Towards a unifying theory on branching-type polling models in heavy traffic

R.D. van der Mei

doi:10.1007/s11134-007-9044-7

Towards a unifying theory on branching-type polling models in heavy traffic

R.D. van der Mei

Mathematics

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

287 Downloads (Pure)

Abstract

For a broad class of polling models the evolution of the system at specific embedded polling instants is known to constitute a multi-type branching process (MTBP) with immigration. In this paper it is shown that for this class of polling models the vector that describes the state of the system at these polling instants, say X=(X

Original language	English
Pages (from-to)	29-46
Journal	Queueing Systems
Volume	57
DOIs	https://doi.org/10.1007/s11134-007-9044-7
Publication status	Published - 2008

Bibliographical note

QUESTA2008

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 10 Reduced Inequalities

Access to Document

10.1007/s11134-007-9044-7

FulltextFinal published version, 478 KB

Persistent URL (handle)

Persistent link

Cite this

@article{55533209936a4d5d9112f8f9dd8db15a,

title = "Towards a unifying theory on branching-type polling models in heavy traffic",

abstract = "For a broad class of polling models the evolution of the system at specific embedded polling instants is known to constitute a multi-type branching process (MTBP) with immigration. In this paper it is shown that for this class of polling models the vector that describes the state of the system at these polling instants, say X=(X",

author = "\{van der Mei\}, R.D.",

note = "QUESTA2008 ",

year = "2008",

doi = "10.1007/s11134-007-9044-7",

language = "English",

volume = "57",

pages = "29--46",

journal = "Queueing Systems",

issn = "0257-0130",

publisher = "Springer Netherlands",

}

TY - JOUR

T1 - Towards a unifying theory on branching-type polling models in heavy traffic

AU - van der Mei, R.D.

N1 - QUESTA2008

PY - 2008

Y1 - 2008

N2 - For a broad class of polling models the evolution of the system at specific embedded polling instants is known to constitute a multi-type branching process (MTBP) with immigration. In this paper it is shown that for this class of polling models the vector that describes the state of the system at these polling instants, say X=(X

AB - For a broad class of polling models the evolution of the system at specific embedded polling instants is known to constitute a multi-type branching process (MTBP) with immigration. In this paper it is shown that for this class of polling models the vector that describes the state of the system at these polling instants, say X=(X

UR - https://www.scopus.com/pages/publications/35548972990

UR - https://www.scopus.com/pages/publications/35548972990#tab=citedBy

U2 - 10.1007/s11134-007-9044-7

DO - 10.1007/s11134-007-9044-7

M3 - Article

SN - 0257-0130

VL - 57

SP - 29

EP - 46

JO - Queueing Systems

JF - Queueing Systems

ER -

Towards a unifying theory on branching-type polling models in heavy traffic

Abstract

Bibliographical note

UN SDGs

Access to Document

Persistent URL (handle)

Other files and links

Fingerprint

Cite this