielding (e.g., matrix with zero volume change). Dilatometric responses indicated that the presence of POE-g-MA rubber particles did not alter the shear deformation mode of neat nylon 6. In contrast, the presence of organoclay layers changed the tensile yield deformation behavior of nylon 6 matrix from dominant shear yielding to combined shear yield plus dilatation associated with delaminations of nanoclay platelets. In nylon 6/organoclay/POE-g-MA ternary nanocomposite, the volume strain response indicated that the POE-g-MA rubber particles promoted shear deformation and suppressed delamination of the organoclay layers. Supports for the deformation mechanisms deduced from the tensile dilatometry tests were corroborated by optical microscopy and transmission electron microscopy micrographs of the studied materials.     

In situ thermal reduction of graphene oxide for high electrical conductivity and low percolation threshold in polyamide 6 nanocomposites

Electrically conductive and thermally stable polyamide 6 (PA 6) nanocomposites were prepared through one-step in situ polymerization of ε-caprolactam monomer in the presence of electrically insulating and thermally unstable graphene oxide (GO) nanosheets. These nanocomposites show a low percolation threshold of ∼0.41 vol.% and high electrical conductivity of ∼0.028 S/m with only ∼1.64 vol.% of GO. Thermogravimetric analysis and X-ray photoelectron spectroscopy results of GO before and after thermal treatment at the polymerization temperature indicate that GO was reduced in situ during the polymerization process. X-ray diffraction patterns and scanning electron microscopy observation confirm the exfoliation of the reduced graphene oxide (RGO) in the PA 6 matrix. The low percolation threshold and high electrical conductivity are attributed to the large aspect ratio, high specific surface area and uniform dispersion of the RGO nanosheets in the matrix. In addition, although GO has a poor thermal stability, its PA 6 nanocomposite is thermally stable with a satisfactory thermal stability similar to those of neat PA 6 and PA 6/graphene nanocomposite. Such a one-step in situ polymerization and thermal reduction method shows significant potential for the mass production of electrically conductive polymer/RGO nanocomposites.     

A cultural accommodation model for cross-cultural psychotherapy: Illustrated with the case of Asian Americans.

As an extension of F. T. L. Leong's (1996) integrative model, this article presents the cultural accommodation model (CAM), an enhanced theoretical guide to effective cross-cultural clinical practice and research. Whereas F. T. L. Leong's model identifies the importance of integrating the universal, group, and individual dimensions, the CAM takes the next step by providing a theoretical guide to effective psychotherapy with culturally different clients by means of a cultural accommodation process. This model argues for the importance of selecting and applying culture-specific constructs when working with culturally diverse groups. The first step of the CAM is to identify cultural disparities that are often ignored and then accommodate them by using current culturally specific concepts. In this article, several different cultural "gaps" or culture-specific constructs of relevance to Asian Americans with strong scientific foundations are selected and discussed as they pertain to providing effective psychotherapy to this ethnic minority group. Finally, a case study is incorporated to illustrate application of the CAM. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

A study of N-version programming and its impact on software availability

N-version programming is a useful approach to improve the quality of software, especially for safety-critical systems. Positive performance in enhancing software availability is an expected result. In this paper, a software availability model for the study of the impact of N-version programming technique is proposed and investigated. The characteristics of the N-version software system and its operation and failure process are analysed. Based on this analysis, the time-dependent behaviour of the software system, which alternates between online and offline states, is described using a Markov chain. This model derives quantitative measures of software availability. Numerical examples and comparisons are also presented in this paper to directly illustrate N-version programming's positive impact on software availability measures. N-version programming generally provides a positive impact on the system. However, it does not always guarantee a higher availability performance. General recommendations are provided on N-version software structure design based on cost-effective criteria.     

Impact fracture behaviour of nylon 6-based ternary nanocomposites

This study focuses on achieving high stiffness/strength and high fracture toughness in nylon 6/organoclay nanocomposites prepared via melt compounding by incorporating a maleic anhydride grafted polyethylene–octene elastomer (POE-g-MA) as a toughening agent. Mechanical test results indicated that the ternary nanocomposites exhibited higher stiffness than nylon 6/POE-g-MA binary blends at any given POE-g-MA content. More importantly, the brittle–ductile transition of nylon 6/POE-g-MA blends was not impaired in the presence of organoclay for the compositions prepared in this study. TEM analysis shows that organoclay layers and elastomer particles were dispersed separately in nylon 6 matrix. In the binary nanocomposite, no noticeable plastic deformation was observed around the crack tip. In the ternary nanocomposites, the presence of organoclay in the matrix provided maximum reinforcement to the polymer, while their absence in the elastomer particles allowed the latter to promote high fracture toughness via particle cavitation and subsequent matrix shear yielding. The partially exfoliated clay layers also delaminated and hence, adding to the total toughness of the nanocomposites.