Database System Concepts
7th Edition
ISBN: 9781260084504
Author: Abraham Silberschatz, S. Sudarshan, Abraham, Henry Korth, Silberschatz Abraham, Silberschatz Professor
Publisher: McGraw-Hill Education
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Expert Solution & Answer
Chapter 14, Problem 9PE
Explanation of Solution
a.
Losing sequentiality:
In B+ tree index or file organization, the leaf nodes loose sequentiality because of the following reasons:
- Here, even if the leaf nodes are adjoining each other in the tree, in the disk they may be located at different places...
Explanation of Solution
b.
i.
Worst-case occupancy:
- Simply rebuilding the indices can help to restore this sequentiality in the file organization.
- Consider the given alternative reorganization to restore this sequentiality.
- Here, every n-block unit and every B+ tree’s node are half filled.
- So, the worst-case occupancy will be 25%.
ii.
Allocating leaf nodes:
“No”, the given situation is not possible.
It is because of the following reasons:
- Consider the scenario when the n-block unit splits;
- One n-block unit will contain the first “n/2” leaf pages.
- The second n-block unit will contain the remaining leaf pages.
- So, each split in the n-block will preserve the order.
- As a result, the nodes in each n-block unit will always be successive.
iii.
Numbers of seeks required:
- First consider the case of a n-page block,
- Here, while scanning the B+ tree, the leaf page might turn out to be non-sequential...
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