How reliable is satellite navigation for aviation? Checking availability properties with probabilistic verification

Yu, Lu; Peng, Zhaoguang; Miller, Alice; Zhao, Tingdi; Johnson, Christopher W.

doi:10.1016/j.ress.2015.07.020

Cited by 18 publications

(5 citation statements)

References 25 publications

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“…The per-satellite availability can be calculated using the Markov chain evaluation model, which takes into account the satellite failure and repair rates and can reflect the reliability of the satellite comprehensively (Clifford, 1999; Slattery and Kovach, 1999). Currently, exponential distribution models are often used to describe the reliabilities of satellites (Zheng and Ren, 2009; Wang et al, 2017; Zhou et al, 2014; Lu et al, 2015).…”

Section: Methodsmentioning

confidence: 99%

Evaluation of Signal-in-Space Continuity and Availability for BeiDou Satellite Considering Failures

Fan

Zheng

et al. 2019

J. Navigation

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Signal-in-space (SIS) continuity and availability are important indicators of performance assessment for Global Navigation Satellite Systems (GNSSs). The BeiDou Navigation Satellite System (BDS) Open Service Performance Standard (BDS-OS-PS-1.0) has been released, and the corresponding public performance indicators have been provided, but the actual SIS performance is uncertain to users. SIS continuity and availability are primarily related to unscheduled outages (failures). Therefore, based on the existing failure classification system and actual operation modes, four types of failure modes are first analysed: long-term failure related to satellite service period, maintenance failure related to satellite manoeuvring, short-term failure associated with random repairable anomalies and equivalent failure corresponding to a combination of the above three types of failures. Second, based on the failure classification and selected precise and broadcast ephemerides from 2015–2016, the Mean Time Between Failure (MTBF) and Mean Time To Repair (MTTR) of each failure type are obtained using appropriate detection methods. Finally, using a corresponding assessment model, the SIS continuity and availability of BeiDou are calculated for individual and equivalent failure cases, and these are compared with the provided index in the BDS Open Service Performance Standard.

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Section: Methodsmentioning

confidence: 99%

Evaluation of Signal-in-Space Continuity and Availability for BeiDou Satellite Considering Failures

Fan

Zheng

et al. 2019

J. Navigation

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“…Also, we have 5 types of communicating channels: a, b, c, d, e, which are used for transmitting messages between subsystems. rj denotes the reliability of transmission from the corresponding satellite to the monitor station and user, which is represented by reliability (probability) [8].…”

Section: Modeling Train Integrity Detection Process Based On Gnssmentioning

confidence: 99%

Train integrity detection risk analysis based on PRISM

Wen¹

2018

AIP Conference Proceedings

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Abstract. GNSS based Train Integrity Monitoring System (TIMS) is an effective and low-cost detection scheme for train integrity detection. However, as an external auxiliary system of CTCS, GNSS may be influenced by external environments, such as uncertainty of wireless communication channels, which may lead to the failure of communication and positioning. In order to guarantee the reliability and safety of train operation, a risk analysis method of train integrity detection based on PRISM is proposed in this article. First, we analyze the risk factors (in GNSS communication process and the on-board communication process) and model them. Then, we evaluate the performance of the model in PRISM based on the field data. Finally, we discuss how these risk factors influence the train integrity detection process.

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“…21,27 Similarly, the probabilistic model checker, PRISM, 28 has been used for the quantitative verification of various safety and mission-critical systems, such as failure analysis for an industrial product development workflow, 29 an airbag system, 30 and the reliability analysis of a global navigation satellite system that enables an aircraft to determine its position (latitude, longitude, and altitude). 31 However, owing to the statebased models, only state-related property verification, such as deadlock checks, reachability, or safety property verification, is supported by these approaches; i.e., we cannot verify generic reliability relationships for the given system using the approaches presented by Robidoux et al 21 or Norman and Parker. 30 A number of HOL formalizations of probability theory are available.…”

Section: Related Workmentioning

confidence: 99%

Formal reliability analysis of oil and gas pipelines

Ahmad

Hasan

Tahar

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part O:

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Depending on the operational environment, installation location, and aging of oil and gas pipelines, they are subject to various degradation mechanisms, such as cracking, corrosion, leaking, and thinning of the pipeline walls. Failure of oil and gas pipelines due to these degradation mechanisms can lead to catastrophic events, which, in the worst case, may result in the loss of human lives and huge financial losses. Traditionally, paper-and-pencil proof methods and Monte Carlo based computer simulations are used in the reliability analysis of oil and gas pipelines to identify potential threats and thus avoid unwanted failures. However, paper-and-pencil proof methods are prone to human error, especially when dealing with large systems, while simulation techniques primarily involve sampling-based methods, i.e., not all possible scenarios of the given systems are tested, which compromises the accuracy of the results. As an accurate alternative, we propose to use a higher-order-logic theorem proving for the reliability analysis of oil and gas pipelines. In particular, this paper presents the higher-order-logic formalization of commonly used reliability block diagrams (RBDs), such as series, parallel, series-parallel, and k-out-of-n, and provides an approach to utilize these formalized RBDs to assess the reliability of oil and gas pipelines. For illustration, we present a formal reliability analysis of a pipeline transportation subsystem used between the oil terminals at the Port of Gdynia, Poland, and Dębogó rze.

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How reliable is satellite navigation for aviation? Checking availability properties with probabilistic verification

Cited by 18 publications

References 25 publications

Evaluation of Signal-in-Space Continuity and Availability for BeiDou Satellite Considering Failures

Evaluation of Signal-in-Space Continuity and Availability for BeiDou Satellite Considering Failures

Train integrity detection risk analysis based on PRISM

Formal reliability analysis of oil and gas pipelines

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