IceSerpent, on 11 March 2014 - 07:32 AM, said:
I think it's not quite that bad - there are two kinds of equipment:
1. discreet (has PPC / doesn't have PPC). In this case set is {0,1}, so you can get BDA and Sigma from there, just like you do for the mech variants.
2. Continuous (speed, armor, etc.). In this case BDA and Sigma can be calculated as:
where definite integrals have range from min (speed, armor, etc.) to max (speed, armor, etc.)
p(x) is probability density, for normal distribution it is
Once you get BDA and Sigma for each piece of equipment, you can just plug those into the rest of your equations.
Well, if you think you can do this math and it'll work, I'd encourage you to set it up in a spreadsheet and see if you can put together a system that actually arrives at reasonable values. I'm quite skeptical as to whether you can just use the "takes one of these weapons vs. doesn't" as a frequency measure for the equipment.
I'm also not totally sure about how you are choosing to calculate the value associated with things like speed or armor etc. But I'm intrigued by it. I'd suggest you throw the data into a google spreadsheet and see if you can work out the details. That's how I put together the system for mech frequency.
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Well, here we're not talking about a 12 man queue and a PUG queue.. we're talking about a single unrestricted queue where teams are made of solo players as well as groups of various sizes. So you can't really just deal with "house rules" in that case.
In terms of MM, it would generally be something that lies on top of the BV restrictions.
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But the matchmaker isn't doing matches based on BV. And some guy who is dropping separately from your group, who gets put on your team, isn't affecting your BV allocation at all.