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Branch-and-prune (BP) and branch-and-bound (BB) techniques are commonly used for intelligent search in finding all solutions, or the optimal solution, within a space of interest. The corresponding binary tree structure provides a natural parallelism allowing concurrent evaluation of subproblems using parallel computing technology. Of special interest here are techniques derived from interval analysis, in particular an interval-Newton/generalized-bisection procedure. In this context, we discuss issues of load balancing and work scheduling that arise in the implementation of parallel interval-Newton on a cluster of workstations using message passing, and describe and analyze techniques for this purpose. Results using an asynchronous diffusive load balancing strategy show that a consistently high efficiency can be achieved in solving nonlinear equations, providing excellent scalability, especially with the use of a two-dimensional torus virtual network. The effectiveness of the approach used, especially in connection with a novel stack management scheme, is also demonstrated in the consistent superlinear speedups observed in performing global optimization.

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Cited by 4 publications

References 9 publications

Parallel Branch-and-Bound for Chemical Engineering Applications: Load Balancing and Scheduling Issues

Parallel Branch-and-Bound for Chemical Engineering Applications: Load Balancing and Scheduling Issues

Interval Global Optimization

Dynamic load balancing for parallel interval-Newton using message passing

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