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Ellen J. Bass - One of the best experts on this subject based on the ideXlab platform.

  • evaluating human human communication protocols with miscommunication generation and model checking
    NASA Formal Methods Symposium, 2013
    Co-Authors: Matthew L Bolton, Ellen J. Bass
    Abstract:

    Human-human communication is critical to safe operations in domains such as air transportation where airlines develop and train pilots on communication procedures with the goal to ensure that they check that verbal air traffic clearances are correctly heard and executed. Such communication protocols should be designed to be robust to miscommunication. However, they can fail in ways unanticipated by designers. In this work, we present a method for modeling human-human communication protocols using the Enhanced Operator Function Model with Communications (EOFMC), a task analytic modeling formalism that can be interpreted by a model checker. We describe how miscommunications can be generated from instantiated EOFMC models of human-human communication protocols. Using an air transportation example, we show how model checking can be used to evaluate if a given protocol will ensure successful communication. Avenues of future research are explored.

  • a systematic approach to model checking human automation interaction using task analytic models
    Systems Man and Cybernetics, 2011
    Co-Authors: Matthew L Bolton, Radu I Siminiceanu, Ellen J. Bass
    Abstract:

    Formal methods are typically used in the analysis of complex system components that can be described as “automated” (digital circuits, devices, protocols, and software). Human-automation interaction has been linked to system failure, where problems stem from human Operators interacting with an automated system via its controls and information displays. As part of the process of designing and analyzing human-automation interaction, human factors engineers use task analytic models to capture the descriptive and normative human Operator behavior. In order to support the integration of task analyses into the formal verification of larger system models, we have developed the enhanced Operator Function model (EOFM) as an Extensible Markup Language-based, platform- and analysis-independent language for describing task analytic models. We present the formal syntax and semantics of the EOFM and an automated process for translating an instantiated EOFM into the model checking language Symbolic Analysis Laboratory. We present an evaluation of the scalability of the translation algorithm. We then present an automobile cruise control example to illustrate how an instantiated EOFM can be integrated into a larger system model that includes environmental features and the human Operator's mission. The system model is verified using model checking in order to analyze a potentially hazardous situation related to the human-automation interaction.

  • enhanced Operator Function model a generic human task behavior modeling language
    Systems Man and Cybernetics, 2009
    Co-Authors: Matthew L Bolton, Ellen J. Bass
    Abstract:

    Task analytic models are extremely useful for human factors and systems engineers. Unfortunately, there is no standard language for describing task models. We present an xml-based task analytic modeling language. The language incorporates features from Operator Function Model and extends them with additional task sequencing options and conditional constraints. This language's use is illustrated via a radio alarm clock example. In addition, parsing, visualization, and development tools are discussed.

Matthew L Bolton - One of the best experts on this subject based on the ideXlab platform.

  • model checking human human communication protocols using task models and miscommunication generation
    Journal of Aerospace Information Systems, 2015
    Co-Authors: Matthew L Bolton
    Abstract:

    Human–human communication is critical to safe operations in air transportation systems. For example, airlines develop and train pilots to use communication protocols designed to ensure that verbally communicated air traffic clearances are correctly executed by the pilots. Given the safety criticality of such interactions, these protocols should be designed to be robust to miscommunication. However, designers may not anticipate all of the different ways that miscommunication can occur. Thus, communication protocols can fail. This paper presents a method for evaluating human–human communication protocols using the enhanced Operator Function model with communications, which is a task analytic modeling formalism that can be used in model-checking formal verification analyses. In particular, a novel means of generating miscommunications from normative human–human communication protocols, instantiated as enhanced Operator Function models with communications, is introduced. An air transportation example is used ...

