Approximation of multiserver retrial queues by means of generalized truncated models

Simple item page
dc.citation.epage66en_US
dc.citation.issueNumber1en_US
dc.citation.spage51en_US
dc.citation.volumeNumber10en_US
dc.contributor.authorAnisimov, V. V.en_US
dc.contributor.authorArtalejo, J. R.en_US
dc.date.accessioned2019-01-31T12:14:14Z
dc.date.available2019-01-31T12:14:14Z
dc.date.issued2002en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractIt is well-known that an analytical solution of multiserver retrial queues is difficult and does not lead to numerical implementation. Thus, many papers approximate the original intractable system by the so-called generalized truncated systems which are simpler and converge to the original model. Most papers assume heuristically the convergence but do not provide a rigorous mathematical proof. In this paper, we present a proof based on a synchronization procedure. To this end, we concentrate on the M/M/c retrial queue and the approximation developed by Neuts and Rao (1990). However, the methodology can be employed to establish the convergence of several generalized truncated systems and a variety of Markovian multiserver retrial queues.en_US
dc.description.provenanceSubmitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2019-01-31T12:14:14Z No. of bitstreams: 1 Approximation_of_multiserver_retrial_queues_by_means_of_generalized_truncated_models.pdf: 723396 bytes, checksum: bd3b01bc2711a1382e2970a89d1c2a03 (MD5)en
dc.description.provenanceMade available in DSpace on 2019-01-31T12:14:14Z (GMT). No. of bitstreams: 1 Approximation_of_multiserver_retrial_queues_by_means_of_generalized_truncated_models.pdf: 723396 bytes, checksum: bd3b01bc2711a1382e2970a89d1c2a03 (MD5) Previous issue date: 2002en
dc.identifier.doi10.1007/BF02578940en_US
dc.identifier.issn1134-5764
dc.identifier.urihttp://hdl.handle.net/11693/48609
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://doi.org/10.1007/BF02578940en_US
dc.source.titleTOPen_US
dc.subjectRetrial queuesen_US
dc.subjectStationary distributionen_US
dc.subjectGeneralized truncated systemsen_US
dc.subjectSynchronizationen_US
dc.subjectStochastic comparabilityen_US
dc.titleApproximation of multiserver retrial queues by means of generalized truncated modelsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Approximation_of_multiserver_retrial_queues_by_means_of_generalized_truncated_models.pdf
Size:
706.44 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Scholarly Publications - Industrial Engineering