DESIGN AND ANALYSIS OF DISTRIBUTED ALGORITHMS phần 2 ppt

... and values, same port labels), they will execute the 1 2 2 1 21 1 2 2 1 21 ZY XX ZY FIGURE 2. 15: Proof of Theorem 2. 5.6. EXERCISES, PROBLEMS, AND ANSWERS 95 2( n −1) +d T (s, x) messages and 2r(s) ... same probability, 1/n, of being selected. 31 3 21 7 5 21 6 2 31 3 21 7 5 21 6 2 A1 A3 A4 A6 A7 A8 A9 A10 A11 A 12 (a) (b) A2 A5 FIGURE 2. 28: A rooted tree i...

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... (i.e., level(A) = level(B)) and want to merge with each other (i.e., e(A) = e(B)), we have 20 2 ELECTION (a) (b) 61 52 2 2 2 2 2 2 2 2 2 2 2 2 2 22 2 5 5 1 1 6 6 1 1 1 5 61 52 Y Y Y Y Y Y Y Y Y Y Y Y Y YY Y Y Y Y Y Y NO NO NO NO NO FIGURE ... be n i L(i) = 2 k−i+1  1 + i·(i−1) 2  and over all stages, the total will be k  i=1 2 k−i+1  1 + i·(i−1) 2  = 2 k ...

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... f, g} and Z i 1 ,2 = D 1 −D 2 ={b, m, n, q}. These are then subdivided creating the final partition Z 1 composed of Z 1 2, 1 ={e, f }, Z 1 2, 2 ={a,g}, Z 1 2, 3 ={m, q}, and Z 1 2, 4 ={b, n}. DISTRIBUTED ... Journal of Parallel and Distributed Computing, 14(4):361–3 72, 19 92. [21 ] L. Shrira, N. Francez, and M. Rodeh. Distributed k-selection: From a sequential to a...

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... 1,1,0 2, 0,0 0,0,3 11 12 13 14 15 16 17 18 19 20 21 22 0,1 ,2 0 ,2, 1 0,3,0 1,0 ,2 1,1,1 1 ,2, 0 2, 0,1 2, 1,0 3,0,0 0,0,4 0,1,3 0 ,2, 2 23 24 25 26 27 28 29 30 31 32 33 34 0,3,1 0,4,0 1,0,3 1,1 ,2 1 ,2, 1 1,3,0 ... as Time(TwoBits, 2 m(Stages) ) = 2 log i +2 = i +2, by Lemma 6 .2. 2, we have T(SynchStages) ≤ 2n log(n)(i +2) + l.o.t (6.19) and B(SynchStages) = 2M(S...

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... that 1. the sets of entities affected by the events in ψ 1 and ψ 2 , respectively, are disjoint; and 2. at most one of ψ 1 and ψ 2 includes a crash event. Then, both ψ 1 ψ 2 and ψ 2 ψ 1 are applicable ... events in ψ 2 , then ψ 2 can be applied to C 1 and ψ 1 to C 2 , and both lead to the same configuration C 3 (see Figure 7.4). More precisely, Lemma 7 .2. 2 Let...

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... predicate (using and, ” “or,” and “p -of- q” connectors) on its outgoing links; examples of such predicates are as follows: “(two of l 1 ,l 2 ,l 3 )or(l 1 and l 4 )” and “( l 1 and l 2 )or(l 3 and l 4 ),” ... Lynch, and M. Merritt. Easy impossibility proofs for distributed consen- sus. Distributed Computing, 1(1) :26 –39, 1986. [22 ] M.J. Fisher, N.A. Lynch, and M.S...

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... termination of distributed computations using markers. In 2nd Sym- posium on Principles of Distributed Computing, pages 29 0 29 4, Montreal, 1983. [17] S. P. Rana. A distributed solution of the distributed ... queue. This point of view opens an interesting and surprising connection between the problem of distributed mutual exclusion and that of fair management of...

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... Science 28 9, 94 (20 00). doi:10.1 126 /science .28 9. 5476.94 9. J. Cumings, A. Zettl, Science 28 9, 6 02 (20 00). doi:10.1 126 / science .28 9.5479.6 02 10. Q.S. Zheng, Q. Jiang, Phys. Rev. Lett. 88, 045503 (20 02) . ... 29 4, 1317 (20 01). doi:10.1 126 /science.1065 824 4. J.M. Kinaret, T. Nord, S. Viefers, Appl. Phys. Lett. 82, 128 7 (20 03). doi:10.1063/1.1557 324 5. S.P. Xiao, W...

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... http://webkit.org/ 23 Figure 2. 3 A course Web site that I created with CSS-based design, about a year after the one in Figures 2. 1 and 2. 2. Figure 2. 4 has CSS disabled, leaving no traces of the design. ... computers. We also have standardized weights and measures, standards for television and radio signals, and even some standards for CHAPTER 5 Preparing to Write...

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