English

Optimality gaps in asymptotic dimensioning of many-server systems

Optimization and Control 2015-11-06 v1 Probability

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.

Keywords

Cite

@article{arxiv.1511.01798,
  title  = {Optimality gaps in asymptotic dimensioning of many-server systems},
  author = {Jaron Sanders and S. C. Borst and A. J. E. M. Janssen and J. S. H. van Leeuwaarden},
  journal= {arXiv preprint arXiv:1511.01798},
  year   = {2015}
}

Comments

17 pages, 2 figures, 2 tables