Have I understood the basics of decompression theory, GF99 and SurfGF?

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I'm not sure what you mean by trying to squeeze 3 minutes off a deco schedule.
I suspect he means to get out of the water 3 minutes faster, with equally good off-gassing as with the longer schedule, by tuning stop depths and time at each.
 
Yes, I started diving in 1967. I was trying to be ironic. The amount of mental calisthenics some of these guys are going through to squeeze 3 minutes off a deco schedule is amazing to me.

It's very much the job of a dive computer to calculate the fastest ascent possible within the constraints of the underlying model.

The details of how a computer does this as well as the constraints that it must respect along the way lie well beyond what divers need to know to be able to actually use their computers, but it doesn't seem particularly surprising that people might be interested in learning about them none-the-less.
 
It's very much the job of a dive computer to calculate the fastest ascent possible within the constraints of the underlying model.

No it isn't. Its job is to calculate the optimal ascent, FVVO "optimal". "Fastest" is the frequently-used definition but far from the only one.
 
No it isn't. Its job is to calculate the optimal ascent, FVVO "optimal". "Fastest" is the frequently-used definition but far from the only one.

I'm really counting ascent speeds and the like as part of the model here, but I'd be genuinely interested in what other criteria it is possible to optimise for without adding new constraints to the model. If you do add extra constraints it seems that you'd still optimising for the fastest ascent but to modified model: so for example if the user has specified a GFhi and the computer decides to 'optimise for safety' by adding a 5% margin then that would be the equivalent to finding the fastest ascent profile with (GFhi - 5).
 
There's SAUL planner where you can optimize for "risk", whatever that means.
 

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