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Extended RT-DLT in [9, 7] to be applicable in a more general framework, in which each processor only becomes avail- In a recent series of papers [6, 8, 9, 7], Lin, Lu, Deogun, and Goddard have applied results from Divisible Load Theory (DLT) to the scheduling of arbitrarily divisible real-time workloads upon multiprocessor clusters. In DLT, the assumption is that the jobs comprising the workload are each parallelizable to an arbitrary degree, although there are overheads associated with splitting a job into “pieces” in order to execute it in parallel upon multiple processors, and in distributing the pieces to these processors.

The main body of the pseudo-code is an infinite while loop, from which the only exit is be one of two break statements. , there are not enough processors with ready times prior to this job’s deadline for us to be able to meet its deadline). If neither break statement executes, we compute αi , the fraction of the job that is allocated to processor Pi . The value is computed by observing that allocating a fraction αi of the load requires this node to be receiving data for Cm αi σ time units and then executing this data for Cp αi σ time units.

In [9, 7], Lin et al. further extend this model to allow for the possibility that all the processors are not immediately available. In this extended model, at any instant in time at which the head-node is determining whether to accept an incoming job or not (and if so, how to divide the job and allocate the pieces to the processors), there is a vector r1 , r2 , . . , of positive real numbers, with ri , called the ready time of Pi , denoting the earliest timeinstant (at or after the present) at which the i’th processing node Pi becomes available.

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