Fluid Limits for Shortest Job First with Aging

Abstract

We investigate fluid scaling of single server queueing systems under the shortest job first with aging (SJFA) scheduling policy. We use the measure-valued Skorokhod map to characterize the fluid limit for SJFA queues with a general aging rule and establish convergence results to the fluid limit. We treat in detail examples of linear and exponential aging.

References in corpus (2)

• Heavy traffic analysis for EDF queues with reneging
• Diffusion limits for shortest remaining processing time queues under nonstandard spatial scaling