论文标题
关于利率降低的损失网络的可竞争力
On the metastability of a loss network with diminishing rates
论文作者
论文摘要
轨迹较大的偏差原理以平均场热力学限制为具有降低速率的多类损耗网络，这可能具有几个稳定的平衡。较大的偏差极限被确定为Markov属性的Maxingale问题的独特解决方案。 网络过程的不变度量也遵守了一个较大的偏差原理。该网络是背稳性的，因为它在稳定的平衡社区中花费了长时间的时间。检查了具有两个稳定平衡和一个不稳定平衡的两级网络的特定情况。
A trajectorial large deviation principle is established in a mean field thermodynamic limit for a multiclass loss network with diminishing rates, which may have several stable equilibria. The large deviation limit is identified as a unique solution to a maxingale problem with a Markov property. The invariant measure of the network process obeys a large deviation principle as well. The network is metastable in that it spends exponentially long periods of time in the neighbourhoods of stable equilibria. A specific case of a two--class network with two stable equilibria and one unstable equilibrium is examined.
