Branching-type polling systems with large setups

E.M.M. Winands

doi:10.1007/s00291-009-0174-7

Branching-type polling systems with large setups

E.M.M. Winands

Mathematics

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

164 Downloads (Pure)

Abstract

The present paper considers the class of polling systems that allow a multi-type branching process interpretation. This class contains the classical exhaustive and gated policies as special cases. We present an exact asymptotic analysis of the delay distribution in such systems, when the setup times tend to infinity. The motivation to study these setup time asymptotics in polling systems is based on the specific application area of base-stock policies in inventory control. Our analysis provides new and more general insights into the behavior of polling systems with large setup times. © 2009 The Author(s).

Original language	English
Pages (from-to)	77-97
Journal	OR Spectrum: Quantitative Approaches in Management
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/s00291-009-0174-7
Publication status	Published - 2011

Access to Document

10.1007/s00291-009-0174-7

10Final published version, 230 KB

Persistent URL (handle)

Persistent link

Cite this

@article{ad3b5c29aa9a40a1a3633e021e8df59d,

title = "Branching-type polling systems with large setups",

abstract = "The present paper considers the class of polling systems that allow a multi-type branching process interpretation. This class contains the classical exhaustive and gated policies as special cases. We present an exact asymptotic analysis of the delay distribution in such systems, when the setup times tend to infinity. The motivation to study these setup time asymptotics in polling systems is based on the specific application area of base-stock policies in inventory control. Our analysis provides new and more general insights into the behavior of polling systems with large setup times. {\textcopyright} 2009 The Author(s).",

author = "E.M.M. Winands",

year = "2011",

doi = "10.1007/s00291-009-0174-7",

language = "English",

volume = "33",

pages = "77--97",

journal = "OR Spectrum: Quantitative Approaches in Management",

issn = "0171-6468",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Branching-type polling systems with large setups

AU - Winands, E.M.M.

PY - 2011

Y1 - 2011

N2 - The present paper considers the class of polling systems that allow a multi-type branching process interpretation. This class contains the classical exhaustive and gated policies as special cases. We present an exact asymptotic analysis of the delay distribution in such systems, when the setup times tend to infinity. The motivation to study these setup time asymptotics in polling systems is based on the specific application area of base-stock policies in inventory control. Our analysis provides new and more general insights into the behavior of polling systems with large setup times. © 2009 The Author(s).

AB - The present paper considers the class of polling systems that allow a multi-type branching process interpretation. This class contains the classical exhaustive and gated policies as special cases. We present an exact asymptotic analysis of the delay distribution in such systems, when the setup times tend to infinity. The motivation to study these setup time asymptotics in polling systems is based on the specific application area of base-stock policies in inventory control. Our analysis provides new and more general insights into the behavior of polling systems with large setup times. © 2009 The Author(s).

U2 - 10.1007/s00291-009-0174-7

DO - 10.1007/s00291-009-0174-7

M3 - Article

SN - 0171-6468

VL - 33

SP - 77

EP - 97

JO - OR Spectrum: Quantitative Approaches in Management

JF - OR Spectrum: Quantitative Approaches in Management

IS - 1

ER -

Branching-type polling systems with large setups

Abstract

Access to Document

Persistent URL (handle)

Fingerprint

Cite this