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This paper presents Markov chain models for analyzing the extent of memory interference in multiprocessor systems with a crosspoint switch for processor-memory communication. Processor behavior is simplified to an ordered sequence of a memory request followed by a certain amount of processing time. The results predicted by the model are compared with some simulation results and some actual measurements on C.mmp, a multiprocessor system being built at Carnegie-Mellon University.
Dileep Bhandarkar (1975) studied this question.