Optimality gaps in asymptotic dimensioning of many-server systems

J. Sanders; S.C. Borst; A.J.E.M. Janssen; J.S.H. van Leeuwaarden

doi:10.1016/j.orl.2016.03.003

Optimality gaps in asymptotic dimensioning of many-server systems

J. Sanders, S.C. Borst, A.J.E.M. Janssen, J.S.H. van Leeuwaarden

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (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 language	English
Pages (from-to)	359-365
Journal	Operations Research Letters
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/j.orl.2016.03.003
Publication status	Published - May 2016

Keywords

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

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10.1016/j.orl.2016.03.003

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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.",

year = "2016",

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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.

KW - QED regime

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

M3 - Article

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VL - 44

SP - 359

EP - 365

JO - Operations Research Letters

JF - Operations Research Letters

IS - 3

ER -

Optimality gaps in asymptotic dimensioning of many-server systems

Abstract

Keywords

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