DYNAMIC AND EQUILIBRIUM BEHAVIOR OF CONTROLLED LOSS NETWORKS
成果类型：
Article
署名作者：
Bean, N. G.; Gibbens, R. J.; Zachary, S.
署名单位：
University of Adelaide; University of Cambridge; Heriot Watt University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1997
页码：
873-885
关键词：
摘要：
We study the behavior of large loss networks in which the offered traffic is subject to acceptance controls. Hunt and Kurtz proved a functional law of large numbers for the dynamics of such networks, as capacity and offered traffic are allowed to increase in proportion. However, limiting dynamics were not in general uniquely identified. We establish further results identifying these dynamics under given conditions. We also investigate the existence of fixed points for these dynamics and relate them to limiting equilibrium behavior, permitting the investigation of common modelling assumptions. We study in detail single- and two-resource networks and we give an example of bistability for the former.