Negotiation of extended warranties for medical equipment

Guedes, Bruno Nunes; Moura, Márcio das Chagas; Lins, Isis Didier; Zaidan, Hala; Morais, Danielle Costa; Droguett, Enrique López; Pascual, Rodrigo

doi:10.1201/b19094-130

Cited by 1 publication

(1 citation statement)

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“…With help of a contrast agent, doctors can visualize blood vessels and blood flow [38,39]. The times between failures (in days) of the considered angiograph are in Table 1 (to be read across the row).…”

Section: Data Set #1: Angiographmentioning

confidence: 99%

Combining Generalized Renewal Processes with Non-Extensive Entropy-Based q-Distributions for Reliability Applications

Lins

Moura

Droguett

et al. 2018

Entropy

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Abstract:The Generalized Renewal Process (GRP) is a probabilistic model for repairable systems that can represent the usual states of a system after a repair: as new, as old, or in a condition between new and old. It is often coupled with the Weibull distribution, widely used in the reliability context. In this paper, we develop novel GRP models based on probability distributions that stem from the Tsallis' non-extensive entropy, namely the q-Exponential and the q-Weibull distributions. The q-Exponential and Weibull distributions can model decreasing, constant or increasing failure intensity functions. However, the power law behavior of the q-Exponential probability density function for specific parameter values is an advantage over the Weibull distribution when adjusting data containing extreme values. The q-Weibull probability distribution, in turn, can also fit data with bathtub-shaped or unimodal failure intensities in addition to the behaviors already mentioned. Therefore, the q-Exponential-GRP is an alternative for the Weibull-GRP model and the q-Weibull-GRP generalizes both. The method of maximum likelihood is used for their parameters' estimation by means of a particle swarm optimization algorithm, and Monte Carlo simulations are performed for the sake of validation. The proposed models and algorithms are applied to examples involving reliability-related data of complex systems and the obtained results suggest GRP plus q-distributions are promising techniques for the analyses of repairable systems.

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Section: Data Set #1: Angiographmentioning

confidence: 99%