Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness

This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and multiple server vacations. We derive the probability generating function of the queue length and the mean queue length. We then present computational experiences and compare the...

Full description

Bibliographic Details
Main Authors: Lee, Ho Woo, Cheon, Sahng Hoon, Lee, Se Won, Baek, Jung Woo
Other Authors: School of Mechanical and Aerospace Engineering
Format: Journal Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/96937
http://hdl.handle.net/10220/10251
_version_ 1811697119225970688
author Lee, Ho Woo
Cheon, Sahng Hoon
Lee, Se Won
Baek, Jung Woo
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Lee, Ho Woo
Cheon, Sahng Hoon
Lee, Se Won
Baek, Jung Woo
author_sort Lee, Ho Woo
collection NTU
description This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and multiple server vacations. We derive the probability generating function of the queue length and the mean queue length. We then present computational experiences and compare the MAP queue with the Poisson queue.
first_indexed 2024-10-01T07:50:11Z
format Journal Article
id ntu-10356/96937
institution Nanyang Technological University
language English
last_indexed 2024-10-01T07:50:11Z
publishDate 2013
record_format dspace
spelling ntu-10356/969372023-03-04T17:18:08Z Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness Lee, Ho Woo Cheon, Sahng Hoon Lee, Se Won Baek, Jung Woo School of Mechanical and Aerospace Engineering This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and multiple server vacations. We derive the probability generating function of the queue length and the mean queue length. We then present computational experiences and compare the MAP queue with the Poisson queue. Accepted version 2013-06-12T05:31:57Z 2019-12-06T19:36:52Z 2013-06-12T05:31:57Z 2019-12-06T19:36:52Z 2007 2007 Journal Article Lee, H. W., Cheon, S. H., Lee, S. W., & Baek, J. W. (2008). Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness. Discrete Event Dynamic Systems, 18(4), 537-562. 0924-6703 https://hdl.handle.net/10356/96937 http://hdl.handle.net/10220/10251 10.1007/s10626-007-0024-1 173644 en Discrete event dynamic systems © 2007 Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Discrete Event Dynamic Systems, Springer. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s10626-007-0024-1]. application/pdf
spellingShingle Lee, Ho Woo
Cheon, Sahng Hoon
Lee, Se Won
Baek, Jung Woo
Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
title Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
title_full Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
title_fullStr Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
title_full_unstemmed Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
title_short Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
title_sort performance of the map g 1 queue under the dyadic control of workload and server idleness
url https://hdl.handle.net/10356/96937
http://hdl.handle.net/10220/10251
work_keys_str_mv AT leehowoo performanceofthemapg1queueunderthedyadiccontrolofworkloadandserveridleness
AT cheonsahnghoon performanceofthemapg1queueunderthedyadiccontrolofworkloadandserveridleness
AT leesewon performanceofthemapg1queueunderthedyadiccontrolofworkloadandserveridleness
AT baekjungwoo performanceofthemapg1queueunderthedyadiccontrolofworkloadandserveridleness