dc.contributor.author | Jin, Li | |
dc.contributor.author | Amin, Saurabh | |
dc.date.accessioned | 2018-08-20T12:00:44Z | |
dc.date.available | 2018-08-20T12:00:44Z | |
dc.date.issued | 2018-02 | |
dc.identifier.issn | 0018-9286 | |
dc.identifier.issn | 1558-2523 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/117403 | |
dc.description.abstract | IEEE 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.sponsorship | National Science Foundation (U.S.) (CNS-1239054 CPS Frontiers) | en_US |
dc.description.sponsorship | National Science Foundation (U.S.). Faculty Early Career Development Program Award (CNS-145312) | en_US |
dc.description.sponsorship | United States. Air Force Research Laboratory. Lablet-Secure and Resilient Cyber-Physical Systems | en_US |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE) | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1109/TAC.2018.2808044 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
dc.source | arXiv | en_US |
dc.title | Stability of Fluid Queueing Systems with Parallel Servers and Stochastic Capacities | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Jin, 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.department | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering | en_US |
dc.contributor.mitauthor | Jin, Li | |
dc.contributor.mitauthor | Amin, Saurabh | |
dc.relation.journal | IEEE Transactions on Automatic Control | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2018-07-26T13:17:21Z | |
dspace.orderedauthors | Jin, Li; Amin, Saurabh | en_US |
dspace.embargo.terms | N | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-5282-2327 | |
dc.identifier.orcid | https://orcid.org/0000-0003-1554-015X | |
mit.license | OPEN_ACCESS_POLICY | en_US |