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http://hdl.handle.net/10773/4237
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DC Field | Value | Language |
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dc.contributor.author | Cardoso, D.M. | pt |
dc.contributor.author | Craveirinha, J. | pt |
dc.contributor.author | Esteves, J.S. | pt |
dc.date.accessioned | 2011-10-31T16:30:44Z | - |
dc.date.issued | 2009 | - |
dc.identifier.issn | 1072-3374 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/4237 | - |
dc.description.abstract | This paper presents a unified treatment of the mathematical properties of the second-order derivatives of the overflow traffic function from an Erlang loss system, assuming the number of circuits to be a nonnegative real number. It is shown that the overflow traffic function Â(a, x) is strictly convex with respect to x (number of circuits) for x ≥ 0, taking the offered traffic, a, as a positive real parameter. It is also shown that Â(a, x) is a strictly convex function with respect to a, for all (a, x) ∈ ℝ+ × ℝ+. Following a similar process, it is shown that Â(a, x) is a strict submodular function in this domain and that the improvement function introduced by K. O. Moe [11] is strictly increasing in a. Finally, based on some particular cases and numerous numerical results, there is a conjecture that the function Â(a, x) is strictly jointly convex in areas of low blocking where the standard offered traffic is less than -1. © 2009 Springer Science+Business Media, Inc. | pt |
dc.description.sponsorship | CEOC | pt |
dc.description.sponsorship | FCT | pt |
dc.description.sponsorship | FEDER/POCI 2010 | pt |
dc.description.sponsorship | INESC/Coimbra | pt |
dc.description.sponsorship | FEDER/POSI | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer Verlag | pt |
dc.relation.uri | http://www.scopus.com/inward/record.url?eid=2-s2.0-70350346844&partnerID=40&md5=7fbeccc7c0691421dda881d650717dec | - |
dc.rights | restrictedAccess | por |
dc.title | Second-order conditions on the overflow traffic function from the Erlang-B system: A unified analysis | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 839 | pt |
degois.publication.issue | 6 | pt |
degois.publication.issue | 6 | - |
degois.publication.lastPage | 853 | pt |
degois.publication.title | Journal of Mathematical Sciences | pt |
degois.publication.volume | 161 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.relation.publisherversion | http://www.springerlink.com/content/8gp4565v412n11n7/ | * |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CardosoCraveirinhaSaEsteves.pdf | Versão Electrónica | 227.11 kB | Adobe PDF |
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