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adjusted lambda for inter arrival time 

Signed-off-by: Tuan-Dat Tran <tuan-dat.tran@tudattr.dev>
master
Tuan-Dat Tran 2024-11-13 12:00:18 +01:00
parent 594873c472
commit 8e1376cc44
3 changed files with 16549 additions and 658 deletions
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17097
aoi_cache_simulation.ipynb
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export.csv Normal file
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,access_count,hits,misses,mu,lambda,hit_rate
1,63,57,6,5.399654088863246,1,90.91
2,66,60,6,4.890335658893015,1,86.54
3,52,45,7,4.375444630275031,1,93.75
4,48,45,3,1.358965695760079,1,40.0
5,10,4,6,7.946779823996088,5,93.9
6,82,77,5,3.18260808979361,1,80.65
7,31,25,6,5.605947602976087,2,66.67
8,6,4,2,3.5941156596303507,21,91.67
9,72,66,6,3.8666443154519476,1,89.09
10,55,49,6,3.9010358263416967,1,78.38
11,37,29,8,3.956909570230068,2,93.62
12,47,44,3,1.730567205003155,1,83.93
13,56,47,9,5.904039737486446,1,92.06
14,63,58,5,6.0088737342639815,1,79.31
15,29,23,6,7.357737678743373,2,60.0
16,5,3,2,1.450213741204231,9,37.5
17,8,3,5,5.826606789353313,8,66.67
18,15,10,5,9.95812133184028,3,77.78
19,36,28,8,7.712014479036094,2,91.25
20,80,73,7,4.633712335874409,1,81.4
21,43,35,8,7.911648101723665,1,82.05
22,39,32,7,7.3654252444495425,1,92.54
23,67,62,5,2.2670795468704905,1,85.19
24,54,46,8,8.134847295147168,1,94.92
25,59,56,3,1.2117597080749123,1,80.77
26,26,21,5,3.3524134464900266,2,91.67
27,60,55,5,2.7158732876992437,1,87.88
28,66,58,8,4.804077627549259,1,92.31
29,65,60,5,4.2833971305094645,1,80.0
30,35,28,7,9.583225049197923,2,91.8
31,61,56,5,3.53247508842331,1,40.0
32,5,2,3,9.558530824564308,25,72.73
33,22,16,6,8.094454978234637,3,86.67
34,60,52,8,8.888543618416357,1,94.03
35,67,63,4,2.453624754290659,1,76.19
36,21,16,5,3.806350449396821,3,86.44
37,59,51,8,7.129451257264811,1,0.0
38,4,0,4,5.744097564369153,9,87.84
39,74,65,9,8.55536941450684,1,94.34
40,53,50,3,2.0343384453691136,1,83.05
41,59,49,10,9.397972944585163,1,63.64
42,11,7,4,6.121601715336887,5,50.0
43,10,5,5,4.851318863875822,6,97.06
44,34,33,1,1.1351296943911597,2,92.19
45,64,59,5,4.125874686055022,1,87.84
46,74,65,9,9.358024125232479,1,89.8
47,49,44,5,2.4843778719133423,1,86.27
48,51,44,7,7.286472514468783,1,97.83
49,46,45,1,1.004347586977225,1,86.27
50,51,44,7,9.455432928862624,1,56.25
51,16,9,7,8.86206095462283,4,89.33
52,75,67,8,8.07417789759667,1,86.79
53,53,46,7,3.0669146526063695,1,87.72
54,57,50,7,3.2235153877813585,1,88.06
55,67,59,8,4.968519133955913,1,76.0
56,25,19,6,6.100212072996646,2,0.0
57,1,0,1,5.7982474925454675,28,87.76
58,49,43,6,6.981561582145566,1,81.82
59,33,27,6,3.884026094257262,2,90.48
60,21,19,2,1.4233483791426025,3,87.93
61,58,51,7,5.338026073258696,1,84.85
62,33,28,5,3.660265149660588,2,50.0
63,10,5,5,9.767449091292056,5,95.0
64,60,57,3,1.201834548613872,1,91.07
