Spatiotemporal Data Indexing using hBπ-tree Evangelos Kanoulas, Georgios Evangelidis Department of Applied Informatics, University of Macedonia, Hellas.
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Spatiotemporal Data Indexing using hBπ-tree Evangelos Kanoulas, Georgios Evangelidis Department of Applied Informatics, University of Macedonia, Hellas Spatial and Temporal Data • Linear data • Spatial data • Temporal data Applications, which require to support past, current and future data. Kanoulas - Evangelidis 2 Transaction Time Databases transaction time records (tuples) time-invariant key time – variant attributes time interval valid records Kanoulas - Evangelidis 3 TSB-tree 1 - structure Kanoulas - Evangelidis 4 TSB-tree 3 – splitting Kanoulas - Evangelidis 5 π hB – tree (Data nodes) Kanoulas - Evangelidis 6 π hB – tree (Index nodes) Kanoulas - Evangelidis 7 TShB-tree – transaction time Data Records – an example Kanoulas - Evangelidis 8 TShB-tree - splitting • Index nodes •Using the D/fp algorithm • Data nodes •Time split •Key split Kanoulas - Evangelidis 9 D/fp – Τ/Κ (1) Kanoulas - Evangelidis 10 D/fp – Τ/Κ (2) Kanoulas - Evangelidis 11 D/fp – Τ/ΤΚ (1) Kanoulas - Evangelidis 12 D/fp – Τ/ΤΚ (2) Kanoulas - Evangelidis 13 % historical data nodes (node capacity 4K) 45 42.72 40 37.4 35 34.46 35 34.47 30 % 25 22.28 20 15 13.4 10 5 4.6 0 0.35 0 70 75 80 85 90 % active records that indicate the type of node splitting Τ/Κ Τ/ΤΚ Kanoulas - Evangelidis 14 Index nodes efficiency (node capacity 4Κ) 75 70 69.78 69.78 69.17 65 64.96 60 % 59.51 55 50 46.33 45 46.76 46.35 46.29 43.14 40 70 75 80 85 90 % active records that indicate the type of node splitting Τ/Κ Τ/ΤΚ Kanoulas - Evangelidis 15 % historical data nodes 100 94 90 78 93 80 76 70 % 60 54 46 50 40 37 30 20 13 10 0 0 5 10 15 20 25 30 35 update - insertion rate T/K T/TK Kanoulas - Evangelidis 16 Data nodes efficiency 70 64.96 60 49.57 49.2 53.57 % 50 47.72 43.97 45.71 40 46.29 30 20 10 0 0 5 10 15 20 25 30 35 update - insertion rate T/K T/TK Kanoulas - Evangelidis 17