{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T01:34:12Z","timestamp":1649036052604},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,7]]},"abstract":"<jats:p> We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes the ingredients of multiplicative stochastic evolution of nodes and edges and adaptive rewiring of edges. The model reproduces successfully structural features of the Internet at a fundamental level. We also introduce a quantity called the load as the capacity of node needed for handling the communication traffic and study its time-dependent behavior at the hubs across years. The load at hub increases with network size N as ~ N<jats:sup>1.8<\/jats:sup>. Finally, we study data packet traffic in the microscopic scale. The average delay time of data packets in a queueing system is calculated, in particular, when the number of arrival channels is scale-free. We show that when the number of arriving data packets follows a power law distribution, ~ n<jats:sup>-\u03bb<\/jats:sup>, the queue length distribution decays as n<jats:sup>1-\u03bb<\/jats:sup> and the average delay time at the hub diverges as ~ N<jats:sup>(3-\u03bb)\/(\u03b3-1)<\/jats:sup> in the N \u2192 \u221e limit when 2 &lt; \u03bb &lt; 3\u03b3 being the network degree exponent. <\/jats:p>","DOI":"10.1142\/s0218127407018555","type":"journal-article","created":{"date-parts":[[2007,9,5]],"date-time":"2007-09-05T10:23:49Z","timestamp":1188987829000},"page":"2485-2490","source":"Crossref","is-referenced-by-count":4,"title":["INTERNET DATA PACKET TRANSPORT: FROM GLOBAL TOPOLOGY TO LOCAL QUEUEING DYNAMICS"],"prefix":"10.1142","volume":"17","author":[{"given":"H. K.","family":"LEE","sequence":"first","affiliation":[{"name":"School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.-I.","family":"GOH","sequence":"additional","affiliation":[{"name":"Center for Complex Network Research and Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA"},{"name":"Department of Physics, Korea University, Seoul 136-713, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"KAHNG","sequence":"additional","affiliation":[{"name":"Center for Complex Network Research and Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA"},{"name":"School of Physics and Center for Theoretical Physics, Seoul National University NS50, Seoul 151-747, Korea"},{"name":"Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"KIM","sequence":"additional","affiliation":[{"name":"School of Physics and Center for Theoretical Physics, Seoul National University NS50, Seoul 151-747, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.47"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.3196"},{"key":"rf3","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1126\/science.286.5439.509","volume":"286","author":"Barab\u00e1si A.-L.","journal-title":"Science"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(99)00291-5"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.10.009"},{"key":"rf6","first-page":"112","volume":"2","author":"Colizza V.","journal-title":"Nat. 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