NDLI: The impact of priority generations in a multi-priority queueing system

Content Provider	IEEE Xplore Digital Library
Author	Krishnamoorthy, A. Narayanan, V.C. Chakravarthy, S.R.
Copyright Year	2009
Description	Author affiliation: Department of Industrial and Manufacturing Engineering Kettering University, Flint, MI 48504, USA (Chakravarthy, S.R.) \|\| Department of Mathematics, Cochin University of Science and Technology, Kochi 682022, India (Krishnamoorthy, A.) \|\| Department of Mathematics Government Engineering College Sreekrishnapuram, 679 513, India (Narayanan, V.C.)
Abstract	In this paper, we consider a preemptive (multiple) priority queueing model in which arrivals occur according to a Markovian arrival process (MAP). An arriving customer belongs to priority type i, 1 ≤ i ≤ m+1, with probability p. The highest priority, labeled as 0, is generated by other priority customers while waiting in the system and not otherwise. Also, a customer of priority i can turn into a priority j, j ≠ i, 1 ≤ i, j ≤ m + 1, customer, after a random amount of time that is assumed to be exponentially distributed with parameter depending on the priority type. The waiting spaces for all but priority type m+1 are assumed to be finite. The (m+1)-st priority customers have unlimited waiting space. At any given time, the system can have at most one highest priority customer. Thus, all priority customers except the (m +1) — st are subject to loss. Customers are served on a first-come-first-served basis within their priority by a single server and the service times are assumed to follow a phase type distribution that may depend on the customer priority type. This queueing model, which is a level-dependent quasi-birth-and-death process, is amenable for investigation algorithmically through the well-known matrix-analytic methodology. However, here we propose to study through simulation using ARENA, a powerful simulation software as some key measures such as the waiting time distributions are highly complex to characterize analytically. The simulated results for a few scenarios are presented.
Starting Page	1622
Ending Page	1633
File Size	981184
Page Count	12
File Format	PDF
ISBN	9781424457700
e-ISBN	9781424457717
DOI	10.1109/WSC.2009.5429269
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Queueing analysis Analytical models Mathematics Government Educational institutions Manufacturing industries Virtual manufacturing Software measurement Time measurement Medical services
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

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