Networking Theory and Fundamentals - Lecture 3 ppt

... 0 P   =    () 111 π , , 0 .31 0, 0 .34 5, 0 .34 5 33 3 p ppp  − ==  −−−  0 .31 0 0 .34 5 0 .34 5 lim 0 .31 0 0 .34 5 0 .34 5 ( 150) 0 .31 0 0 .34 5 0 .34 5 n n Pn →∞   =≈    3- 3 4 M/M/1 Queue  Arrival process: ... = =+  ∑ 0 1 {gets wet} π 3 p Ppp p − == − 1 TCOM 501: Networking Theory & Fundamentals Lecture 3 January 29, 20 03 Prof. Yannis A....

Ngày tải lên: 22/07/2014, 18:22

... D A = 3 + D E  D E = 4 + D G  D G = 3 + D B = 3  D D = 2 + D G  D C = 1 + D D  D F = 6 + D B = 6  AB = A-E-G-B B A C D E F G 3 4 2 7 3 6 4 1 4 34 Complexity of Floyd-Warshall  ... After N-1 iterations, the algorithm terminates, and G' contains N nodes and N-1 arcs. {},n ′ ′ = =∅NA :{},:{(,)}jij ′′ ′′ =∪ =∪NN AA 10 Minimum Weight Spanning Tree 5 2...

Ngày tải lên: 22/07/2014, 18:22

... j jjj j NN KK TN KKTK + ++ === =γ==µ µµ µ +  1(2) (3) 12/ 21 3 3 (3) , (3) , (3) (3) 2 j j jjj j NN KK TN KKTK + ++ === =γ==µ µµ µ +  1 (3) (4) 13/ 31 4 4 (4) , (4) , (4) (4) 3 j j jjj j NN KK TN KKTK + ++ === ... ρ = ρ =ρρρ ρ =− ∑∑ ∑ ∑ …… …… ……    F 1 TCOM 501: Networking Theory & Fundamentals Lecture 8 March 19, 20 03 Prof. Yannis A. Korilis 8-2 3 E...

Ngày tải lên: 22/07/2014, 18:22

... times and service times  Exponentially distributed service times Network model: Jackson network “Product-Form” stationary distribution 1 TCOM 501: Networking Theory & Fundamentals Lecture ... packet is randomly selected each time it is transmitted over a network link 3. Service times and interarrival times: independent  Assumption has been validated with experimental and...

Ngày tải lên: 22/07/2014, 18:22

... Discrete-time birth-death processes are reversible, since they satisfy the DBE ππ, , 0,1, iij j ji PPij = = 7 -3 2 Queues in Tandem  Theorem 11: Network consisting of K single-server queues in tandem. ... E p ρρ − ∈  =   ∑ State diagram for B =2 7 -3 3 Queues in Tandem: State-Dependent Service Rates  Theorem 12: Network consisting of K queues in tandem. Service times at queue...

Ngày tải lên: 22/07/2014, 18:22

... lim i i tt Tt pPNti t →∞ →∞ === 4& 5-1 8 PASTA Theorem: Intuitive Proof  t a and t r : randomly selected arrival and observation times, respectively  The arrival processes prior to t a and t r respectively ... Functions and Independence: X; Y : independent ) M X+Y (t)=M X (t)M Y (t) The opposite isnottrue. 4& 5-1 9 Arrivals that Do not See Time-Averages Example 1: No...

Ngày tải lên: 22/07/2014, 18:22

... … and packets that arrive at a network switch {} , 0,1,2, ! k PX k e k k λ λ − == = 1 TCOM 501: Networking Theory & Fundamentals Lecture 2 January 22, 20 03 Prof. Yannis A. Korilis 2-8 Queue ... Modeling Arrival and Service Statistics 2 -3 3 Probabilistic Form of Little (cont.)  In principle, we can find the probability distribution of the delay T i for customer...

Ngày tải lên: 22/07/2014, 18:22

... to wait in queue for the first avail- able server if, and only if, all the servers are busy, i.e., there are precisely m 39 TCOM 501: Networking Theory and Fundamentals University of Pennsylvania Class ... can now be grandly deployed to determine the average de- lay per customer T = N/λ in the steady state. 30 Class Notes Santosh S. Venkatesh c  1997 TCOM 501: Networking Theory...

Ngày tải lên: 22/07/2014, 18:22

... discrete random variable taking values 0, 1, 2,…, and let {} n p PX n = = . The z- transform is well-defined for ||1z < : 23 01 2 3 0 () n Xn n Gz p zp zp zp pz ∞ = =+ + + += ∑   Z-transform ... ] 2 E REX=λ P-K Formula: 2 [] [ ] [] 12(1) E REX EW λ == −ρ − ρ 1 TCOM 501: Networking Theory & Fundamentals Lectures 9 & 10 M/G/1 Queue Prof. Yannis A. Koril...

Ngày tải lên: 22/07/2014, 18:22

... filters Tt )( 1 ts Tt )( 2 ts T T 0 0 T A T A− T A− T A 0 0 Lecture 3 5 Example of M-ary PAM -B B T ‘01’ 3B T T -3 B T ‘00’ ‘10’ ‘1’ A. T ‘0’ T -A. Assuming real time tr. and equal energy per tr. data bit for binary-PAM and 4-ary PAM: • 4-ary: T=2Tb and ... TR = mRR b = Lecture 3 6 Example of M-ary PAM … 0 Tb 2Tb 3Tb 4Tb 5Tb 6Tb 0 Ts 2Ts 0 T 2T 3T 2.2762 V 1 .36 57 V 1 1 0...

Ngày tải lên: 27/01/2014, 08:20