  • evaluating human human communication protocols with miscommunication generation and model checking
    NASA Formal Methods Symposium, 2013
    Co-Authors: Matthew L Bolton, Ellen J. Bass
    Abstract:

    Human-human communication is critical to safe operations in domains such as air transportation where airlines develop and train pilots on communication procedures with the goal to ensure that they check that verbal air traffic clearances are correctly heard and executed. Such communication protocols should be designed to be robust to miscommunication. However, they can fail in ways unanticipated by designers. In this work, we present a method for modeling human-human communication protocols using the Enhanced Operator Function Model with Communications (EOFMC), a task analytic modeling formalism that can be interpreted by a model checker. We describe how miscommunications can be generated from instantiated EOFMC models of human-human communication protocols. Using an air transportation example, we show how model checking can be used to evaluate if a given protocol will ensure successful communication. Avenues of future research are explored.

  • a systematic approach to model checking human automation interaction using task analytic models
    Systems Man and Cybernetics, 2011
    Co-Authors: Matthew L Bolton, Radu I Siminiceanu, Ellen J. Bass
    Abstract:

    Formal methods are typically used in the analysis of complex system components that can be described as “automated” (digital circuits, devices, protocols, and software). Human-automation interaction has been linked to system failure, where problems stem from human Operators interacting with an automated system via its controls and information displays. As part of the process of designing and analyzing human-automation interaction, human factors engineers use task analytic models to capture the descriptive and normative human Operator behavior. In order to support the integration of task analyses into the formal verification of larger system models, we have developed the enhanced Operator Function model (EOFM) as an Extensible Markup Language-based, platform- and analysis-independent language for describing task analytic models. We present the formal syntax and semantics of the EOFM and an automated process for translating an instantiated EOFM into the model checking language Symbolic Analysis Laboratory. We present an evaluation of the scalability of the translation algorithm. We then present an automobile cruise control example to illustrate how an instantiated EOFM can be integrated into a larger system model that includes environmental features and the human Operator's mission. The system model is verified using model checking in order to analyze a potentially hazardous situation related to the human-automation interaction.

  • enhanced Operator Function model a generic human task behavior modeling language
    Systems Man and Cybernetics, 2009
    Co-Authors: Matthew L Bolton, Ellen J. Bass
    Abstract:

    Task analytic models are extremely useful for human factors and systems engineers. Unfortunately, there is no standard language for describing task models. We present an xml-based task analytic modeling language. The language incorporates features from Operator Function Model and extends them with additional task sequencing options and conditional constraints. This language's use is illustrated via a radio alarm clock example. In addition, parsing, visualization, and development tools are discussed.

Vladimir Matsaev - One of the best experts on this subject based on the ideXlab platform.

  • self adjoint analytic Operator Functions local spectral Function and inner linearization
    Integral Equations and Operator Theory, 2009
    Co-Authors: Heinz Langer, Alexander Markus, Vladimir Matsaev
    Abstract:

    In this note we continue the study of spectral properties of a self-adjoint analytic Operator Function A(z) that was started in [5]. It is shown that if A(z) satisfies the Virozub–Matsaev condition on some interval Δ0 and is boundedly invertible in the endpoints of Δ0, then the ‘embedding’ of the original Hilbert space \({\mathcal{H}}\) into the Hilbert space \({\mathcal{F}}\), where the linearization of A(z) acts, is in fact an isomorphism between a subspace \({\mathcal{H}}(\Delta_{0})\) of \({\mathcal{H}}\) and \({\mathcal{F}}\). As a consequence, properties of the local spectral Function of A(z) on Δ0 and a so-called inner linearization of the Operator Function A(z) in the subspace \({\mathcal{H}}(\Delta_{0})\) are established.

  • self adjoint analytic Operator Functions and their local spectral Function
    Journal of Functional Analysis, 2006
    Co-Authors: Heinz Langer, Alexander Markus, Vladimir Matsaev
    Abstract:

    For a self-adjoint analytic Operator Function A(λ), which satisfies on some interval Δ of the real axis the Virozub–Matsaev condition, a local spectral Function Q on Δ, the values of which are non-negative Operators, is introduced and studied. In the particular case that A(λ)=λI−A with a self-adjoint Operator A, it coincides with the orthogonal spectral Function of A. An essential tool is a linearization of A(λ) by means of a self-adjoint Operator in some Krein space and the local spectral Function of this linearization. The main results of the paper concern properties of the range of Q(Δ) and the description of a natural complement of this range.

