16,430 research outputs found

    Worst Case Reliability Prediction Based on a Prior Estimate of Residual Defects

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    In this paper we extend an earlier worst case bound reliability theory to derive a worst case reliability function R(t), which gives the worst case probability of surviving a further time t given an estimate of residual defects in the software N and a prior test time T. The earlier theory and its extension are presented and the paper also considers the case where there is a low probability of any defect existing in the program. For the "fractional defect" case, there can be a high probability of surviving any subsequent time t. The implications of the theory are discussed and compared with alternative reliability models

    A Methodology for Safety Case Development

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    This paper will outline a safety case methodology that seeks to minimise safety risks and commercial risks by constructing a demonstrable safety case. The safety case ideas presented here were initially developed in an EU-sponsored SHIP project [1] and was then further developed in the UK Nuclear Safety Research Programme (the QUARC Project [2]). Some of these concepts have subsequently been incorporated in safety standards such as MOD Def Stan 00-55, and have also been used to establish specific safety cases for clients. A generalisation of the concepts also appears in Def Stan 00-42 Part 2, in the form of the software reliability case

    Systematic Inclusion of High-Order Multi-Spin Correlations for the Spin-121\over2 XXZXXZ Models

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    We apply the microscopic coupled-cluster method (CCM) to the spin-121\over2 XXZXXZ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us previously, we carry out high-order {\it ab initio} calculations using computer-algebraic techniques. The ground-state properties of the models are obtained with high accuracy as functions of the anisotropy parameter. Furthermore, our CCM analysis enables us to study their quantum critical behavior in a systematic and unbiased manner.Comment: (to appear in PRL). 4 pages, ReVTeX, two figures available upon request. UMIST Preprint MA-000-000

    Influence of quantum fluctuations on zero-temperature phase transitions between collinear and noncollinear states in frustrated spin systems

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    We study a square-lattice spin-half Heisenberg model where frustration is introduced by competing nearest-neighbor bonds of different signs. We discuss the influence of quantum fluctuations on the nature of the zero-temperature phase transitions from phases with collinear magnetic order at small frustration to phases with noncollinear spiral order at large frustration. We use the coupled cluster method (CCM) for high orders of approximation (up to LSUB6) and the exact diagonalization of finite systems (up to 32 sites) to calculate ground-state properties. The role of quantum fluctuations is examined by comparing the ferromagnetic-spiral and the antiferromagnetic-spiral transition within the same model. We find clear evidence that quantum fluctuations prefer collinear order and that they may favour a first order transition instead of a second order transition in case of no quantum fluctuations.Comment: 6 pages, 6 Postscipt figures; Accepted for publication in Phys. Rev.

    Optical alignment system Patent

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    Electro-optical/computer system for aligning large structural members and maintaining correct positio
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