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    Wyświetlanie 1-5 z 5
    Tytuł:
    Max-plus algebra as a tool to modelling and performance analysis of manufacturing systems
    Autorzy:
    Stańczyk, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/406488.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    discrete event system
    max-plus algebra
    performance evaluation
    manufacturing systems
    Opis:
    This contribution discusses the usefulness of (max, +) algebra as a mathematical framework for a class of manufacturing systems. This class can be described as dynamic and asynchronous, where the state transitions are initiated by events that occur at di screte instants of time. An event corresponds to the start or the end of an activity. Such systems are known as discrete event systems (DES). An overview of the concepts of modelling and analysis using the (max, +) algebra approach to DES has been given. Also, examples of manufacturing systems have been provided to illustrate the potential of this approach. The type of production process used, such as serial line, assembly line, etc., influences the modelling of different basic manufacturing systems. We have also presented the impact of the capacity of interoperable buffers. Based on an analytical model, effectiveness and performance indexes have been evaluated.
    Źródło:
    Operations Research and Decisions; 2018, 28, 3; 77-97
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zastosowanie max-plus algebry w modelowaniu i analizie efektywności systemów produkcyjnych
    Max-plus algebra application for production systems modelling and performance evaluation
    Autorzy:
    Stańczyk, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/339675.pdf
    Data publikacji:
    2017
    Wydawca:
    Polskie Towarzystwo Zarządzania Produkcją
    Tematy:
    dyskretne systemy zdarzeniowe
    max-plus algebra
    analiza efektywności
    discrete event systems
    performance evaluation
    Opis:
    In response to increased competition, manufacturing systems are becoming more complex in order to provide the flexibility and responsiveness required by the market. The increased complexity requires decision support tools that can provide insight into the effect of system changes on performance in an efficient and timely manner. This contribution discusses the usefulness of (max, +) algebra as a mathematical framework for a class of production systems. The class can be described as a dynamic and asynchronous where the state transitions are initiated by events that occur at discrete instants of time. An event corresponds to the start or the end of an activity. A common property of such examples is that the start of an activity depends on termination of several other activities. Such systems are known as discrete event systems (DES). In the paper an overview of the modeling and analysis concepts of the (max, +) algebra approach for DES is given. Also, an application examples from manufacturing systems are provided to illustrate the potential of this approach. Considered systems have been represented as (max, +) algebraic state space models. How to model different basic manufacturing systems depends on production type, like serial line, assembly line, etc. as well as impact of capacity of interoperable buffers have been presented. Based on an analytical model, effectiveness evaluation or performance indexes have been calculated for different configurations of the same production system. So, finally the best solution, for given criteria, has been obtained. All exemplary calculations have been made using the Max-Plus Algebra Toolbox for Matlab, the software package developed by author and available on his homepage.
    Źródło:
    Zarządzanie Przedsiębiorstwem; 2017, 20, 3; 46-53
    1643-4773
    Pojawia się w:
    Zarządzanie Przedsiębiorstwem
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Character analysis on linear elementary algebra with max-plus operation
    Autorzy:
    Kalfin, Kalfin
    Jufra, Jufra
    Muhtar, Norma
    Subiyanto, Subiyanto
    Supian, Sudradjat
    Powiązania:
    https://bibliotekanauki.pl/articles/1177763.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Max-Plus Algebra
    eigenvalues and eigenvectors
    matrix
    vector space
    Opis:
    This paper discusses the further characteristic that exists in max-plus algebra by comparing the characteristics that exist in ordinary linear algebra. The steps taken are to examine what happens to linear algebra, then applied to max-plus algebra with respect to the existing operations. Characteristics of matrix operations and differences that occur in linear algebra and are met in max-plus algebra with max and plus operations. However, max-plus algebra does not satisfy the vector space characteristics.
    Źródło:
    World Scientific News; 2018, 100; 110-123
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Towards robust predictive fault-tolerant control for a battery assembly system
    Autorzy:
    Seybold, L.
    Witczak, M.
    Majdzik, P.
    Stetter, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/330359.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    max-plus algebra
    interval analysis
    battery assembly
    model predictive control
    fault tolerant control
    analiza interwałowa
    sterowanie predykcyjne
    sterowanie tolerujące uszkodzenia
    Opis:
    The paper deals with the modeling and fault-tolerant control of a real battery assembly system which is under implementation at the RAFI GmbH company (one of the leading electronic manufacturing service providers in Germany). To model and control the battery assembly system, a unified max-plus algebra and model predictive control framework is introduced. Subsequently, the control strategy is enhanced with fault-tolerance features that increase the overall performance of the production system being considered. In particular, it enables tolerating (up to some degree) mobile robot, processing and transportation faults. The paper discusses also robustness issues, which are inevitable in real production systems. As a result, a novel robust predictive fault-tolerant strategy is developed that is applied to the battery assembly system. The last part of the paper shows illustrative examples, which clearly exhibit the performance of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 849-862
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hybrid modelling and performance evaluation of switched discrete-event systems
    Autorzy:
    Wang, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970351.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    układ zespolony
    układ komutowany
    modelowanie hybrydowe
    zachowanie okresowe
    ocena działania systemu
    complex systems
    switched systems
    discrete event systems
    max-plus algebra
    hybrid modelling
    periodic behavior
    performance evaluation
    Opis:
    Motivated by the integrated complexity of real-time intelligent control and optimization of industrial/manufacturing processes, this paper discusses hybrid modelling and asymptotic periodic behavior of a class of switched discrete event systems, and shows how to evaluate the asymptotic performance/efficiency of such systems. We prove that, under some mild conditions, the switched discrete event system will achieve asymptotic periodic dynamics, and its performance/efficiency can be evaluated by calculating the eigenvalue of certain matrix in max-plus algebra. Illustrative examples are provided.
    Źródło:
    Control and Cybernetics; 2004, 33, 2; 311-321
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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