Finite family trees of continuous time birth and death processes for evaluating the transmitting speed of information on communication networks
A finite random graph generated by continuous time birth and death processes with exponentially distributed waiting times was investigated,which is similar to a communication network in daily life.The vertices are the living particles,and directed edges go from mothers to daughters.The size of the communication network was studied.Furthermore,the probability of successfully connecting senders with receivers and the transmitting speed of information were obtained.
birth and death processesfamily treerandom graphcommunication networks
马驰、王汉兴
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Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China
Department of Mathematics and Physics,Anhui University of Science and Technology,Huainan 232001,P.R.China
Department of Mathematics and Statistics,Shanghai Lixin University of Commerce,Shanghai 201620,P.R.China
birth and death processes family tree random graph communication networks
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