## MEMORY INTERFERENCE MODELS WITH VARIABLE CONNECTION TIME |

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accessing a memory approximation block size coefficient of variation Comparisons with simulation continuous time models cycles with probability defined develops two discrete discrete random variable discrete time models equation 12 equivalent rate model ERROR 20 expected number expected value exponentially distributed random expressed as follows FCT model fixed number flow model geometric distribution Illb increase in Cv interference that occurs limiting probabilities Markov chain model mass function f(i memory bandwidth memory interference models memory module memory request model of equation model requires models developed multiprocessor system needs i cycles number of system occurs during memory performance measures possibilities can occur probability mass function proc processor enters processor utilization proper special random arrival rate-adjusted probabilistic model relaxation of assumption request is accepted request is directed request rate Section shown in Figure simulation results steady state flow stochastic process system cycle tion transition probabilities variable connection VCT processor assumption VCT systems