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This paper analyzes fluid scale asymptotics of two models of generalizedJackson networks employing the earliest deadline first (EDF) policy. Oneapplies the 'soft' EDF policy, where deadlines are used to determine prioritybut jobs do not renege, and the other implements 'hard' EDF, where jobs renegewhen deadlines expire, and deadlines are postponed with each migration to a newstation. The arrival rates, deadline distribution and service capacity areallowed to fluctuate over time at the fluid scale. Earlier work on EDF networkfluid limits, used as a tool to obtain stability of these networks, addressedonly the soft version of the policy, and moreover did not contain a full fluidlimit result. In this paper, tools that extend the notion of the measure-valuedSkorokhod map are developed and used to establish for the first time fluidlimits for both the soft and hard EDF network models.

Fluid limits for earliest-deadline-first networks