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A many-server queue operating under the earliest deadline first discipline,where the distributions of service time and deadline are generic, is studied atthe law of large numbers scale. Fluid model equations, formulated in terms ofthe many-server transport equation and the recently introduced measure-valuedSkorohod map, are proposed as a means of characterizing the limit. The mainresults are the uniqueness of solutions to these equations, and the law oflarge numbers scale convergence to the solutions.

Law of large numbers for the many-server earliest-deadline-first queue