Economic design under gamma shock model of the control chart for sustainable operations

2018 ◽  
Vol 290 (1-2) ◽  
pp. 169-190
Author(s):  
Ching-Hsin Wang ◽  
Feng-Chia Li
2009 ◽  
Vol 26 (1) ◽  
pp. 53-59 ◽  
Author(s):  
Chau-Chen Torng ◽  
Pei-Hsi Lee ◽  
Chun-Chieh Tseng

2009 ◽  
Vol 42 (4) ◽  
pp. 1704-1707 ◽  
Author(s):  
Ching Pou Chang ◽  
Hsiang Chin ◽  
Yuan-Du Hsiao ◽  
Fong-Jung Yu

Author(s):  
ZEHUI LI ◽  
LING-YAU CHAN ◽  
ZHIXIN YUAN

Suppose that shocks arrive and act on a system according to a Poisson distribution with mean rate of arrival equal to λ shock(s) per unit time. A δ-shock failure model is proposed in this paper, which assumes that when a system is acted on by a shock, it will recover fully in time δ(>0), and after that it will function as if no shock had occurred before. If the time lag between two successive shocks is less than δ, the second shock will cause failure of the system. Theoretical expressions related to the distribution of the failure time of the system are derived. These results can be used to optimize the design of a system from a costing point of view.


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