On Convergence of Multidimensional Workload with Dominant Service Duration to a Stable Process

摘要

A service system model introduced by I. Kai and M. S. Takku is considered. A limit theorem on the convergence of finite-dimensional distributions of the total workload process with multidimensional resource to the corresponding distributions of multivariate stable process is proved. The situation is considered when the service durations prevails over the values of multidimensional resources.