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dc.contributor.authorJin, Li
dc.contributor.authorAmin, Saurabh
dc.date.accessioned2018-08-20T12:00:44Z
dc.date.available2018-08-20T12:00:44Z
dc.date.issued2018-02
dc.identifier.issn0018-9286
dc.identifier.issn1558-2523
dc.identifier.urihttp://hdl.handle.net/1721.1/117403
dc.description.abstractIEEE This article introduces a Piecewise-Deterministic Queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model switches between a finite set of modes according to a Markov chain, and link inflows are controlled by a state-feedback policy. A PDQ system is stable only if a lower bound on the time-average link inflows does not exceed the corresponding time-average saturation rate. Furthermore, a PDQ system is stable if the following two conditions hold: the nominal mode's saturation rate is high enough that all queues vanish in this mode, and a Bilinear Matrix Inequality (BMI) involving an underestimate of the discharge rates of the PDQ in individual modes is feasible. The stability conditions can be strengthened for two-mode PDQs. These results can be used for design of routing policies that guarantee stability of traffic queues under stochastic capacity fluctuations.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (CNS-1239054 CPS Frontiers)en_US
dc.description.sponsorshipNational Science Foundation (U.S.). Faculty Early Career Development Program Award (CNS-145312)en_US
dc.description.sponsorshipUnited States. Air Force Research Laboratory. Lablet-Secure and Resilient Cyber-Physical Systemsen_US
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAC.2018.2808044en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleStability of Fluid Queueing Systems with Parallel Servers and Stochastic Capacitiesen_US
dc.typeArticleen_US
dc.identifier.citationJin, Li, and Saurabh Amin. “Stability of Fluid Queueing Systems with Parallel Servers and Stochastic Capacities.” IEEE Transactions on Automatic Control (2018): 1–1.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineeringen_US
dc.contributor.mitauthorJin, Li
dc.contributor.mitauthorAmin, Saurabh
dc.relation.journalIEEE Transactions on Automatic Controlen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-07-26T13:17:21Z
dspace.orderedauthorsJin, Li; Amin, Saurabhen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-5282-2327
dc.identifier.orcidhttps://orcid.org/0000-0003-1554-015X
mit.licenseOPEN_ACCESS_POLICYen_US


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