Hardy–Littlewood inequality: Difference between revisions

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'''Operational Availability''' is a management concept that evaluates the following.<ref>{{cite web|url=http://doni.daps.dla.mil/OPNAV.aspx|title=Opnav Instruction 4790.7: Maintenance Policy for United States Navy Ships|publisher=US Navy Operations}}</ref>
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* Diagnostic down time
* Criticality
* Fault isolation down time
* Logistics delay down time
* Corrective maintenance down time
 
Any failed item that is not corrected will induce operational failure. <math>A_o</math> is used to evaluate that risk. Operational failure is unacceptable in any situation where the following can occur.
* Capitol equipment loss
* Injury or loss of life
* Sustained failure to accomplish mission
 
==History==
 
Aircraft systems, ship systems, missile systems, and space systems have a large number of failure modes that must be addressed with limited resources.
 
Formal reliability modeling during development is required to prioritize resource allocation before operation begins. Estimated failure rates and logistics delay are used to identify the number of forward positioned spare parts required to avoid excessive down time. This is also used to justify the expense associated with redundancy.
 
Formal availability measurement is used during operation to prioritize management decisions involving upgrade resource allocation, manpower allocation, and spare parts planning.
 
== Principle ==
 
Operational availability is used to evaluate the following performance characteristic.
 
:<math> A_o = 0.9 \approx 877 \ hours \ down \ time \ per \ year</math>
:<math> A_o = 0.99 \approx 87 \ hours \ down \ time \ per \ year</math>
:<math> A_o = 0.999 \approx 8 \ hours \ down \ time \ per \ year</math>
:<math> A_o = 0.9999 \approx 52 \ minutes \ down \ time \ per \ year</math>
:<math> A_o = 0.99999 \approx 5 \ minutes \ down \ time \ per \ year</math>
 
The following data is collected for maintenance actions while in operation to prioritize corrective funding.
* Diagnostic down time is required to identify the amount of time spent perform maintenance when [[fault reporting]] does not support [[condition-based maintenance]].
* Criticality identifies level of risk associated with loss of mission, injury or loss of life, and capitol equipment.
* Fault isolation down time is required to identify the amount of time spent locating a failure.
* Logistics delay down time is required to identify the amount of time required to obtain replacement parts or software.
* Corrective maintenance down time is required to identify the amount of time required to install and reconfigure replacement parts and software.
 
This data is applied to the [[reliability block diagram]] to evaluate individual availability reduction contributions using the following formulas.
 
:<math>A_{o}^{D} = \left( \frac{ Total \ Time }{Total \ Time + Diagnostic \ Down \ Time } \right) </math>
 
:<math>A_{o}^{FI} = \left( \frac{ Total \ Time }{Total \ Time + Fault \ Isolation \ Down \ Time } \right) </math>
 
:<math>A_{o}^{L} = \left( \frac{ Total \ Time }{Total \ Time + Logistics \ Down \ Time } \right) </math>
 
:<math>A_{o}^{C} = \left( \frac{ Total \ Time }{Total \ Time + Corrective \ Down \ Time } \right) </math>
 
Redundant items do not contribute to availability reduction unless all of the redundant components fail simultaneously.
 
Operational Availability is the overall availability considering each of these contributions.
 
:<math>A_o = A_{o}^{D} \times A_{o}^{FI} \times A_{o}^{L} \times A_{o}^{C}</math>
 
==See also==
* [[Active redundancy]]
* Operational availability
* [[Reliability block diagram]]
 
==External links==
 
{{Empty section|date=March 2013}}
 
==References==
{{Reflist}}
 
[[Category:Maintenance]]
[[Category:Engineering concepts]]
[[Category:Reliability engineering]]
[[Category:Safety]]
[[Category:Fault tolerance]]
[[Category:Fault-tolerant computer systems]]

Latest revision as of 22:52, 9 May 2014

When hit with flight delays, most of us tend to just idly wander around the departure lounge staring blearily at oversized bars of Toblerone and deciding whether to blow the http://www.pcs-systems.co.uk/Images/celinebag.aspx last of our trip money on a U-shaped neck pillow that will in no way improve the chances of sleeping on the plane.

Scroll down for the music video
But not Richard Dunn, when stuck overnight in Las Vegas' McCarran Airport he busied himself making a music video for Celine Dion's "All By Myself", complete with improvised dolly tracking shot and bottom of the escalator 'fall to knees' for the crescendo.

Dunn admitted to having actually had a 'quite fun' time (the first recorded instance of this in an airport), getting behind the Delta check-in desks, crooning in those massage chairs no-one actually uses and utilising the inherently cinematic horizontal escalators.

Explaining how he filmed himself despite being all alone in the airport, he wrote on his Vimeo page:

"I had a person behind a ticket counter give me a roll of luggage tape before she left. I then used a wheel chair that had a tall pole on the back of it and taped my iPhone to that. Then I would put it on the moving walkway for a dolly shot.
"I also used the extended handle on my computer bag and taped the iPhone to my handle. I would tuck different stuff under the bag to get the right angle.

"For the escalator shot I had to sprint up the steps after I got my shot so the computer bag didn�t hit the top and fall back down. Quite fun!"