Proceedings of the 22nd International Conference on Parallel Architectures and Compilation Techniques (1999)
Newport Beach, California
Oct. 12, 1999 to Oct. 16, 1999
Tadanori Nakagawa , Hiroshima University
Satoshi Fujita , Hiroshima University
This paper proposes two techniques for obtaining a sharp lower bound for the multiprocessor scheduling problem (MSP) with non-negligible communication delay. In the proposed techniques, we apply the notion of inevitable communication delay to obtain a nontrivial lower bound on the scheduling length. The effectiveness of the derived bound is evaluated by conducting experiments on several randomly generated instances. By the results of the experiments, it is shown that the proposed techniques generate a very sharp lower bound that is at least 97.5 % of an upper bound, when the number of processors is not very small (e.g., at least 10) and the maximum communication cost is not very large (e.g., less than or equal to the minimum execution cost).
Multiprocessor scheduling problem, lower bound, inevitable communication delay
Tadanori Nakagawa, Satoshi Fujita, "Lower Bounding Techniques for the Multiprocessor Scheduling Problem with Communication Delay", Proceedings of the 22nd International Conference on Parallel Architectures and Compilation Techniques, vol. 00, no. , pp. 212, 1999, doi:10.1109/PACT.1999.807534