The Power of Dominance Relations in Branch-and-Bound Algorithms
Journal of the ACM (JACM)
Parallel processing of best-first branch and bound algorithms on distributed memory multiprocessors
Parallel processing of best-first branch and bound algorithms on distributed memory multiprocessors
High performance hypercube communications
C3P Proceedings of the third conference on Hypercube concurrent computers and applications: Architecture, software, computer systems, and general issues - Volume 1
What have we learnt from using real parallel machines to solve real problems?
C3P Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2
Branch-and-bound algorithms on a hypercube
C3P Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2
An Inherently Parallel Method for Heuristic Problem-Solving: Part I-General Framework
IEEE Transactions on Parallel and Distributed Systems
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Branch and Bound (BB) algorithms are a generalization of many search algorithms used in Artificial Intelligence and Operations Research. This paper presents our work on implementing BB algorithms on hypercube multiprocessors. The 0-1 integer linear programming (ILP) problem is taken as an example because it can be implemented to capture the essence of BB search algorithms without too many distracting problem specific details. A BB algorithm for the 0-1 ILP problem is discussed. Two parallel implementations of the algorithm on hypercube multiprocessors are presented. The two implementations demonstrate some of the tradeoffs involved in implementing these algorithms on multiprocessors with no shared memory, such as hypercubes. Experimental results from the NCUBE/six show the performance of the two implementations of the algorithm. Future research work is discussed.