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Transient Solution of a two-processor heterogeneous systems

✍ Scribed by S. Dharmaraja


Book ID
104350855
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
469 KB
Volume
32
Category
Article
ISSN
0895-7177

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✦ Synopsis


two-processor system heterogeneous with Poisson arrival of jobs having exponentially distributed execution times is considered. Here, the service rates of these processors are not identical. Each job requires exactly one processor for its execution and the scheduling policy is FCFS. When both the processors are idle, the faster processor is scheduled for service before the slower one. For this system, exact time-dependent system size probabilities are obtained using a suitable probability generating function. Finally, some important performance measures are also obtained.


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We present a deterministic parallel algorithm that solves a n-dimensional system Ax s b of linear equations over an ordered field or over a subfield of the complex Ε½ 2 . Ε½ Γ„ Ε½ . 2 numbers. This algorithm uses O log n parallel time and O max M n , n Ε½ . 4 . Ε½ . log log n rlog n arithmetic processors