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Model

Role explosion

Role-based access stores a sum instead of a product only while access really clusters into a few groups.

Dimensions
independent dimensions access depends on (region, department, clearance, purpose)

Recurring principle: Fixed capacity meets growth

How it behaves

One input on the horizontal axis, the others held fixed.

Data table
Roles needed by independent yes/no dimensions
Independent dimensions dRoles
12
1.162.24
1.322.51
1.492.8
1.653.14
1.813.51
1.983.93
2.144.4
2.34.92
2.465.51
2.636.17
2.796.9
2.957.73
3.118.65
3.279.68
3.4410.8
3.612.1
3.7613.6
3.9215.2
4.0917
4.2519
4.4121.3
4.5823.8
4.7426.7
4.929.9
5.0633.4
5.2237.4
5.3941.9
5.5546.9
5.7152.4
5.8858.7
6.0465.7
6.273.5
6.3682.3
6.5392.1
6.69103
6.85115
7.01129
7.17145
7.34162
7.5181
7.66203
7.83227
7.99254
8.15284
8.31318
8.47356
8.64398
8.8446
8.96499
9.13558
9.29625
9.45699
9.61783
9.78876
9.94981
10.11.1K
10.31.23K
10.41.37K
10.61.54K
10.81.72K
10.91.93K
11.12.16K
11.22.41K
11.42.7K
11.63.02K
11.73.39K
11.93.79K
12.14.24K
12.24.75K
12.45.31K
12.55.95K
12.76.65K
12.97.45K
138.34K
13.29.33K
13.310.4K
13.511.7K
13.713.1K
13.814.6K
1416.4K

Worked examples, recomputed

Every number the mechanisms quote for this relationship is recomputed from it, so none of them disagrees with it.

Where it appears

Each mechanism states it in its own names. The general symbol each name stands for is shown with it.