A delay-time-based inspection model for a two-component parallel system

2013 ◽  
Author(s):  
Wenbin Wang ◽  
Xuejuan Liu ◽  
Rui Peng ◽  
Li Guo
Keyword(s):  
Delay Time ◽  
Parallel System ◽  
Two Component ◽  
Component Parallel

Scheduling spares with exponential lifetimes in a two-component parallel system

1980 ◽  
Vol 17 (4) ◽  
pp. 1025-1032 ◽  
Author(s):  
Michael Pinedo
Keyword(s):  
Parallel System ◽  
Two Component ◽  
System Breakdown ◽  
Component Parallel

Consider a two-component parallel system. There is a stockpile of n spares, spare i having lifetime Xi, exponentially distributed with rate µi. The system breaks down when neither component functions. Every time a spare expires it has to be replaced, to avoid system breakdown. We investigate the policies which maximize the expected lifetime of the system using these n spares.

Scheduling spares with exponential lifetimes in a two-component parallel system

1980 ◽  
Vol 17 (04) ◽  
pp. 1025-1032
Author(s):  
Michael Pinedo
Keyword(s):  
Parallel System ◽  
Two Component ◽  
System Breakdown ◽  
Component Parallel

Consider a two-component parallel system. There is a stockpile of n spares, spare i having lifetime Xi , exponentially distributed with rate µi . The system breaks down when neither component functions. Every time a spare expires it has to be replaced, to avoid system breakdown. We investigate the policies which maximize the expected lifetime of the system using these n spares.

scholarly journals Delay-induced switched states in a slow–fast system

2019 ◽  
Vol 377 (2153) ◽  
pp. 20180118 ◽  
Author(s):  
Stefan Ruschel ◽  
Serhiy Yanchuk
Keyword(s):  
Nonlinear Dynamics ◽  
Positive Feedback ◽  
Delay Time ◽  
Delay System ◽  
Delay Systems ◽  
Round Trip ◽  
Theme Issue ◽  
Feedback Function ◽  
Fast System ◽  
Two Component

We consider the two-component delay system εx ′( t ) = −  x ( t ) −  y ( t ) +  f ( x ( t  − 1)), y ′( t ) =  ηx ( t ) with small para- meters ε , η and positive feedback function f . Previously, such systems have been reported to model switching in optoelectronic experiments, where each switching induces another one after approximately one delay time, related to one round trip of the signal. In this paper, we study these delay-induced switched states. We provide conditions for their existence and show how the formal limits ε  → 0 and/or η  → 0 facilitate our understanding of this phenomenon. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.

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