A Solution of the All-Pairs Shortest Paths Problem on the Cell Broadband Engine Processor

Abstract

The All-Pairs Shortest Paths (APSP) problem is a graph problem which can be solved by a three-nested loop program. The Cell Broadband Engine (Cell/B.E.) is a heterogeneous multi-core processor that offers the high single precision floating-point performance. In this paper, a solution of the APSP problem on the Cell/B.E. is presented. To maximize the performance of the Cell/B.E., a blocked algorithm for the APSP problem is used. The blocked algorithm enables reuse of data in registers and utilizes the memory hierarchy. We also describe several optimization techniques for effective implementation of the APSP problem on the Cell/B.E. The Cell/B.E. achieves the performance of 8.45Gflop/s for the APSP problem by using one SPE and 50.6Gflop/s by using six SPEs.