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

Rami Atar, Anup Biswas and Haya Kaspi

Stochastic Processes and their Applications, 2018, vol. 128, issue 7, 2270-2296

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

Keywords: Measure-valued processes; Measure-valued Skorohod map; Many-server transport equation; Fluid limits; Earliest-deadline-first; Least-patient-first; Many-server queues (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spa.2017.09.009

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