Routing, merging, and sorting on parallel models of computation

Parallel Sorting in Two-Dimensional VLSI Models of Computation

Sorting and Selection on Parallel Disk Models

Data explosion is an increasingly prevalent problem in every field of science. Traditional out-of-core models that assume a single disk have been found inadequate to handle voluminous data. As a result, models that employ multiple disks have been proposed in the literature. For example, the Parallel Disk Systems (PDS) model assumes D disks and a single computer. It is also assumed that a block ...

Parallel Prefix Computation and Sorting on a Recursive Dual-Net

In this paper, we propose efficient algorithms for parallel prefix computation and sorting on a recursive dual-net. The recursive dual-net RDN(B) for k > 0 has (2no)/2 nodes and d0 + k links per node, where n0 and d0 are the number of nod es and the node-degree of the base-network B, respectively. Assume that each node holds one data item, the communication and computation time complexities of ...

Models of Parallel Computation and Parallel Complexity

This thesis reviews selected topics from the theory of parallel computation. The research begins with a survey of the proposed models of parallel computation. It examines the characteristics of each model and it discusses its use either for theoretical studies, or for practical applications. Subsequently, it employs common simulation techniques to evaluate the computational power of these model...

A Parallel Computation Approach to Topological Sorting

A new topological sorting algorithm is formulated using the parallel computation approach. The time complexity of this algorithm is of the order of the longest distance between a source node and a sink node in an acyclic digraph representing the partial orderings between elements. An implementation of this algorithm with an SIMD machine is discussed. To avoid contention for logical resources, a...