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If relation r is fragmented, r is divided into a number of fragments r1 , r2 , , rn These fragments contain suf cient information to allow reconstruction of the original relation r There are two different schemes for fragmenting a relation: horizontal fragmentation and vertical fragmentation Horizontal fragmentation splits the relation by assigning each tuple of r to one or more fragments Vertical fragmentation splits the relation by decomposing the scheme R of relation r We shall illustrate these approaches by fragmenting the relation account, with the schema Account-schema = (account-number, branch-name, balance) In horizontal fragmentation, a relation r is partitioned into a number of subsets, r1 , r2 , , rn Each tuple of relation r must belong to at least one of the fragments, so that the original relation can be reconstructed, if needed As an illustration, the account relation can be divided into several different fragments, each of which consists of tuples of accounts belonging to a particular branch If the banking system has only two branches Hillside and Valleyview then there are two different fragments: account1 = branch-name = Hillside (account) account2 = branch-name = Valleyview (account) Horizontal fragmentation is usually used to keep tuples at the sites where they are used the most, to minimize data transfer In general, a horizontal fragment can be de ned as a selection on the global relation r That is, we use a predicate Pi to construct fragment ri : ri = Pi (r)

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2 0 2 = 0

The McGraw Hill Companies, 2001

CHAPTER 6:

We reconstruct the relation r by taking the union of all fragments; that is, r = r1 r2 rn In our example, the fragments are disjoint By changing the selection predicates used to construct the fragments, we can have a particular tuple of r appear in more than one of the ri In its simplest form, vertical fragmentation is the same as decomposition (see 7) Vertical fragmentation of r(R) involves the de nition of several subsets of attributes R1 , R2 , , Rn of the schema R so that R = R1 R2 Rn Each fragment ri of r is de ned by ri = Ri (r) The fragmentation should be done in such a way that we can reconstruct relation r from the fragments by taking the natural join r = r1

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