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We presentand analyze a general model of rollback in parallel processing, The analysis points out three possible modes where rollback may become excessive; we provide an example of each type.We identify the parameters that determme a stability, or efficiency region for the simulation.Our analysis suggests the possibility of a dangerous "phase-transition" from stabil ity to instability y in the parameter space.In particular, a rollback algorlthm may work efficiently for a small system but become inefficient for a large system.
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