Optimality gaps in asymptotic dimensioning of many-server systems

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)359-365
JournalOperations Research Letters
Volume44
Issue number3
DOIs
Publication statusPublished - May 2016

Keywords

  • QED regime
  • Halfin-Whitt regime
  • Queues in heavy traffic
  • Asymptotic analysis
  • Asymptotic dimensioning
  • Optimality gap

Cite this

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title = "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.",
keywords = "QED regime, Halfin-Whitt regime, Queues in heavy traffic, Asymptotic analysis, Asymptotic dimensioning, Optimality gap",
author = "J. Sanders and S.C. Borst and A.J.E.M. Janssen and {van Leeuwaarden}, J.S.H.",
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language = "English",
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Optimality gaps in asymptotic dimensioning of many-server systems. / Sanders, J.; Borst, S.C.; Janssen, A.J.E.M.; van Leeuwaarden, J.S.H.

In: Operations Research Letters, Vol. 44, No. 3, 05.2016, p. 359-365.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Optimality gaps in asymptotic dimensioning of many-server systems

AU - Sanders, J.

AU - Borst, S.C.

AU - Janssen, A.J.E.M.

AU - van Leeuwaarden, J.S.H.

PY - 2016/5

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N2 - 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.

AB - 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.

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KW - Halfin-Whitt regime

KW - Queues in heavy traffic

KW - Asymptotic analysis

KW - Asymptotic dimensioning

KW - Optimality gap

U2 - 10.1016/j.orl.2016.03.003

DO - 10.1016/j.orl.2016.03.003

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SP - 359

EP - 365

JO - Operations Research Letters

JF - Operations Research Letters

SN - 0167-6377

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