Average Execution Times of Series-Parallel Networks
Séminaire lotharingien de combinatoire, Tome 29 (1992)
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The papers investigates a model for series-parallel processing structures developed by E. Gelenbe. We show that, under the so-called combinatorial distribution assumption, the average total execution time of a series-parallel processing structure cannot grow essentially slower than n1/2, where n is the number of primitive tasks in the structure.