Scaled control in the QED regime

2013/07/04 by A. J. E. M. Janssen, Janssen, A. J. E. M., Johan S. H. van Leeuwaarden +3
Business, Management and Accounting · Computer Science · Engineering · #34E05 #60J60 #60J70 #60K25 #Advanced Queuing Theory Analysis #Advanced Wireless Network Optimization #FOS: Mathematics #Network Traffic and Congestion Control #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1307.1361

openalex publication_date 2013/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop many-server asymptotics in the QED regime for models with admission control. The admission control, designed to reduce the incoming traffic in periods of congestion, scales with the size of the system. For a class of Markovian models with this scaled control, we identify the QED limits for two stationary performance measures. We also derive corrected QED approximations, generalizing earlier results for the Erlang B, C and A models. These results are useful for the dimensioning of large systems equipped with an active control policy. In particular, the corrected approximations can be leveraged to establish the optimality gaps related to square-root staffing and asymptotic dimensioning with admission control.

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