By Selim G. Akl

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LEIGHTON] Leighton, F. , 1983. [LEISERSON] Leiserson, C. , 1983. [LIPOVSKI] Lipovski, G. , ParallelComputing: Theory and Practice,Wiley, New York, 1987. , 1972. [MARSLAND] Marsland, T. , Parallel search of strongly ordered game trees, Computing Surveys, Vol. 14, No. 4, December 1982, pp. 533-551. [MEAD] Mead, C. , and Conway, L. , 1980. , Randomized and deterministic simulations of PRAMs by parallel machines with restricted granularity of parallel memories, Acta Informatica, Vol. 21, 1984, pp.

Our purpose in this chapter is to present a parallel algorithm for solving this problem on the shared-memory SIMD model. The algorithm will be designed to meet a number of goals, and our analysis will then confirm that these goals have indeed been met. 2 by defining the selection problem formally and deriving a lower bound on the number of steps required for solving it on a sequential computer. This translates into a lower bound on the cost of any parallel algorithm for selection. 3 an optimal sequential algorithm is presented.

Complexity of Sequential and ParallelNumerical Algorithms, Academic, New York, 1973. , Algorithm-Structured Computer Arrays and Networks, Academic, New York, 1984. [ULLMAN] Ullman, J. , 1984. , A probabilistic relation between desirable and feasible models of parallel 38 Introduction Chap. , May 1984, pp. , 1984. , How to share memory in a distributed system, Proceedings of the 25th Annual IEEE Symposium on Foundations of Computer Science, Singer Island, Florida, October 1984, pp. , 1984. , Implementation of simultaneous memory address access in models that forbid it, Journal of Algorithms, Vol.

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