  This paper analyzes fluid scale asymptotics of two models of generalized
Jackson networks employing the earliest deadline first (EDF) policy. One
applies the 'soft' EDF policy, where deadlines are used to determine priority
but jobs do not renege, and the other implements 'hard' EDF, where jobs renege
when deadlines expire, and deadlines are postponed with each migration to a new
station. The arrival rates, deadline distribution and service capacity are
allowed to fluctuate over time at the fluid scale. Earlier work on EDF network
fluid limits, used as a tool to obtain stability of these networks, addressed
only the soft version of the policy, and moreover did not contain a full fluid
limit result. In this paper, tools that extend the notion of the measure-valued
Skorokhod map are developed and used to establish for the first time fluid
limits for both the soft and hard EDF network models.
