?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F1620%2F&rft.title=Applying+Mean-field+Approximation+to+Continuous+Time+Markov+Chains&rft.creator=Kolesnichenko%2C+Anna&rft.creator=Pourranjabar%2C+Alireza&rft.creator=Senni%2C+Valerio&rft.subject=QA75+Electronic+computers.+Computer+science&rft.description=The+mean-field+analysis+technique+is+used+to+perform+analysis+of+a+systems+with+a+large+number+of+components+to+determine+the+emergent+deterministic+behaviour+and+how+this+behaviour+modifies+when+its+parameters+are+perturbed.+The+computer+science+performance+modelling+and+analysis+community+has+found+the+mean-field+method+useful+for+modelling+large-scale+computer+and+communication+networks.+Applying+mean-field+analysis+from+the+computer+science+perspective+requires+the+following+major+steps%3A+(1)+describing+how+the+agents+populations+evolve+by+means+of+a+system+of+differential+equations%2C+(2)+finding+the+emergent%0D%0Adeterministic+behaviour+of+the+system+by+solving+such+differential+equations%2C+and+(3)+analysing+properties+of+this+behaviour+either+by+relying+on+simulation+or+by+using+logics.+Depending+on+the+system+under+analysis%2C+performing+these+steps+may+become+challenging.+Often%2C+modifications%0D%0Aof+the+general+idea+are+needed.+In+this+tutorial+we+consider+illustrating+examples+to+discuss+how+the+mean-field+method+is+used+in+different+application+areas.+Starting+from+the+application+of+the+classical+technique%2C%0D%0Amoving+to+cases+where+additional+steps+have+to+be+used%2C+such+as+systems+with+local+communication.+Finally+we+illustrate+the+application+of+the+simulation+and+%0D%0Auid+model+checking+analysis+techniques.+&rft.publisher=IMT+Institute+for+Advanced+Studies+Lucca&rft.date=2013-06&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Feprints.imtlucca.it%2F1620%2F1%2FCSA_TR_2013_8.pdf&rft.identifier=++Kolesnichenko%2C+Anna+and+Pourranjabar%2C+Alireza+and+Senni%2C+Valerio++Applying+Mean-field+Approximation+to+Continuous+Time+Markov+Chains.++CSA+Technical+Report++%238%2F2013++++IMT+Institute+for+Advanced+Studies+Lucca+++++++++