A taxonomy of problems with fast parallel algorithms

Fast and Scalable Parallel Algorithms for Knapsack-like Problems

We present two new algorithms for searching in sorted X+Y +R+S, one based on heaps and the other on sampling. Each of the algorithms runs in time O(n 2 logn) (n being the size of the sorted arrays X, Y , R and S). Hence in each case, by constructing arrays of size n = O(2 s=4), we obtain a new algorithm for solving certain NP-Complete problems such as Knapsack on s data items in time equal (up ...

Fast Parallel Permutation Algorithms

We investigate the problem of permuting n data items on an EREW PRAM with p processors using little additional storage We present a simple algorithm with run time O n p logn and an improved algorithm with run time O n p logn log log n p Both algorithms require n additional global bits and O local storage per processor If pre x summation is supported at the instruction level the run time of the ...

A Taxonomy of Parallel Game-Tree Search Algorithms

Towards a Taxonomy of Parallel Branch and Bound Algorithms

In this paper we present a classification of parallel branch and bound algorithms, and elaborate on the consequences of particular parameter settings. The taxonomy is based upon how the algorithms handle the knowledge about the problem instance to be solved, generated during execution. The starting point of the taxonomy is the generally accepted description of the sequential branch and bound al...

Experiments with Parallel Algorithms for Combinatorial Problems

In the last decade many models for parallel computation have been proposed and many parallel algorithms have been developed. However, few of these models have been realized and most of these algorithms are supposed to run on idealized, unrealistic parallel machines. The parallel machines constructed so far all use a simple model of parallel computation. Therefore, not every existing parallel ma...