A SIMD APPROACH TO PARALLEL HEURISTIC-SEARCH

Serial search algorithms often exhibit exponential run times and may require an exponential amount of storage as well. Thus, the design of parallel search algorithms with limited memory is of obvious interest. This paper presents an efficient SIMD parallel algorithm, called IDPS (for iterative-deepening parallel search). At a broad level IDPS is a parallel version of IDA*. While generically we have called our algorithm an IDPS, performance of four variants of it has been studied through experiments conducted on the well-known test-bed problem for search algorithms, namely the Fifteen Puzzle. During the experiments, data were gathered under two different static load balancing schemes. Under the first scheme, an unnormalized average efficiency of approximately 3/4 was obtained for 4K, 8K, and 16K processors. Under the second scheme, unnormalized average efficiencies of 0.92 and 0.76, and normalized average efficiencies of 0.70 and 0.63 were obtained for 8K and 16K processors, respectively. We show (as shown previously only for MIMD machines) that for admissible search, high average speedup can be obtained for problems of significant size. We believe that this research will enhance Al problem solving using parallel heuristic search algorithms.