DATABASE SYSTEM CONCEPTS (LOOSELEAF)
DATABASE SYSTEM CONCEPTS (LOOSELEAF)
7th Edition
ISBN: 9781260515046
Author: SILBERSCHATZ
Publisher: MCG
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Chapter 16, Problem 14PE

Explanation of Solution

Explanation:

  • The System R optimizer only considers left-deep join, and it is specified in Section 16.4 of the textbook.
  • To compute the optimal join order, constant time is required for any pair of subset (say “A” and “B”).
  • Subset “A” can denote k+1 different subsets with the size which is exactly equal to “k” for each subset that contains k+1 relations.
  • Only a single relation can appear as the right side of the topmost join and this is the reason to consider only “k” size.
  • Therefore, the optimal join order is calculated in k+1 time for each subset which has k+1 relations.
  • The optimal join order will be calculated for all the (nk+1) subsets having size of “k” as,

(nk+1)k+</

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