Relaxation Phenomena in Supercomputer Jobs

Abstract

We show that the distribution of supercomputer job submission interarrival times can be understood as a relaxation process. The process of deciding when to submit a job involves a complicated set of interactions between the users themselves, the queuing algorithm, the supercomputer, and a hierarchy of other decision makers. This is analogous to the hierarchically constrained dynamics found in glassy relaxation modelled by a stretched exponential. Empirical supercomputer log data shows that the tails of the distributions are well fit by a stretched exponential.