Self-adjusting Grid Networks to Minimize Expected Path Length

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• 作者：Chen Avin (18)
  Michael Borokhovich (18)
  Bernhard Haeupler (19)
  Zvi Lotker (18)
  
• 刊名：Lecture Notes in Computer Science
• 出版年：2013
• 出版时间：2013
• 年：2013
• 卷：8179
• 期：1
• 页码：55-67
• 全文大小：359KB
• 作者单位：Chen Avin (18)
  Michael Borokhovich (18)
  Bernhard Haeupler (19)
  Zvi Lotker (18)
  
  18. Ben-Gurion University of the Negev, Israel
  19. Massachusetts Institute of Technology, USA
  
• ISSN：1611-3349

文摘

Given a network infrastructure (e.g., data-center or on-chip-network) and a distribution on the source-destination requests, the expected path (route) length is an important measure for the performance, efficiency and power consumption of the network. In this work we initiate a study on self-adjusting networks: networks that use local-distributed mechanisms to adjust the position of the nodes (e.g., virtual machines) in the network to best fit the route requests distribution. Finding the optimal placement of nodes is defined as the minimum expected path length (MEPL) problem. This is a generalization of the minimum linear arrangement (MLA) problem where the network infrastructure is a line and the computation is done centrally. In contrast to previous work, we study the distributed version and give efficient and simple approximation algorithms for interesting and practically relevant special cases of the problem. In particular, we consider grid networks in which the distribution of requests is a symmetric product distribution. In this setting, we show that a simple greedy policy of position switching between neighboring nodes to locally minimize an objective function, achieves good approximation ratios. We are able to prove this result using the useful notions of expected rank of the distribution and the expected distance to the center of the graph.