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An efficient approximation to wait time in M/M/c queues with application to staffing planning

Published: 18 March 2005 Publication History

Abstract

Planning departments for services such as support centers need to estimate the minimal level of resources needed to meet QoS requirements. We present a fast and numerically robust approximation to a typical QoS requirement, the wait time probability for an M/M/c queue. We then show its superiority to straightforward implementations, which have higher order of computational complexity and suffer from underflows and overflows. A possible extension of this model, once staffing levels have been determined, is to use a similar algorithm to size a VOIP network. We envision a method with similar numerical efficiency to the one reported here, except the queueing model needs to be GI/G/1 to evaluate the data network with VOIP in a DiffSrv Expedited Forwarding class.

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Cooper, R., C. "Introduction to Queuing Theory" 2nd ed., John Wiley 1981.
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Fischer, M. J. and Masi, D. M., "Voice over Internet Protocol (VoIP) FTS2001 Access Sizing Tool and Break-Even Analysis," The Telecommunications Review, Spring 1999, pp. 97--105.
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Gross D. and Harris, C. M., "Fundamentals of Queuing Theory" 3rd ed., John Wiley, 1998.
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  • (2010)A bilevel model for preventive healthcare facility network design with congestionIIE Transactions10.1080/0740817X.2010.49150042:12(865-880)Online publication date: 30-Sep-2010

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cover image ACM Conferences
ACMSE '05 vol 2: Proceedings of the 43rd annual ACM Southeast Conference - Volume 2
March 2005
430 pages
ISBN:1595930590
DOI:10.1145/1167253
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 18 March 2005

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ACM SE05
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ACM SE05: ACM Southeast Regional Conference 2005
March 18 - 20, 2005
Georgia, Kennesaw

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  • (2010)A bilevel model for preventive healthcare facility network design with congestionIIE Transactions10.1080/0740817X.2010.49150042:12(865-880)Online publication date: 30-Sep-2010

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