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A hierarchical program behavior model in a multitasking environment was proposed and applied to a cache multitasking model for performance evaluation. The hierarchical program behavior model consists of the task switching model, execution interval model, and the line (block) reference behavior model for each individual task. An execution interval is a continuous execution of a task between task switches. As a task executes in an execution interval, it brings its lines into a cache according to the line reference behavior model. The Stack Growth Function (SGF) model was used for this purpose. The state of a cache is defined by the numbers of lines of the individual tasks. The state of a cache at task switches then constitutes an imbedded Markov chain. Although a set of simultaneous linear equations in steady state cannot exactly be solved practically because of its excessively large state space, it can be solved very efficiently by a Monte-Carlo simulation. The model was validated against the miss rate measured by a hardware monitor in a controlled environment on a mainframe running IBM MVS operating system.

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A cache multitasking model

Kobayashi, Makoto
ACM SIGMETRICS Performance Evaluation Review , Volume 20 (2)
Association for Computing MachineryNov 1, 1992

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