Heinz Langer - One of the best experts on this subject based on the ideXlab platform.

  • self adjoint analytic Operator Functions local spectral Function and inner linearization
    Integral Equations and Operator Theory, 2009
    Co-Authors: Heinz Langer, Alexander Markus, Vladimir Matsaev
    Abstract:

    In this note we continue the study of spectral properties of a self-adjoint analytic Operator Function A(z) that was started in [5]. It is shown that if A(z) satisfies the Virozub–Matsaev condition on some interval Δ0 and is boundedly invertible in the endpoints of Δ0, then the ‘embedding’ of the original Hilbert space \({\mathcal{H}}\) into the Hilbert space \({\mathcal{F}}\), where the linearization of A(z) acts, is in fact an isomorphism between a subspace \({\mathcal{H}}(\Delta_{0})\) of \({\mathcal{H}}\) and \({\mathcal{F}}\). As a consequence, properties of the local spectral Function of A(z) on Δ0 and a so-called inner linearization of the Operator Function A(z) in the subspace \({\mathcal{H}}(\Delta_{0})\) are established.

  • self adjoint analytic Operator Functions and their local spectral Function
    Journal of Functional Analysis, 2006
    Co-Authors: Heinz Langer, Alexander Markus, Vladimir Matsaev
    Abstract:

    For a self-adjoint analytic Operator Function A(λ), which satisfies on some interval Δ of the real axis the Virozub–Matsaev condition, a local spectral Function Q on Δ, the values of which are non-negative Operators, is introduced and studied. In the particular case that A(λ)=λI−A with a self-adjoint Operator A, it coincides with the orthogonal spectral Function of A. An essential tool is a linearization of A(λ) by means of a self-adjoint Operator in some Krein space and the local spectral Function of this linearization. The main results of the paper concern properties of the range of Q(Δ) and the description of a natural complement of this range.

Zhang Zhimin - One of the best experts on this subject based on the ideXlab platform.

  • Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
    'Springer Science and Business Media LLC', 2021
    Co-Authors: Xiao Wenqiang, Bo Gong, Sun Jiguang, Zhang Zhimin
    Abstract:

    Band structure calculation of frequency dependent photonic crystals has important applications. The associated eigenvalue problem is nonlinear and the development of convergent numerical methods is challenging. In this paper, we formulate the band structure problem as the eigenvalue problem of a holomorphic Fredholm Operator Function of index zero. Lagrange finite elements are used to discretize the Operators. The convergence of the eigenvalues is proved using the abstract approximation theory for holomorphic Operator Functions. Then a spectral indicator method is developed to practically compute the eigenvalues. Numerical examples are presented to validate the theory and show the effectiveness of the proposed method

  • A new finite element approach for the Dirichlet eigenvalue problem
    2020
    Co-Authors: Xiao Wenqiang, Bo Gong, Sun Jiguang, Zhang Zhimin
    Abstract:

    In this paper, we propose a new finite element approach, which is different than the classic Babuska-Osborn theory, to approximate Dirichlet eigenvalues. The Dirichlet eigenvalue problem is formulated as the eigenvalue problem of a holomorphic Fredholm Operator Function of index zero. Using conforming finite elements, the convergence is proved using the abstract approximation theory for holomorphic Operator Functions. The spectral indicator method is employed to compute the eigenvalues. A numerical example is presented to validate the theory

  • A new finite element approach for the Dirichlet eigenvalue problem
    'Elsevier BV', 2020
    Co-Authors: Xiao Wenqiang, Bo Gong, Sun Jiguang, Zhang Zhimin
    Abstract:

    We propose a new finite element approach, which is different than the classic Babuška–Osborn theory, to approximate Dirichlet eigenvalues. The problem is formulated as the eigenvalue problem of a holomorphic Fredholm Operator Function of index zero. The convergence for conforming finite elements is proved using the abstract approximation theory for holomorphic Operator Functions. The spectral indicator method is employed to compute the eigenvalues. A numerical example is presented to validate the theory