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Application des lois non paramétriques dans les systèmes d’attente et la théorie de renouvellement

Smail Adjabi, Karima Lagha, Amar Aïssani (2004)

RAIRO - Operations Research - Recherche Opérationnelle

Les distributions non paramétriques de survie trouvent, de plus en plus, des applications dans des domaines très variés, à savoir : théorie de fiabilité et analyse de survie, files d’attente, maintenance, gestion de stock, théorie de l’économie, ... L’objet de ce travail est d’utiliser les bornes inférieures et supérieures (en terme de la moyenne) des fonctions de fiabilité appartenant aux classes de distribution de type I F R , D F R , N B U et N W U , présentées par Sengupta (1994), pour l’évaluation de certaines caractéristiques....

Application des lois non paramétriques dans les systèmes d'attente et la théorie de renouvellement

Smail Adjabi, Karima Lagha, Amar Aïssani (2010)

RAIRO - Operations Research

Les distributions non paramétriques de survie trouvent, de plus en plus, des applications dans des domaines très variés, à savoir: théorie de fiabilité et analyse de survie, files d'attente, maintenance, gestion de stock, théorie de l'économie, ... L'objet de ce travail est d'utiliser les bornes inférieures et supérieures (en terme de la moyenne) des fonctions de fiabilité appartenant aux classes de distribution de type IFR, DFR, NBU et NWU, présentées par Sengupta (1994), pour l'évaluation de...

Approximation of Reliability for a large system with non-markovian repair-times

Jean-Louis Bon, Jean Bretagnolle (2010)

ESAIM: Probability and Statistics

Consider a system of many components with constant failure rate and general repair rate. When all components are reliable and easily reparable, the reliability of the system can be evaluated from the probability q of failure before restoration. In [14], authors give an asymptotic approximation by monotone sequences. In the same framework, we propose, here, a bounding for q and apply it in the ageing property case.

Binary integer programming solution for troubleshooting with dependent actions

Václav Lín (2017)

Kybernetika

We deal with a sequencing problem that arises when there are multiple repair actions available to fix a broken man-made system and the true cause of the system failure is uncertain. The system is formally described by a probabilistic model, and it is to be repaired by a sequence of troubleshooting actions designed to identify the cause of the malfunction and fix the system. The task is to find a course of repair with minimal expected cost. We propose a binary integer programming formulation for...

Cálculo de la distribución del tiempo de vida de componentes mediante autopsia en sistemas binarios aditivos, serie-paralelo y paralelo-serie.

Fermín Mallor Giménez, Cristina Azcárate Camio, Antonio Pérez Prados (1997)

Qüestiió

En este artículo se estudia el problema de determinar la función de distribución del tiempo de vida de las componentes de un sistema binario, a partir del conocimiento de las leyes que rigen el funcionamiento del sistema y del conjunto de componentes que causa su fallo (obtenida mediante autopsia del sistema en el momento de su deterioro).Se presentan los resultados de Meilijson (1981) y Nowik (1990) que proponen un sistema de ecuaciones implícito para obtener estas distribuciones. Sin embargo,...

Characterization of the first operating period of a two-unit standby redundant system with three states of units

Antonín Lešanovský (1982)

Aplikace matematiky

A two-unit cold-standby redundant system with one repair facility is considered. Each unit can be in three states: good (I), degraded (II), and failed (III). We suppose that only the following state-transitions af a unit are possible: I → I I , I I → I I I , I I → I , I I I → I . The paper is devoted to the problems which arise only provided that the units of the redundant system can be in more than two states (i.e. in operating and failed states). The following characteristics dealing with a single operating period of the system are studied...

Comparison of order statistics in a random sequence to the same statistics with I.I.D. variables

Jean-Louis Bon, Eugen Păltănea (2006)

ESAIM: Probability and Statistics

The paper is motivated by the stochastic comparison of the reliability of non-repairable k -out-of- n systems. The lifetime of such a system with nonidentical components is compared with the lifetime of a system with identical components. Formally the problem is as follows. Let U i , i = 1 , . . . , n , be positive independent random variables with common distribution F . For λ i > 0 and μ > 0 , let consider X i = U i / λ i and Y i = U i / μ , i = 1 , . . . , n . Remark that this is no more than a change of scale for each term. For k ∈ { 1 , 2 , . . . , n } , let us define X k : n to be the k th order statistics...

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