Abstract
We consider three paradigms of computation where the benefits of a parallel solution are greater than usual. Paradigm 1 works on a timevarying input data set, whose size increases with time. In paradigm 2 the data set is fixed, but the processors may fail at any time with a given constant probability. In paradigm 3, the execution of a single operation may require more than one processor, for security or reliability reasons. We discuss the organization of PRAM algorithms for these paradigms, and prove new bounds on parallel speed-up.
This work has been supported by MURST of Italy under a research grant.
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A. Aggarwal and A.K. Chandra. Communication Complexity of PRAMs. Proc. 15th Int. Colloquium on Automata, Languages and Programming (1988) 1–18.
S.G. Akl, M. Cosnard and A.G. Ferreira. Data-movement-intensive problems: two folk theorems in parallel computation revisited. Theoretical Computer Science 95 (1992) 323–337.
M.R. Garey and D.S. Johnson. Computers and Intractability. Freeman, San Francisco, 1978.
P.C. Kanellakis and A.A. Shvartsman. Efficient parallel algorithms can be made robust. In Proc. 8th Annual ACM Symp. on Principles of Distributed Computing (1989) 211–222.
R.M. Karp and V. Ramachandran A survey of parallel algorithms for shared memory machines. In Handbook of Theoretical Computer Science North Holland, New York NY (1990) 869–941.
Z.M. Kedem, K.V. Palem and P.G. Spirakis. Efficient robust parallel computations. In Proc. 22nd Annual ACM Symp. on Theory of Computing (1990) 590–599.
F. Luccio and L. Pagli. The p-shovelers problem. (Computing with time-varying data). SIGACT News 23, 2 (1992) 72–75
C. Martel, R. Subramonian, A. Park. Asynchronous PRAMs are (almost) as good as synchronous prams. In Proc. 31st Symp. on Foundations of Computer Science (1990) 590–599.
W. Paul. On line simulation of k+1 tapes by k tapes requires nonlinear time. Information and Control 53 (1982) 1–8.
K.S. Trivedi. Probability and statistics with reliability, queueing, and computer science applications. Prentice-Hall, Englewood Cliffs NJ (1982).
U. Vishkin. Can parallel algorithms enhance serial implementation?. SIGACT News 22, 4 (1991) 63.
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© 1993 Springer-Verlag Berlin Heidelberg
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Luccio, F., Pagli, L., Pucci, G. (1993). Three non conventional paradigms of parallel computation. In: Meyer, F., Monien, B., Rosenberg, A.L. (eds) Parallel Architectures and Their Efficient Use. Nixdorf 1992. Lecture Notes in Computer Science, vol 678. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56731-3_16
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DOI: https://doi.org/10.1007/3-540-56731-3_16
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