New publications

Optimality gaps in asymptotic dimensioning of many-server systems

We have submitted Optimality gaps in asymptotic dimensioning of many-server systems, and it is currently under review. This is joint work between Jaron Sanders, Sem Borst, Johan van Leeuwaarden, and Guido Janssen. The arXiv preprint can be obtained via this link.

Update May 5th, 2016. The article has been accepted for publication and was published in Operations Research Letters 44(3).

Optimality gaps in asymptotic dimensioning of many-server systems

Abstract

The Quality-and-Efficiency-Driven (QED) regime provides a basis for solving asymptotic dimensioning problems that trade off revenue, costs and service quality. We derive bounds for the optimality gaps that capture the differences between the true optimum and the asymptotic optimum based on the QED approximations. Our bounds generalize earlier results for classical many-server systems. We also apply our bounds to a many-server system with threshold control.

Preprint

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Jaron
Jaron
Jaron Sanders received in 2012 M.Sc. degrees in Mathematics and Physics from the Eindhoven University of Technology, The Netherlands, as well as a PhD degree in Mathematics in 2016. After he obtained his PhD degree, he worked as a post-doctoral researcher at the KTH Royal Institute of Technology in Stockholm, Sweden. Jaron Sanders then worked as an assistant professor at the Delft University of Technology, and now works as an assistant professor at the Eindhoven University of Technology. His research interests are applied probability, queueing theory, stochastic optimization, stochastic networks, wireless networks, and interacting (particle) systems.
https://www.jaronsanders.nl