Fabrizio Luccio
Abstract
In a winter morning one man shovels the snow from his driveway. When the job is finished he can get out with the car. In the neighbouring driveway p men remove the same amount of snow in one p-th of time. The next morning is snowy. As the single shoveler goes on, new snow falls making his job harder. The neighbouring shovelers work for a shorter time, and a smaller amount of snow falls meanwhile, so that they clean the driveway in less than one p-th of time. This seems to conflict with a folklore theorem on parallel speed-up.
- [Ak] S.G. Akl, "Memory access in models of parallel computation: from folklore to sinergy and beyond", Proc. WADS 91. In: LNCS 519, Sringer Verlag (1991) 92-104.Google Scholar
- [KR] R.M. Karp and V. Ramachandran, "A survey of parallel algorithms for shared memory machines", Handbook of Theor. Comp. Sci., North Holland (1990) 869-941. Google ScholarDigital Library
- [LP] F. Luccio and L. Pagli, "The p-shovelers problem. (Computing with time-varying data)", Dipartimento di Informatica, Università di Pisa, Tech. Rep. TR (Feb.1992).Google Scholar
- [Vi] U. Vishkin, "Can parallel algorithms enhance serial implementation?", SIGACT News 22 (Fall 1991) 63. Google ScholarDigital Library
Index Terms
- The p-shovelers problem: (computing with time-varying data)
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