scholarly journals A Formula for the Reliability of a d-Dimensional Consecutive-k-out-of-n:F System

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Simon Cowell
Keyword(s):  

We derive a formula for the reliability of a d-dimensional consecutive-k-out-of-n:F system, that is, a formula for the probability that an n1×⋯×nd array whose entries are (independently of each other) 0 with probability p and 1 with probability q=1-p does not include a contiguous s1×⋯×sd subarray whose every entry is 1.

1978 ◽  
Vol 33 (10) ◽  
pp. 1239-1240
Author(s):  
J. de Bruijn ◽  
J. H. Dettingmeijer

Abstract Based on equilibrium calculations on the W-O-F system [6], in which WO2F2 was found to be the predominant low temperature species, an attempt was made to synthesize WO2F2 from WO2 + NF3.However, yields of WOF4 instead of WO2F2 were obtained. This discrepancy between theory and experiment is shown to be due to an error in the estimation of the thermodynamic data of WO2F2 [1].


2008 ◽  
Vol 4 (2) ◽  
pp. 161-174
Author(s):  
Mohammad Khanjari Sadegh ◽  
Bagher Moghaddaszadeh ◽  
◽  

Author(s):  
Y. Amirian ◽  
A. Khodadadi

The consecutive linear [Formula: see text]-out-of-[Formula: see text]-from-[Formula: see text]:F system consists of [Formula: see text] linear ordered components and the consecutive circular [Formula: see text]-out-of-[Formula: see text]-from-[Formula: see text]:F system consists of [Formula: see text] circular ordered components. In this paper, we suggest, for the first time, modeling and exact reliability for these models. The linear system fails if and only if there exists a [Formula: see text]-order statistic of [Formula: see text]-consecutive [Formula: see text] [Formula: see text] of components in the failed state, [Formula: see text], [Formula: see text]; and the circular system fails if and only if there exists a [Formula: see text]-order statistic of [Formula: see text]-consecutive [Formula: see text] [Formula: see text] of components in the failed state, [Formula: see text], [Formula: see text]. In this paper, we designed an innovative algorithm to obtain the exact reliability for an extensive class of consecutive linear and circular systems. In continuation, there are the MATLAB Programs of exact reliability for consecutive linear and circular systems. In the following, we applied comparative and numerical results and calculated the exact reliability of this strategic systems. Finally, we calculated the exact reliability for two real-world practical examples.


1988 ◽  
Vol 25 (04) ◽  
pp. 772-779 ◽  
Author(s):  
S. Papastavridis ◽  
I. Hadzichristos
Keyword(s):  

General exact formulas are established to calculate the reliability of a consecutive-k-out-of-n: F system. The optimality of the system, under permutation of the components, is examined too.


Agriculture ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 130
Author(s):  
Maria Gentz ◽  
Anita Lange ◽  
Sebastian Zeidler ◽  
Christian Lambertz ◽  
Matthias Gauly ◽  
...  

This study aimed to investigate the effects of farrowing and rearing systems on tail lesions and losses of docked and undocked pigs. Pigs from three farrowing systems: Conventional farrowing crate (FC), free farrowing (FF) and group housing of lactating sows (GH) were randomly allocated to different rearing systems: A conventional system (CONV), where the pigs were regrouped and transferred to conventional finishing pens at ten weeks of age or a wean-to-finish (W-F) system, where the pigs remained in their pens until slaughter with higher space allowance during rearing. Weekly, tail lesions and losses were assessed individually. The incidence of tail lesions was higher in undocked CONV pigs compared to undocked W-F pigs (maximum: CONV 58.01%, W-F 41.16%). The rearing system had a significant effect on tail losses at the end of finishing (CONV 67.63%, W-F 38.2%). The significant effect of the rearing system might be explained by higher space allowance during rearing and reduced regrouping stress for W-F pigs. In conclusion, farrowing systems showed no effects, but the W-F rearing system reduces the frequency of tail lesions and losses; the curves of tail lesions increased slower and stayed on a lower level, which resulted in lower losses as well.


2011 ◽  
Vol 35 (5) ◽  
pp. 2366-2373 ◽  
Author(s):  
Taha Radwan ◽  
A. Habib ◽  
R. Alseedy ◽  
A. Elsherbeny
Keyword(s):  

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