Hagit Attiya's Distributed Computing: Fundamentals, Simulations, and PDF

By Hagit Attiya

ISBN-10: 0471453242

ISBN-13: 9780471453246

* finished advent to the elemental ends up in the mathematical foundations of dispensed computing
* followed via assisting fabric, reminiscent of lecture notes and options for chosen exercises
* each one bankruptcy ends with bibliographical notes and a collection of exercises
* Covers the elemental types, concerns and methods, and lines a number of the extra complicated subject matters

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Additional resources for Distributed Computing: Fundamentals, Simulations, and Advanced Topics

Example text

Function will only move it to another (or the same) elected (respectively, not­ elected) state. • In every admissible execution, exactly one processor (the leader) enters an elected state and all the remaining processors enter a not-elected state. We restrict our attention to the situation in which the topology of the system is a ring. In particular, we assume that the edges in the topology graph go between Pi and Pi + l • for all i, 0 :S i < n, where addition is mod n. Furthermore, we assume that processors have a consistent notion of left and right, resulting in an oriented ring.

From the description of the algorithm, (M) is initially in transit to each processor Pi at distance l from Pr . By the definition of time complexity for the asynchronous model, Pi receives (M) by time l . We must show that every processor Pi at distance t from Pr i n the spanning tree receives (M) in round t . Let Pi be the parent of p; in the spanning tree. Since Pi is at distance t 1 from Pr , by the inductive hypothesis, Pi receives (M) by time t 1 . B y the description of the algorithm, Pj sends (M) to Pi when i t receives (M), that is, by time t 1.

A variable children;, which holds a set of processor indices • A Boolean terminated;, which indicates whether Pi is in a terminated state Initially, the values of the parent and children variables are such that they form a spanning tree rooted at p,. of the topology graph. Initially, all terminated variables are false. Initially, outbufr [j) holds (M) for each j in children,. ;2 all other outbuf variables are empty. The result of comp( i) is that, if {M) is in an inbuf; [k] for some k, then (M) is placed in outbuf; [j], for each j in children; , and p; enters a terminated state by setting terminated; to true.

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Distributed Computing: Fundamentals, Simulations, and Advanced Topics by Hagit Attiya

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