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On the influence of non-perfect randomness on probabilistic algorithms

Автор:   Markus M.
мягкая обложка
156 страниц
2009 год
Издательство:   Книга по Требованию
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3212 руб
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Описание:The second part of this work examines the impact of various sources of randomness on the quality of the solution of probabilistic optimization heuristics, concentrating on Simulated Annealing as an example for local search heuristics and a genetic algorithm as an instance of population based heuristics. Not only in computer science many problems are solved through the help of randomness. In the first part several probabilistic algorithms are examined on how they are influenced by random numbers that are not independent and uniformly distributed: New theoretical results are presented that describe implications of using non-perfect random numbers with probabilistic algorithms. A randomized algorithm for comparing polynomials, Karger' s probabilistic algorithm for finding the minimum cut of a graph, Schoening' s random walk algorithm for the Boolean Satisfiability Problem and the well-known sorting algorithm QuickSort. This thesis analyses probabilistic algorithms with respect to the use of random sources that do not provide perfect random numbers, like pseudorandom generators or biased sources.


Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка

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Distributed operating systems

When the communication and processors are all perfect, reaching such agreement is often straightforward, but when they are not, problems arise. In this section we will look at some of the problems and their solutions (or lack thereof). The general goal of distributed agreement algorithms is to have all the non-faulty processors reach consensus on some issue, and do that within a finite number of steps. Different cases are possible depending on system parameters, including: 1. Are messages delivered reliably all the time? 2. Can processes crash, and if so, fail-silent or Byzantine? 3. Is the system synchronous or asynchronous? Before considering the case of faulty processors, let us look at the "easy" case of perfect processors but communication lines that can lose messages. There is a famous problem, known as the two-army problem, which illustrates the difficulty of getting even two perfect processors to reach agreement about 1 bit of information. The red army, with 5000 troops, is encamped in a valley. Two blue armies, each 3000 strong, are encamped on the surrounding hillsides overlooking the valley ...»

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