Asymptotic analysis of reliability for switching systems in light and heavy traffic conditions

Simple item page
dc.citation.epage133en_US
dc.citation.spage119en_US
dc.contributor.authorAnisimov, Vladimir V.en_US
dc.contributor.editorLimnios, N.
dc.contributor.editorNikulin, M.
dc.date.accessioned2019-04-30T09:47:33Z
dc.date.available2019-04-30T09:47:33Z
dc.date.issued2000en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.descriptionChapter 8en_US
dc.description.abstractAn asymptotic analysis of flows of rare events switched by some random environment is provided. An approximation by nonhomogeneous Poisson flows in case of mixing environment is studied. Special notions of S-set and “monotone” structure for finite Markov environment are introduced. An approximation by Poisson flows with Markov switches in case of asymptotically consolidated environment is proved. An analysis of the 1st exit time from a subset is also given. In heavy traffic conditions an averaging principle for trajectories with Poisson approximation for flows of rare events in systems with fast switches is proved. The method of proof is based on limit theorems for processes with semi-Markov switches. Applications to the reliability analysis of state-dependent Markov and semi-Markov queueing systems in light and heavy traffic conditions are considereden_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2019-04-30T09:47:33Z No. of bitstreams: 1 Asymptotic_Analysis_of_Reliability_for_Switching_Systems_in_Light_and_Heavy_Traffic_Conditions.pdf: 2605157 bytes, checksum: 1f8146374ea1f35d3feecdf4abcd52ba (MD5)en
dc.description.provenanceMade available in DSpace on 2019-04-30T09:47:33Z (GMT). No. of bitstreams: 1 Asymptotic_Analysis_of_Reliability_for_Switching_Systems_in_Light_and_Heavy_Traffic_Conditions.pdf: 2605157 bytes, checksum: 1f8146374ea1f35d3feecdf4abcd52ba (MD5) Previous issue date: 2000en
dc.identifier.doi10.1007/978-1-4612-1384-0_8en_US
dc.identifier.doi10.1007/978-1-4612-1384-0en_US
dc.identifier.isbn9781461271246
dc.identifier.urihttp://hdl.handle.net/11693/51035
dc.language.isoEnglishen_US
dc.publisherBirkhäuser, Bostonen_US
dc.relation.ispartofRecent advances in reliability theory: Methodology, practice, and inferenceen_US
dc.relation.ispartofseriesStatistics for Industry and Technology;
dc.relation.isversionofhttps://doi.org/10.1007/978-1-4612-1384-0_8en_US
dc.relation.isversionofhttps://doi.org/10.1007/978-1-4612-1384-0en_US
dc.subjectAsymptotic analysisen_US
dc.subjectReliabilityen_US
dc.subjectSwitching processesen_US
dc.subjectRare eventsen_US
dc.subjectMarkov and semi-Markov processesen_US
dc.subjectConsolidationen_US
dc.subjectQueueing modelsen_US
dc.subjectLight and heavy trafficen_US
dc.titleAsymptotic analysis of reliability for switching systems in light and heavy traffic conditionsen_US
dc.typeBook Chapteren_US

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Asymptotic_Analysis_of_Reliability_for_Switching_Systems_in_Light_and_Heavy_Traffic_Conditions.pdf
Size:
2.48 MB
Format:
Adobe Portable Document Format
Description:
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