NDLI: A single-server queue with vacations and gated time-limited service

Content Provider	IEEE Xplore Digital Library
Author	Leung, K.K. Eisenberg, M.
Copyright Year	1989
Description	Author affiliation: AT&T Bell Lab., Holmdel, NJ, USA (Leung, K.K.; Eisenberg, M.)
Abstract	An analysis is conducted of an M/G/1 queue with server vacations and gated time-limited service. The authors derive a functional equation which characterizes the amount of work, U/sub p/, at the server's return from a vacation. To solve the equation, they use a numerical technique in which the complementary cumulative function for U/sub p/ is closely approximated by a weighted sum of Laguerre functions with unknown coefficients. The functional equation is transformed into a set of linear equations from which the coefficients can be computed. Using the work-decomposition and PASTA (Poisson Arrivals Sec Time Averages) properties, the average customer waiting time can be readily obtained. Several numerical examples are included to demonstrate the validity of the technique. The model studied is applicable to analyzing a specific recently proposed communication channel that alternately serves voice and data traffic, token-passing networks with token-holding timers, and other communication and computer systems where times are used to allocate service among multiple types of customers.
Starting Page	897
Ending Page	906
File Size	637691
Page Count	10
File Format	PDF
ISBN	0818619201
DOI	10.1109/INFCOM.1989.101540
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1989-04-23
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Traffic control Equations Network servers Telecommunication traffic Communication system traffic control Queueing analysis Delay Speech analysis Communication channels Computer networks
Content Type	Text
Resource Type	Article

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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
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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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