NDLI: A queuing model with discrete service speeds

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A queuing model with discrete service speeds

Content Provider	ACM Digital Library
Author	Asai, H. Lee, S. C.
Abstract	An input source of the model is generated in accordance with a probability density function Pr (n,t), where n and t are a spatial variable and a time variable, respectively. Thus the input arrives as a time-variable train. A queue consists of m blocks, and each block consists of a finite number of small waiting spaces. A single service facility is used in the model, and its service processing speed is a constant that is selected from several operational rates. The next higher operational speed and the next lower operational speed are twice as fast as and half as slow as the present constant speed, respectively. The service discipline is first-come-first-served. When the needed queuing space exceeds the queuing space available, a congestion or input loss occurs. Minimizing such input loss with the least admissible queuing space and the slowest possible service speed is desirable. When the service facility is a machine, it may be easier and more economical to increase the service speed operations rather than to furnish a larger amount of queuing space. The model is simulated on a digital computer. Two service Speed controls are examined in the simulation. The first is a deterministic control, and the second is a probabilistic control. In the former, when the amount of the queuing space available is almost consumed, the service speed is upgraded to the next higher rate. The speed remains at this rate until the amount of unused queuing space increases. Later, the speed is downgraded to the original rate. In the latter, control is switched probabilistically no matter what the queuing space may be but it can specify a service processing distribution among different speeds during a long time period. The simulated results or the probability of congestion Pe with various queuing space lengths and service speeds is presented. This information may be useful for understanding input loss phenomena as well as for designing an efficient low-cost queuing system.
Starting Page	161
Ending Page	167
Page Count	7
File Format	PDF
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1976-08-10
Access Restriction	Subscribed
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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