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Range Searches

Range Searches. `` Find all students with gpa > 3.0 ’’ If data is in sorted file, do binary search to find first such student, then scan to find others. Cost of binary search can be quite high. Simple idea: Create an `index’ file. Index File. kN. k2. k1. Data File. Page N. Page 3.

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Range Searches

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  1. Range Searches • ``Find all students with gpa > 3.0’’ • If data is in sorted file, do binary search to find first such student, then scan to find others. • Cost of binary search can be quite high. • Simple idea: Create an `index’ file. Index File kN k2 k1 Data File Page N Page 3 Page 1 Page 2 • Can do binary search on (smaller) index file!

  2. Overflow page index entry ISAM P K P K P P K m 0 1 2 1 m 2 • Index file may still be quite large. But we can apply the idea repeatedly! Non-leaf Pages Leaf Pages Primary pages • Leaf pages contain data entries.

  3. Root 40 20 33 51 63 46* 55* 10* 15* 20* 27* 33* 37* 40* 51* 97* 63* Example ISAM Tree • Each node can hold 2 entries; no need for `next-leaf-page’ pointers. (Why?)

  4. After Inserting 23*, 48*, 41*, 42* ... Root 40 Index Pages 20 33 51 63 Primary Leaf 46* 55* 10* 15* 20* 27* 33* 37* 40* 51* 97* 63* Pages 41* 48* 23* Overflow Pages 42*

  5. ... Then Deleting 42*, 51*, 97* Root 40 20 33 51 63 46* 55* 10* 15* 20* 27* 33* 37* 40* 63* 41* 48* 23* • Note that 51* appears in index levels, but not in leaf!

  6. Summary • Tree-structured indexes are ideal for range-searches, also good for equality searches. • ISAM is a static structure. • Only leaf pages modified; overflow pages needed. • Overflow chains can degrade performance unless size of data set and data distribution stay constant. • B+ tree is a dynamic structure. • Inserts/deletes leave tree height-balanced; log F N cost. • High fanout (F) means depth rarely more than 3 or 4. • Almost always better than maintaining a sorted file.

  7. Summary (Contd.) • Typically, 67% occupancy on average. • Usually preferable to ISAM, modulolockingconsiderations; adjusts to growth gracefully. • If data entries are data records, splits can change rids! • Most widely used index in database management systems because of its versatility. One of the most optimized components of a DBMS.

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