Abstract
The Parallel Random Access Machine or PRAM model, has been a much employed parallel algorithm development tool for a number of years. As such, many important problems have been solved on this model. Accordingly, considerable attention has been given to the process of simulating PRAM models on more realistic architectures. The purpose of this paper is to present an efficient simulation of the Concurrent Read Exclusive Write PRAM model by the crossbar connected machine (CCM). In addition to simulation, it is proven that all lower bounds for the CREW PRAM directly apply to the CCM. This is the first presentation of algorithmic lower bounds for a crossbar based model. The buses of the network are assumed to have a broadcast delay of δ(n). Recent implementations of the crossbar network in CMOS VLSI technology support the viability of the CCM model. It is the communication flexibility of the crossbar network which supports the PRAM simulations in a very straightforward manner without the complex interconnection systems or high overhead algorithms of many prior simulations.
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