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Optimization of the Multi-Threaded Interval Algorithm for the Pareto-Set Computation

Kubica B. J., Wodniak A.

Journal of Telecommunications and Information Technology

2010

nr 1

70-75

Previous investigations of the authors surveyed the possibility of applying interval methods to seek the Paretofront of a multicriterial nonlinear problem. An efficient algorithm has been proposed and its implementation in a multicore environment has been done and tested. This paper has two goals. First one is to tune the developed algorithm to increase the speedup of the multi-threaded variant. The second one is to extend the algorithm to compute not only the Paretofront (in the criteria space), but also the Pareto-set (in the decision space). Numerical results for suitable test problems are presented.

Shared-Memory Parallelization of an Interval Equations Systems Solver - Comparison of Tools

Kubica B.J.

Prace Naukowe Politechniki Warszawskiej. Elektronika

2009

z. 169

121-128

This paper considers the shared-memory parallelization of an interval solver of underdetermined systems of nonlinear equations. Four threading libraries are investigated: OpenMP, POSIX threads, Boost threads and TBB. Directions for further investigations on multi-threaded interval algorithms are outlined.