An Analysis of a Large-Scale Machine Repair Model

A machine repair model under general operating/repair distributions is considered in the Quality-and-Efficiency Driven asymptotic (QED) regime: both the number of machines and the number of repairmen are large, while the capacity and offered load relate via the square-root staffing rule. Process-level convergence of the number of broken machines is established—the limit is in terms of the corresponding tractable infinite-repairmen process, a stationary centered Gaussian process.