Design and Management of Complex Technical Processes and Systems by means of Computational Intelligence Methods Self-stablizing Cuts in Synchronous Networks

نویسندگان

  • Thomas Sauerwald
  • Dirk Sudholt
چکیده

Consider a synchronized distributed system where each node can only observe the state of its neighbors. Such a system is called selfstabilizing if it reaches a stable global state in a finite number of rounds. Allowing two different states for each node induces a cut in the network graph. In each round, every node decides whether it is (locally) satisfied with the current cut. Afterwards all unsatisfied nodes change sides independently with a fixed probability p. Using different notions of satisfaction enables the computation of maximal and minimal cuts, respectively. We analyze the expected time until such cuts are reached on several graph classes and consider the impact of the parameter p and the initial cut.

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Design and Management of Complex Technical Processes and Systems by means of Computational Intelligence Methods Computing Minimum Cuts by Randomized Search Heuristics

We study the minimum s-t-cut problem in graphs with costs on the edges in the context of evolutionary algorithms. Minimum cut problems belong to the class of basic network optimization problems that occur as crucial subproblems in many real-world optimization problems and have a variety of applications in several different areas. We prove that there exist instances of the minimum s-t-cut proble...

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تاریخ انتشار 2008