scholarly journals A geometric process repair model for a series repairable system with k dissimilar components

2007 ◽  
Vol 31 (9) ◽  
pp. 1997-2007 ◽  
Author(s):  
Yuan Lin Zhang ◽  
Guan Jun Wang

Author(s):  
Raosaheb V. Latpate ◽  
Babasaheb K. Thorve

In this paper, we consider the arithmetico-geometric process (AGP) repair model. Here, the system has two nonidentical component cold standby repairable system with one repairman. Under this study, component 1 has given priority in use. It is assumed that component 2 after repair is as good as new, whereas the component 1 follows AGP. Under these assumptions, by using AGP repair model, we present a replacement policy based on number of failures, [Formula: see text], of component 1 such that long-run expected reward per unit time is maximized. For this policy, system can be replaced when number of failure of the component 1 reaches to [Formula: see text]. Working time of the component 1 is AGP and it is stochastically decreasing whereas repair time of the component 1 is AGP which is stochastically increasing. The expression for long-run expected reward per unit time for a renewal cycle is derived and illustrated proposed policy with numerical examples by assuming Weibull distributed working time and repair time of the component 1. Also, proposed AGP repair model is compared with the geometric process repair model.





2019 ◽  
Vol 30 (03) ◽  
pp. 613-623
Author(s):  
Junyuan Wang ◽  
◽  
Jimin Ye ◽  
Pengfei Xie ◽  
◽  
...  


2021 ◽  
Vol 32 (3) ◽  
pp. 631-641
Author(s):  
Ma Ning ◽  
Ye Jimin ◽  
Wang Junyuan


2016 ◽  
Vol 244 (1) ◽  
pp. 49-66 ◽  
Author(s):  
Caiyun Niu ◽  
Xiaolin Liang ◽  
Bingfeng Ge ◽  
Xue Tian ◽  
Yingwu Chen


Author(s):  
George C. Ruben

The formation of shadows behind small particles has been thought to be a geometric process (GP) where the metal cap build up on the particle creates a shadow width the same size as or larger than the particle. This GP cannot explain why gold particle shadow widths are generally larger than the gold particle and may have no appreciable metal cap build up (fig. 1). Ruben and Telford have suggested that particle shadow widths are formed by the width dependent deflection of shadow metal (SM) lateral to and infront of the particle. The trajectory of the deflected SM is determined by the incoming shadow angle (45°). Since there can be up to 1.4 times (at 45°) more SM directly striking the particle than the film surface, a ridge of metal nuclei lateral to and infront of the particle can be formed. This ridge in turn can prevent some SM from directly landing in the metal free shadow area. However, the SM that does land in the shadow area (not blocked by the particle or its ridge) does not stick and apparently surface migrates into the SM film behind the particle.





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