Abstract
A classical problem in telecommunications is the determination of the extremal time congestion that can arise in a GI/M/N/N loss system with given arrival and service rates. A central difficulty was showing that a local extremum has to be global. The matter stood unresolved for many years but has recently been settled using quite delicate convex analysis. We treat this problem and some generalisations in a structurally simpler way by making use of quasiconvexity.
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Pearce, C.E.M. (2004). Quasiconvexity, Fractional Programming and Extremal Traffic Congestion. In: Floudas, C.A., Pardalos, P. (eds) Frontiers in Global Optimization. Nonconvex Optimization and Its Applications, vol 74. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0251-3_22
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DOI: https://doi.org/10.1007/978-1-4613-0251-3_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7961-4
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