65,56,51,5,4.987309597274194,1,61.54
66,13,8,5,8.525418306404905,4,91.38
67,58,53,5,6.3843811037941745,1,76.19
68,21,16,5,5.159531220600393,2,86.21
69,29,25,4,8.23605831735192,2,80.0
70,25,20,5,6.466763192894339,3,0.0
71,3,0,3,4.350935520897277,19,86.79
72,53,46,7,9.80846133788532,1,96.67
73,60,58,2,1.1679092884069515,1,66.67
74,3,2,1,1.18334302651572,34,91.18
75,68,62,6,1.983734112137778,1,79.31
76,29,23,6,3.103107885085463,2,90.62
77,64,58,6,3.5224268491508823,1,87.72
78,57,50,7,7.146369144646693,1,94.92
79,59,56,3,1.629455019599476,1,64.29
80,14,9,5,5.643369483405839,4,93.33
81,15,14,1,1.1732603718777255,4,74.19
82,31,23,8,7.1503989550318225,2,86.21
83,58,50,8,8.797436025155585,1,80.0
84,25,20,5,1.9671577189537692,2,86.89
85,61,53,8,9.617953205825893,1,91.78
86,73,67,6,3.326125890288469,1,96.36
87,55,53,2,1.1485674376739077,1,65.0
88,20,13,7,7.033453848869293,3,70.0
89,20,14,6,2.980219690735362,2,94.2
90,69,65,4,1.9069516378037399,1,84.21
91,57,48,9,7.690296524981362,1,66.67
92,3,2,1,6.794130441019814,13,72.0
93,25,18,7,4.972131019351156,3,44.44
94,9,4,5,8.769662570180895,7,86.79
95,53,46,7,4.07981809741165,1,90.77
96,65,59,6,7.308754805712177,1,77.42
97,31,24,7,3.0787732999641575,2,98.15
98,54,53,1,1.515769438886239,1,86.67
99,45,39,6,4.25741567806571,1,28.57
1 access_count hits misses mu lambda hit_rate
2 1 63 57 6 5.399654088863246 1 90.91
3 2 66 60 6 4.890335658893015 1 86.54
4 3 52 45 7 4.375444630275031 1 93.75
5 4 48 45 3 1.358965695760079 1 40.0
6 5 10 4 6 7.946779823996088 5 93.9
7 6 82 77 5 3.18260808979361 1 80.65
8 7 31 25 6 5.605947602976087 2 66.67
9 8 6 4 2 3.5941156596303507 21 91.67
10 9 72 66 6 3.8666443154519476 1 89.09
11 10 55 49 6 3.9010358263416967 1 78.38
12 11 37 29 8 3.956909570230068 2 93.62
13 12 47 44 3 1.730567205003155 1 83.93
14 13 56 47 9 5.904039737486446 1 92.06
15 14 63 58 5 6.0088737342639815 1 79.31
16 15 29 23 6 7.357737678743373 2 60.0
17 16 5 3 2 1.450213741204231 9 37.5
18 17 8 3 5 5.826606789353313 8 66.67
19 18 15 10 5 9.95812133184028 3 77.78
20 19 36 28 8 7.712014479036094 2 91.25
21 20 80 73 7 4.633712335874409 1 81.4
22 21 43 35 8 7.911648101723665 1 82.05
23 22 39 32 7 7.3654252444495425 1 92.54
24 23 67 62 5 2.2670795468704905 1 85.19
25 24 54 46 8 8.134847295147168 1 94.92
26 25 59 56 3 1.2117597080749123 1 80.77
27 26 26 21 5 3.3524134464900266 2 91.67
28 27 60 55 5 2.7158732876992437 1 87.88
29 28 66 58 8 4.804077627549259 1 92.31
30 29 65 60 5 4.2833971305094645 1 80.0
31 30 35 28 7 9.583225049197923 2 91.8
32 31 61 56 5 3.53247508842331 1 40.0
33 32 5 2 3 9.558530824564308 25 72.73
34 33 22 16 6 8.094454978234637 3 86.67
35 34 60 52 8 8.888543618416357 1 94.03
36 35 67 63 4 2.453624754290659 1 76.19
37 36 21 16 5 3.806350449396821 3 86.44
38 37 59 51 8 7.129451257264811 1 0.0
39 38 4 0 4 5.744097564369153 9 87.84
40 39 74 65 9 8.55536941450684 1 94.34
41 40 53 50 3 2.0343384453691136 1 83.05
