PHASE TRANSITION IN A LOAD SHARING LOSS MODEL
成果类型：
Article
署名作者：
Malyshev, Vadim; Robert, Philippe
署名单位：
Lomonosov Moscow State University; Inria
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177004909
发表日期：
1994
页码：
1161-1176
关键词：
摘要：
In this paper we analyze the following loss network: When a customer arrives at a node of the network, it is served by this node if the node is not occupied; otherwise it is transmitted to some empty node where it will be served at a different rate. For the simplest systems of this type with a very large number of nodes and with global sharing, we show the existence of second order phase transitions and present explicit formulas for probability characteristics. For local sharing, we study the case of an infinite network and present some convergence results. Formulas for small and large loads are obtained.