Weibull Proportionate Hazards Cost Function Notation

free_state

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Apr 26, 2018
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Hi guys,

I am currently doing a project using the Weibull Proportionate Hazards Model to predict the failure of components on mining machines, I have successfully developed a hazard function using the PHM. My problem lays with combining this hazard function with the cost function to achieve the optimal component change time (based on cost and risk). If someone could please explain the notation to me in the following blurb I would be super grateful, I have been stuck on this for days now.. There are a number of journals which refer to this method and use the same notation, I can't get my head around it =(

PHM.jpg

It is mainly the notation for Q(d) and W(d) I can't work out, any insight would be very much appreciated, thanks guys.
 
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