Basic Probability Theory

Birolini, Alessandro

doi:10.1007/978-3-662-03792-8_14

Cited by 21 publications

(34 citation statements)

References 4 publications

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“…In order to shift from constant predictive reliability parameters to time-dependent field-based figures, the Weibull distribution has been chosen to describe the behavior of an electronic railway signaling system, identified as use-case (Lyonnet 1992, Birolini 2007. The Weibull distribution, widely used in life data analysis, is mathematically defined by its pdf (Probability Density Function) equation:…”

Section: Use-case Definitionmentioning

confidence: 99%

“…These comprise the three sections of the classic "bathtub curve". A mixed Weibull distribution with one subpopulation with β < 1, another with β = 1 and a third one with β > 1 would have a failure rate plot identical to the bathtub curve (Lyonnet 1992, Birolini 2007. Since the number of field-return data needs to be relevant to determine significant Weibull parameters, the reference use-case is a signaling system based on electronic boards already deployed and in revenue service since years.…”

Section: Use-case Definitionmentioning

confidence: 99%

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Application of the Weibull distribution for the optimization of maintenance policies of an electronic railway signaling system

Pascale¹,

Freneaux

Sista³

et al. 2017

Safety and Reliability – Theory and Applications

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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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Section: Use-case Definitionmentioning

confidence: 99%

Section: Use-case Definitionmentioning

confidence: 99%

Application of the Weibull distribution for the optimization of maintenance policies of an electronic railway signaling system

Pascale¹,

Freneaux

Sista³

et al. 2017

Safety and Reliability – Theory and Applications

View full text Add to dashboard Cite

show abstract

“…The use of Weibull distribution models only allows to describe simple product failures and to identify different damage phases or behaviours in a product life cycle (Birolini, 2007). Furthermore, the second part of the impact of the use phase is the end of the product's life cycle.…”

Section: Impact Of Use Phasementioning

confidence: 99%

CDMF-RELSUS concept: reliable products are sustainable products - influences on product design, manufacturing and use phase

Bracke

Michalski

Inoue

et al. 2013

IJSM

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Based on the customer's product recognition, sustainability and environmental protection become key sales arguments within the automotive industry. The customer expects reduced resource consumptions, environmental friendly manufacturing and a long usage phase. Especially product reliability saves resources in many ways. Manufacturer product reliability is associated with higher development and production costs, but, especially in industries with high innovation rates, customer usage is limited to the product actuality, which leads to two key questions: a) How much product reliability makes sense out of the view of manufacturers, customers and environmental protection? b) What is the impact of reliable products regarding the reduction of resources? This paper outlines the 'Collaborative development, manufacturing and field verification for higher product reliability towards sustainability (CDMF-RELSUS) concept' focusing on influences and interdependences of product development, manufacturing planning and field observation regarding the successor development including the combination of reliable and sustainable product characteristics.

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“…The literature on maintenance is vast, including Reliability Engineering [4][5][6][7][8][9][10][11][12], maintenance policies and modelling [13][14][15][16][17][18][19][20], and optimal preventive maintenance intervals [21][22][23][24]. However, fewer papers address the problem of uncertainty in lifetime distribution [25][26][27][28], either by analysing several time-based maintenance policies having uncertainty in the parameters of the lifetime distribution [29] or using right-censored data [30], and adopt the Markovian approach of transition between states (operational, preventive, and corrective maintenance intervention) [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Optimisation of Maintenance Policies Based on Right-Censored Failure Data Using a Semi-Markovian Approach

Sánchez-Herguedas

Nieto

Rodrigo-Muñoz

et al. 2022

Sensors

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This paper exposes the existing problems for optimal industrial preventive maintenance intervals when decisions are made with right-censored data obtained from a network of sensors or other sources. A methodology based on the use of the z transform and a semi-Markovian approach is presented to solve these problems and obtain a much more consistent mathematical solution. This methodology is applied to a real case study of the maintenance of large marine engines of vessels dedicated to coastal surveillance in Spain to illustrate its usefulness. It is shown that the use of right-censored failure data significantly decreases the value of the optimal preventive interval calculated by the model. In addition, that optimal preventive interval increases as we consider older failure data. In sum, applying the proposed methodology, the maintenance manager can modify the preventive maintenance interval, obtaining a noticeable economic improvement. The results obtained are relevant, regardless of the number of data considered, provided that data are available with a duration of at least 75% of the value of the preventive interval.

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Basic Probability Theory

Cited by 21 publications

References 4 publications

Application of the Weibull distribution for the optimization of maintenance policies of an electronic railway signaling system

Application of the Weibull distribution for the optimization of maintenance policies of an electronic railway signaling system

CDMF-RELSUS concept: reliable products are sustainable products - influences on product design, manufacturing and use phase

Optimisation of Maintenance Policies Based on Right-Censored Failure Data Using a Semi-Markovian Approach

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