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Model

The five-minute rule

Keep a page resident if its re-reference interval is shorter than the break-even. Residency is an economic decision.

Trade-off: Cost as a substitutable resource

How it behaves

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

Data table
Break-even re-reference interval by RAM price (8 KB pages, $0.003 per access per second)
RAM price ($ per GB)Keep in RAM if re-read within
0.5786 s
0.524751 s
0.548717 s
0.574685 s
0.601654 s
0.63624 s
0.659596 s
0.69569 s
0.723544 s
0.757519 s
0.793496 s
0.83474 s
0.87452 s
0.911432 s
0.954412 s
0.999394 s
1.05376 s
1.09359 s
1.15343 s
1.2327 s
1.26313 s
1.32299 s
1.38285 s
1.44272 s
1.51260 s
1.58248 s
1.66237 s
1.74226 s
1.82216 s
1.9206 s
1.99197 s
2.09188 s
2.19180 s
2.29172 s
2.4164 s
2.51157 s
2.63150 s
2.75143 s
2.88136 s
3.02130 s
3.16124 s
3.31119 s
3.47113 s
3.63108 s
3.8103 s
3.9898.7 s
4.1794.3 s
4.3790 s
4.5786 s
4.7982.1 s
5.0178.4 s
5.2574.9 s
5.571.5 s
5.7668.3 s
6.0365.2 s
6.3262.3 s
6.6159.5 s
6.9356.8 s
7.2554.2 s
7.5951.8 s
7.9549.4 s
8.3347.2 s
8.7245.1 s
9.1343.1 s
9.5641.1 s
1039.3 s
10.537.5 s
1135.8 s
11.534.2 s
1232.7 s
12.631.2 s
13.229.8 s
13.828.4 s
14.527.2 s
15.225.9 s
15.924.8 s
16.623.6 s
17.422.6 s
18.221.6 s
19.120.6 s
2019.7 s

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.