Show simple item record

dc.contributor.authorGranville, Kevin
dc.contributor.authorDrekic, Steve
dc.date.accessioned2021-09-27 14:52:13 (GMT)
dc.date.available2021-09-27 14:52:13 (GMT)
dc.date.issued2021-06-02
dc.identifier.urihttps://doi.org/10.1007/s11134-021-09706-x
dc.identifier.urihttp://hdl.handle.net/10012/17538
dc.descriptionThis is a post-peer-review, pre-copyedit version of an article published in Queueing Systems. The final authenticated version is available online at: https://doi.org/10.1007/s11134-021-09706-xen
dc.description.abstractWe introduce a new approximation procedure to improve the accuracy of matrix analytic methods when using truncated queueing models to analyse infinite buffer systems. This is accomplished through emulating the presence of unobserved waiting customers beyond the finite buffer that are able to immediately enter the system following an observed customer’s departure. We show that this procedure results in exact steady-state probabilities at queue lengths below the buffer for truncated versions of the classic M/M/1, M/M/1+M, M/M/∞, and M/PH/1 queues. We also present two variants of the basic procedure for use within a M/PH/1+M queue and a N-queue polling system with exhaustive service, phase-type service and switch-in times, and exponential impatience timers. The accuracy of these two variants in the context of the polling model are compared through several numerical examples.en
dc.description.sponsorshipSteve Drekic and Kevin Granville acknowledge the financial support from Funder 1, the Natural Sciences and Engineering Research Council of Canada through its Discovery Grants program (RGPIN-2016-03685) || Funder 2, and Postgraduate Scholarship-Doctoral program.en
dc.language.isoenen
dc.publisherSpringeren
dc.relation.ispartofseriesQueueing Syst;
dc.subjectMatrix analytic methodsen
dc.subjectPolling modelen
dc.subjectQuasi-birth-and-death processen
dc.subjectRenegingen
dc.subjectPhase-type distributionen
dc.subjectTruncationen
dc.titleThe Unobserved Waiting Customer Approximationen
dc.typeArticleen
dcterms.bibliographicCitationGranville, K., Drekic, S. The unobserved waiting customer approximation. Queueing Syst (2021). https://doi.org/10.1007/s11134-021-09706-xen
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Statistics and Actuarial Scienceen
uws.typeOfResourceTexten
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record


UWSpace

University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages