We are interested in the complexity of solving the knapsack problem with n input real numbers on a parallel computer with real arithmetic and branching operations. A processor-time tradeoff constraint is derived; in particular, it is shown that an exponential number of processors have to be used if the problem is to be solved in time t ≤ √n/2.
CITATION STYLE
Yao, A. C. C. (1981). On the parallel computation for the knapsack problem. In Proceedings of the Annual ACM Symposium on Theory of Computing (pp. 123–127). Association for Computing Machinery. https://doi.org/10.1145/800076.802465
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