NDLI: Stationary Analysis of a Fluid Queue Driven by Some Countable State Space Markov Chain

Please wait, while we are loading the content...

Stationary Analysis of a Fluid Queue Driven by Some Countable State Space Markov Chain

Content Provider	Semantic Scholar
Author	Guillemin, Fabrice Sericola, Bruno
Copyright Year	2007
Abstract	Motivated by queueing systems playing a key role in the performance evaluation of telecommunication networks, we analyze in this paper the stationary behavior of a fluid queue, when the instantaneous input rate is driven by a continuous-time Markov chain with finite or infinite state space. In the case of an infinite state space and for particular classes of Markov chains with a countable state space, such as quasi birth and death processes or Markov chains of the G/M/1 type, we develop an algorithm to compute the stationary probability distribution function of the buffer level in the fluid queue. This algorithm relies on simple recurrence relations satisfied by key characteristics of an auxiliary queueing system with normalized input rates.
Starting Page	521
Ending Page	540
Page Count	20
File Format	PDF HTM / HTML
DOI	10.1007/s11009-006-9007-1
Alternate Webpage(s)	https://www.researchgate.net/profile/Fabrice_Guillemin/publication/225141729_Stationary_Analysis_of_a_Fluid_Queue_Driven_by_Some_Countable_State_Space_Markov_Chain/links/0912f509b85ba4b24d000000.pdf
Alternate Webpage(s)	http://www.irisa.fr/dionysos/pages_perso/sericola/PAPIERS/J34.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s11009-006-9007-1
Volume Number	9
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in