物理学报2016，Vol.65Issue(15)：150502-1-150502-11,11.DOI:10.7498/aps.65.150502
有限理性视野下网络交通流逐日演化规律研究∗
Day-to-Day dynamical evolution of network traffic flow under b ounded rational view
摘要
Abstract
The formation mechanism of network traffic flow and its evolution law are closely related to daily activities of travelers. The current studies indicate that the law of network traffic flow evolution is day-to-day;therefore, using days as the scale unit is an important way to illustrate the evolution of network traffic flow. In previous studies, travelers in the network were tacitly assumed to be entirely rational. When the rationality of travelers is limited, the dynamics of the evolution law needs to be re-examined. This paper presents the utility maximization hypothesis in a logit model by using the “bounded rationality” hypothesis and develops a bounded rational binary logit (BRBL) model. We apply the BRBL model to a day-to-day network traffic flow distribution and discuss the evolution law of day-to-day network traffic flow under the assumption of the limited rationality of travelers. Through a numerical experiment, this paper analyzes the evolution characteristics of network traffic flow. The results are as follows. Firstly, the final state of the network traffic flow process is not only correlated to the cost-sensitivity of travelers and dependence on actual cost, but also strongly related to the degree of the nationality of travelers. Secondly, the system will be either bifurcated or chaotic when either cost-sensitivity increases or dependence on actual cost increases. Moreover, within the group of travelers whose rationality level is low, no matter what the cost-sensitivity of travelers and the dependence on actual cost are, the evolution results are asymptotically stable. Finally, in particular, in certain circumstances, it is easy to achieve stability when the rationallty degree of travelers is very high or very low, while it is not easy to achieve stability when the rationality degree of travelers is medium.关键词
有限理性/网络交通流/动态演化/混沌Key words
bounded rationality/network traffic flow/dynamical evolution/chaos引用本文复制引用
李涛,关宏志,梁科科..有限理性视野下网络交通流逐日演化规律研究∗[J].物理学报,2016,65(15):150502-1-150502-11,11.基金项目
国家重点基础研究发展计划(批准号:2012CB725403)、国家自然科学基金重点项目(批准号:51338008)、国家自然科学基金面上项目(批准号:51378036)和国家自然科学基金青年基金项目(批准号:51308018)资助的课题 （批准号:2012CB725403）