42 41 59 49 10 9.397972944585163 1 63.64
43 42 11 7 4 6.121601715336887 5 50.0
44 43 10 5 5 4.851318863875822 6 97.06
45 44 34 33 1 1.1351296943911597 2 92.19
46 45 64 59 5 4.125874686055022 1 87.84
47 46 74 65 9 9.358024125232479 1 89.8
48 47 49 44 5 2.4843778719133423 1 86.27
49 48 51 44 7 7.286472514468783 1 97.83
50 49 46 45 1 1.004347586977225 1 86.27
51 50 51 44 7 9.455432928862624 1 56.25
52 51 16 9 7 8.86206095462283 4 89.33
53 52 75 67 8 8.07417789759667 1 86.79
54 53 53 46 7 3.0669146526063695 1 87.72
55 54 57 50 7 3.2235153877813585 1 88.06
56 55 67 59 8 4.968519133955913 1 76.0
57 56 25 19 6 6.100212072996646 2 0.0
58 57 1 0 1 5.7982474925454675 28 87.76
59 58 49 43 6 6.981561582145566 1 81.82
60 59 33 27 6 3.884026094257262 2 90.48
61 60 21 19 2 1.4233483791426025 3 87.93
62 61 58 51 7 5.338026073258696 1 84.85
63 62 33 28 5 3.660265149660588 2 50.0
64 63 10 5 5 9.767449091292056 5 95.0
65 64 60 57 3 1.201834548613872 1 91.07
66 65 56 51 5 4.987309597274194 1 61.54
67 66 13 8 5 8.525418306404905 4 91.38
68 67 58 53 5 6.3843811037941745 1 76.19
69 68 21 16 5 5.159531220600393 2 86.21
70 69 29 25 4 8.23605831735192 2 80.0
71 70 25 20 5 6.466763192894339 3 0.0
72 71 3 0 3 4.350935520897277 19 86.79
73 72 53 46 7 9.80846133788532 1 96.67
74 73 60 58 2 1.1679092884069515 1 66.67
75 74 3 2 1 1.18334302651572 34 91.18
76 75 68 62 6 1.983734112137778 1 79.31
77 76 29 23 6 3.103107885085463 2 90.62
78 77 64 58 6 3.5224268491508823 1 87.72
79 78 57 50 7 7.146369144646693 1 94.92
80 79 59 56 3 1.629455019599476 1 64.29
81 80 14 9 5 5.643369483405839 4 93.33
82 81 15 14 1 1.1732603718777255 4 74.19
83 82 31 23 8 7.1503989550318225 2 86.21
84 83 58 50 8 8.797436025155585 1 80.0
85 84 25 20 5 1.9671577189537692 2 86.89
86 85 61 53 8 9.617953205825893 1 91.78
87 86 73 67 6 3.326125890288469 1 96.36
88 87 55 53 2 1.1485674376739077 1 65.0
89 88 20 13 7 7.033453848869293 3 70.0
90 89 20 14 6 2.980219690735362 2 94.2
91 90 69 65 4 1.9069516378037399 1 84.21
92 91 57 48 9 7.690296524981362 1 66.67
93 92 3 2 1 6.794130441019814 13 72.0
94 93 25 18 7 4.972131019351156 3 44.44
95 94 9 4 5 8.769662570180895 7 86.79
96 95 53 46 7 4.07981809741165 1 90.77
97 96 65 59 6 7.308754805712177 1 77.42
98 97 31 24 7 3.0787732999641575 2 98.15
99 98 54 53 1 1.515769438886239 1 86.67
100 99 45 39 6 4.25741567806571 1 28.57

10
note.md
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@ -1,6 +1,7 @@
System Design
# Age Caching Simulation
Client -> TTL Cache -> Database
Capacity C
Capacity C (C = n (example: 100))
TTL increases on cache hit
Age of information / Age of the entry in the cache
@ -18,7 +19,4 @@ lambda(i) is zipf distribution describing the rate the client requests the objec
Inter arrival time of each object => exponential
We need
Hit rate and the average age of the object based on TTL and
C = n (example: 100)
Hit rate and the average age of the object based on TTL