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Re:iRobot says robot vacuums now represent 20% of worldwide ... by greenshackle2 on Monday November 07, 2016 @11:34PM (#12897675)
If we assume a fixed lifetime of n years for vacuums, it will take at most n years to get to 20%.

If we assumed a half-life of n years, then robot vacuums will only ever approach 20% asymptotically and won't ever reach it.

(We could get over 20% if robot vacuums have a longer lifespan than regular vacuums. I'm tempted to write a simulation over different failure curves but I really have better things to do.)

Re:iRobot says robot vacuums now represent 20% of worldwide ... by daurnimator on Tuesday November 08, 2016 @12:46AM (#12897979)
> If we assumed a half-life of n years, then robot vacuums will only ever approach 20% asymptotically and won't ever reach it.

You shouldn't assume that they will be 20% of sales for every future year.

Re:iRobot says robot vacuums now represent 20% of worldwide ... by lostlogin on Tuesday November 08, 2016 @02:49AM (#12898419)
Not sure if you have ever met a Tellus vacuum cleaner, but as far as O can tell they live for ever and bugger up this equation.
Re:iRobot says robot vacuums now represent 20% of worldwide ... by Cerium on Tuesday November 08, 2016 @10:01AM (#12900727)
I would guess robot vacuums have a shorter life! I'm still using the same vacuum I grew up with, it's more than 20 years old and going strong.