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The purpose of this note is to show that it is possible to establish amany-server functional strong law of large numbers (FSLLN) for the fraction ofoccupied servers (i.e., the scaled number-in-system) without explicitlytracking either the age or the residual service times of the jobs in anon-Markovian, non-stationary loss model. This considerable analyticalsimplification is achieved by exploiting a semimartingale representation. Thefluid limit is shown to be the unique solution of a Volterra integral equation.

A Many-Server Functional Strong Law For A Non-Stationary Loss Model