Department of Electronic Engineering(EE) City University of Hong Kong Performance evaluation of Long Range Dependent Queues Chen Jiongze Supervisor: Moshe Zukerman Co-Supervisor: Ronald G. Addie Supported by Grants/City U 124709 and /CityU 8/CRF/13G/
Performance Evaluation of Long Range Dependent Queues Chen Jiongze Supervisor: Moshe Zukerman Co-Supervisor: Ronald G. Addie Department of Electronic Engineering (EE) City University of Hong Kong Supported by Grants [CityU 124709] and [CityU 8/CRF/13G]
Outline Introduction Poisson Lomax burst Process(Plbp)queue Fractional Brownian motion(fBm) Queue Conclusions
Introduction Poisson Lomax Burst Process (PLBP) Queue Fractional Brownian motion (fBm) Queue Conclusions 2
Outline a Introduction Poisson Lomax burst Process(Plbp)queue Fractional Brownian motion(fBm) Queue Conclusions
Introduction Poisson Lomax Burst Process (PLBP) Queue Fractional Brownian motion (fBm) Queue Conclusions 3
山A邮代H Not enough capacity Angry /oustomer Credit:http:/imvritefield.com/2012/06/22/are-you-being-served/
Not enough capacity Angry customer 4 Credit: http://inwritefield.com/2012/06/22/are-you-being-served/
Too much capacity Credit:http://hwww.neverpaintagain.co.uk/blog/ho1-1o-lose-money-with-bad-home-improvement-choices/
Too much capacity Lose Money Credit: http://www.neverpaintagain.co.uk/blog/how 5 -to-lose-money-with-bad-home-improvement-choices/
a pacity 00S Traffic Engineering Network Engineering Network planning Credithttp:/ineed.coffee 6
Capacity QoS Traffic Engineering Network Engineering Network Planning 6 Credit: http://ineed.coffee/
An Internet Link Data Data Data Tratti Data Data■ Data Data Credit:http://hwww.fastcodesign.com/1662881/infographic-of-the-day-the-facebook-map-of-the-world
… Data Data Data Data Data … Traffic A Link Data Credit: http://www.fastcodesign.com/1662881/infographic 7 -of-the-day-the-facebook-map-of-the-world Data … Data
An Internet Link Data Eco Dat 匚Data Traffic a link Quality of Data D口…[D□ Service(oos)? Data Data It is unrealistic to replicate the entire traffic on an Internet link 8
… Data Data Data Data Data … Data … Data Traffic A Link Data It is unrealistic to replicate the entire traffic on an Internet link! Quality of Service (QoS) ? 8
Modelling a Link Traffic A link Internet link Dat…[Dta□ odelling Queueing System iput process Queue
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Traffic Modelling Input process Data Sampling m A good traffic model Fitting the capture the nature of the traffic parameters Long range Dependence ( LRD) A small number ofparameters, amenable to analysis ratic mod
… Data Data … Data Traffic Sampling Input process Traffic model Fitting the parameters 10 A good traffic model • capture the nature of the traffic: Long Range Dependence (LRD); • A small number of parameters; • Amenable to analysis
