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The trending evolution towards the Internet of things and the general increase in broadband are constantly creating large volumes of data that need to be processed to extract further knowledge. Recently, the cloud computing model has seen the evolution from the initial scenario of a public cloud offering its resources to customers through virtualization and Internet, toward the concept of hybrid cloud,...
In practice, the average time of (deterministic or randomized) sorting algorithms seems to be more relevant than the worst case time of deterministic algorithms. Still, the many known complexity bounds for parallel comparison sorting include no nontrivial lower bounds for the average time required to sort by comparisons n elements with p processors (via deterministic or randomized algorithms). We...
A complexity theory for unbounded fan-in parallelism is developed where the complexity measure is the simultaneous measure (number of processors, parallel time). Two models of unbounded fan-in parallelism are (1) parallel random access machines that allow simultaneous reading from or writing to the same common memory location, and (2) circuits containing AND's, OR's and NOT's with no bound placed...
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