The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time

Li Junping; Chen Anyue

doi:10.1007/s11009-011-9252-9

The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time

Li Junping^*
, Chen Anyue

^*Corresponding author for this work

Central South University
University of Liverpool
Xi'an Jiaotong-Liverpool University

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

11 Citations (Scopus)

Abstract

We consider properties regarding decay parameter and invariant measures for unstable Markovian bulk-arrival Queues with control at idle time. The exact value of the decay parameter, denoted by λ_Z, is firstly revealed. An elegant criterion regarding λ_Z-recurrence and λ_Z-positive is obtained. The corresponding subinvariant and invariant measures are considered and the structure of all the subinvariant and invariant measures are presented.

Original language	English
Pages (from-to)	467-484
Number of pages	18
Journal	Methodology and Computing in Applied Probability
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/s11009-011-9252-9
Publication status	Published - Jun 2013
Externally published	Yes

Keywords

Bulk-arrival queues
Decay parameter
Invariant measures
Invariant vectors
State-dependent control

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10.1007/s11009-011-9252-9

Cite this

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title = "The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time",

abstract = "We consider properties regarding decay parameter and invariant measures for unstable Markovian bulk-arrival Queues with control at idle time. The exact value of the decay parameter, denoted by λZ, is firstly revealed. An elegant criterion regarding λZ-recurrence and λZ-positive is obtained. The corresponding subinvariant and invariant measures are considered and the structure of all the subinvariant and invariant measures are presented.",

keywords = "Bulk-arrival queues, Decay parameter, Invariant measures, Invariant vectors, State-dependent control",

author = "Li Junping and Chen Anyue",

note = "Funding Information: Acknowledgements The authors would like to express their sincere thanks to the anonymous referees and associated editor for providing very helpful comments and suggestions, which have resulted in a much improved presentation of this paper. The work was supported by the National Natural Sciences Foundation of China (No. 11071259, No. 90820302) and by the Fundamental Research Funds for the Central Universities (No. 2010QYZD001).",

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doi = "10.1007/s11009-011-9252-9",

language = "English",

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T1 - The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time

AU - Junping, Li

AU - Anyue, Chen

N1 - Funding Information: Acknowledgements The authors would like to express their sincere thanks to the anonymous referees and associated editor for providing very helpful comments and suggestions, which have resulted in a much improved presentation of this paper. The work was supported by the National Natural Sciences Foundation of China (No. 11071259, No. 90820302) and by the Fundamental Research Funds for the Central Universities (No. 2010QYZD001).

PY - 2013/6

Y1 - 2013/6

N2 - We consider properties regarding decay parameter and invariant measures for unstable Markovian bulk-arrival Queues with control at idle time. The exact value of the decay parameter, denoted by λZ, is firstly revealed. An elegant criterion regarding λZ-recurrence and λZ-positive is obtained. The corresponding subinvariant and invariant measures are considered and the structure of all the subinvariant and invariant measures are presented.

AB - We consider properties regarding decay parameter and invariant measures for unstable Markovian bulk-arrival Queues with control at idle time. The exact value of the decay parameter, denoted by λZ, is firstly revealed. An elegant criterion regarding λZ-recurrence and λZ-positive is obtained. The corresponding subinvariant and invariant measures are considered and the structure of all the subinvariant and invariant measures are presented.

KW - Bulk-arrival queues

KW - Decay parameter

KW - Invariant measures

KW - Invariant vectors

KW - State-dependent control

UR - https://www.scopus.com/pages/publications/84876689205

U2 - 10.1007/s11009-011-9252-9

DO - 10.1007/s11009-011-9252-9

M3 - Article

AN - SCOPUS:84876689205

SN - 1387-5841

VL - 15

SP - 467

EP - 484

JO - Methodology and Computing in Applied Probability

JF - Methodology and Computing in Applied Probability

IS - 2

ER -

The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time

Abstract

Keywords

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