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Figure 3-8 illustrates the push-through process using the same insertion sequence which led to Fig 3-6 The nal state of the le is shown in Fig 3-9 The index is identical, since block positions do not change Pointers are depicted in the form blockrecord number Now only one over ow pointer is required per primary block and only one jump is made to the over ow le per block The chains will be longer than if each record had its own successor chain in the over ow area, by a factor of Bfr This means that a fetch of a record placed in the over ow area will take longer The average fetch and serial access will be better
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since there will be less switching between the sequential le area and the over ow le area, especially when the two areas are not on the same cylinder As the number of over ow records increases and with fairly many records per block, under conditions of uniform distribution the probability of having an over ow chain for every block rapidly approaches certainty Processing Over ow Chains Over ow chains are costly to process The serial processing required for over ow chains requires fetching a new block for each record We will consider three issues here 1 Searching for nonexisting records Half the chain will have to be searched to nd a record, but the entire chain must be searched to determine that a requested record does not exist Maintaining chains sorted by key reduces the search for nonexisting records to about half the chain length as well 2 Fetching frequently needed records An alternative, keeping records in the chains by order of frequency of use can help nd existing records faster Since recent updates are more likely to be needed it can be bene cial to insert new updates into the front of the chain This strategy reduces update cost as well 3 Considering the distribution of chain lengths In practice, over ow chains have quite unequal lengths; for instance, append operations create long chains connected to the last block, unless special mechanisms are used for appends For an inventory le, activity may be high in a particular item, while other items are unused In Chap 6-1-5, Example 6-4, we develop estimates of the chain length, Lc, for random insertions, leading to Poisson distributions Statistical analysis becomes important if push-through is not used, since then many small chains must be considered
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Size of Over ow Areas Cylinder over ow areas have to be carefully dimensioned
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If insertions cluster in certain areas, the corresponding cylinders will need large over ow areas If the system provides a space allocation so that all cylinder over ow areas are of equal size, as most do, then much space can be wasted in cylinders that are not receiving many insertions An escape hatch can be the provision of a secondary over ow area that is used when any cylinder over ow area itself over ows Now the objective of avoiding seek time is lost for the records placed in the secondary over ow area; speci cally, serial access will be quite slow Some methods to estimate the size of over ow areas required, given a speci c distribution of record insertions, can be found in Chap 6-1, and an assessment of insert versus inquiry frequencies is sketched in Chap 5-1
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Reorganization At or before the point when the over ow areas themselves over ow, a le reorganization is required Reorganization can also be needed when, because of the creation of long chains, the fetch or serial processing times become excessive Such a reorganization consists of the steps shown in Table 3-3 During this process, the reorganization programs will create a completely new index based on new anchor point values for the blocks of the data le The previous index is simply discarded The need for regular reorganization is a major drawback of indexed-sequential les, since it involves monitoring of the les and periodic special processing
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