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dc.contributor.authorAnselmi, J.
dc.contributor.authorGaujal, B.
dc.date.accessioned2017-02-21T08:11:14Z
dc.date.available2017-02-21T08:11:14Z
dc.date.issued2010-12-31
dc.identifier.isbn978-1-42-448836-0
dc.identifier.urihttp://hdl.handle.net/20.500.11824/389
dc.description.abstractWe consider a network of parallel, non-observable queues and analyze the "price of anarchy", an index measuring the worst-case performance loss of a decentralized system with respect to its centralized counterpart in presence of non-cooperative users. Our analysis is undertaken from the new point of view where the router has the memory of previous dispatching choices, which significantly complicates the nature of the problem. In the regime where the demands proportionally grow with the network capacity, we provide a tight lower bound on the socially-optimal response time and a tight upper bound on the price of anarchy by means of convex programming. Then, we exploit this result to show, by simulation, that the billiard routing scheme yields a response time which is remarkably close to our lower bound, implying that billiards minimize response time. To study the added-value of non-Bernoulli routers, we introduce the "price of forgetting" and prove that it is bounded from above by two, which is tight in heavy-traffic. Finally, other structural properties are derived numerically for the price of forgetting. These claim that the benefit of having memory in the router is independent of the network size and heterogeneity, while monotonically depending on the network load only. These properties yield simple productforms well-approximating the socially-optimal response time.
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dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleOptimal routing in parallel, non-observable queues and the price of anarchy revisited
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.identifier.doi10.1109/ITC.2010.5608745
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78650136544&doi=10.1109%2fITC.2010.5608745&partnerID=40&md5=fea76dcac7bd7217ccc66630a75fbda8
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.title2010 22nd International Teletraffic Congress - Proceedings, ITC 22en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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