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The full representation of such a converted number is m ϭ djϪ1 ϫ ͶjϪ1 ϩ и и и ϩ d2 ϫ Ͷ2 ϩ d1 ϫ Ͷ1 ϩ d0 ϫ Ͷ0. In our example, the number 11012 can be written as 1 ϫ 23 ϩ 1 ϫ 22 ϩ 0 ϫ 21 ϩ 1 ϫ 20. In general, for every digit di that is non-zero, di sections are allocated from height i of the free list on behalf of ox. In our example, ox requires 1 section from height 0, no sections from height 1, 1 section from height 2, and 1 section from height 3. For each object, the number ␯ of contiguous pieces is equal to the number of ones in the binary representation of m, or j with a general base Ͷ, ␯ ϭ ͚iϭ0 di (where j is the total number of digits).

P(t): The cluster that contains the first block of the object referenced by t, 1 Յ p(t) Յ D. It determines the placement of the object referenced by t on the clusters. We denote a task ti as a quadruple: ͗r(ti), ᐉ(ti), c(ti), p(ti)͘. 741 User interface Display schedule Logical abstraction Storage manager Retrieval schedule Focus Figure 21. Three levels of abstraction. , no retrieval contention). Moreover, ARS should satisfy an optimization objective. Depending on the application, this objective could be minimizing either (1) the average startup latency of the tasks, or (2) the total duration of scheduling for a set of tasks (maximizing throughput).

C0 C1 Z0 C2 C3 G2 G1 X2 X3 Y4 Y5 Z1 ... C4 C5 Figure 24. Load balancing. 744 DISTRIBUTED MULTIMEDIA SYSTEMS thogonal to one another, enabling a system to employ both at the same time. Request Migration. By migrating one or more requests from a group with zero idle slots to a group with many idle slots, the system can minimize the possible latency incurred by a future request. For example, in Fig. 24, if the system migrates a request for X from G4 to G2, then a request for Z is guaranteed to incur a maximum latency of one time period.

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37.Multimedia by John G. Webster (Editor)

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