Algebraic analysis of stable coherent systems

• Pascual-Ortigosa, P. ^[1] ; R. Iglesias ^[1] ; E. Sáenz-de-Cabezón ^[1]
  1. [1] Universidad de La Rioja

     Universidad de La Rioja

     Logroño, España

     
• Localización: EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones / coord. por Carlos Galindo Pastor , Philippe Giménez , Fernando Javier Hernando Carrillo, F. Monserrat Delpalillo , Julio José Moyano Fernández, 2023, ISBN 978-84-19647-46-7, págs. 135-138
• Idioma: inglés
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• Resumen

  • We define several notions of stability for coherent systems, and give two algebraic methods for computing the reliability of stable coherent systems. The approach we use is based on the algebraic approach to system reliability and uses Mayer-Vietoris trees and involutive bases as the main tools. We demonstrate that this approach is computationally e!cient giving some computer experiments.