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However, when knob ϭ C/Avg_Slice1, it minimizes the variance. To observe, consider the following discussion. In the long run, with knob ϭ 0, PIRATE maintains the first slice of all the objects with the highest heat disk resident, while the others compete with each other for a small portion of the disk space [see Fig. 20(a)]. To approximate the number of objects that become disk resident with knob ϭ 0 (ℵȐ), we use the average size (Avg_Slice1) as follows: ℵµ ≈ C Avg Slice1 (21) However, with knob ϭ C/Avg_Slice1, PIRATE maintains only a minimum portion of all these ℵȐ objects disk resident.
Composite Objects We conceptualize a system that supports composite objects as consisting of three components: a collection of user interfaces, logical abstraction, and a storage manager (see Fig. 21). User interfaces play an important role in providing a friendly interface to (1) access existing data to author composite objects and (2) display objects. The logical abstraction tailors the user interface to the storage manager and is described further in the following paragraphs. The focus of this report is on the storage manager.
Note that the terms time interval and time period are used synonymously in this section. Subsequently, we study the formally defined four scheduling problems. In (51), we proved that all of these scheduling problems are NP-hard in strong sense. In addition, scheduling algorithms based on heuristics are introduced per problem in (51). Mix of Media Types Until now, we assumed that all CM objects belong to a single media type. For example, all are MPEG-2 compressed video objects. In practice, however, objects might belong to different media types.