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JohnSmith2
join:2005-02-25
Hillsboro, MO
| reply to Guest77
Re: Rolling 30 Day: The Truth
I'm going to try to explain how a rolling FAP works, once you are FAPed. I apologize for the algebra, but this is not the kind of thing I'm having much luck fully explaining with only words. This is of course a simplified model, yet I hope some clarity will result.
R = Average daily rate of utilization.
G = Plan Gigabytes.
Remember that, if your average daily usage is pretty constant at R, you expire just as much per day as you add on. Therefore once you are fapped, you stay fapped for a full thirty days regardless, unless you bring your average usage down.
Now assume, that somehow you can change how you are using the internet and adjust your daily utilization to only 2/3 of what it was before being fapped. Let us try to calculate the number of days it takes to get unfapped under that assumption.
G - R*n + 2/3R*n = 8/10*G. ; n = number of days
1/5G = 1/3*R*n
3G=5*R*n
n=3G/(5R)
So for the 10GB case, and assuming you normally use 3/4 of your average allowed daily bandwidth you get have:
G=10GB
R= 3/4*(10GB)/30=0.25GB/day
n=3*10/(5*.25)=24 days
Let me clarify this. If you normally use 3/4 of what you pay for on a daily basis, and for some reason you need to download more and get FAPed, then even if you can suddenly cut your normal usage to 2/3 of what it was, then you still have to wait 24 days to be unfapped.
The best case scenario for getting back to 80% is the person unplugs the modem. In that case you would have:
G - R*n = 8/10*G
1/5G=R*n
G=5*R*n
n=G/(5*R)
Supposing you normally were a moderate user and used R= (1/2)(G/30) = G/60
n=G*60/(5*G)
n=20 days.
Ironically here, it is better for getting under FAP if the event that sent you under was not that big and your past average daily usage was bigger. Suppose R= (3/4)(G/30)=G/40
n=G*40/(5*G)
n=8 days to get under fap.
At any rate, this post has gotten too long, but I thought it worthwhile to try to explain how a rolling FAP like this works in practice, and that, the change really was not any kind of benefit to the end user. They had it better when it was easy to know when they were going to reset. Yes, some would likely download more towards the end, but then they did pay for that bandwidth. | |
davidjneff
join:2005-09-19
Stevenson, WA
| I was actually semi-joking with my post about the rolling FAP giving us more bandwidth. Even though in theory you could get a few extra gig a year with the rolling FAP, in practice, the psychology of it means none of us will want to get close to the FAP, since as you pointed out, once you are FAPped, it can be a while to get it back. At least with the old FAP, you knew you were golden first of the month.
But it all depends on your usage pattern. With the old FAP, if you could in theory download your entire FAP within the first few days, and also have to wait for weeks for the new month.
I agree that for most folks, the rolling FAP will result in lower bandwidth usage in practice. But I really do think it was an attempt to even out bandwidth usage more, which really is a sensible thing to do and actually in our best interests.
Algebra models like we used are an approximation. In reality I think some monte carlo simulations would be necessarily to figure out probability distributions of fapping and time to unfapping  | |
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