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Optimal layouts on a chain ATM network

Extended abstract
  • Ornan Gerstel
  • Avishai Wool
  • Shmuel Zaks
Session 9. Chair: Jan van Leeuwen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 979)

Abstract

We study a routing problem which occurs in high-speed (ATM) networks, termed the “one-to-many virtual path layout problem” on chain networks. This problem is essentially a tree embedding problem on a chain host graph. We present four performance measures to the quality of such an embedding which have practical implications, and find optimal solutions for each of them. We first show that the search can be restricted to the class of layouts with no crossovers. Given bounds on the load ℓ and number of hops h in a layout, we then present a family of ordered trees \(\mathcal{T}\)(l, h), within which an optimal solution can be found (if one exists at all); this holds for either the worst-case or average-case measures, and for a chain of length n, with n\(\left( {\begin{array}{*{20}c}{l + h} \\l \\\end{array} } \right)\). For the worstcase measures these trees are used in characterizing, constructing, and proving the optimality of the solutions. For the average-case measures polynomial dynamic programming algorithms are presented which find optimal solutions for all cases.

Keywords

Dynamic Programming Algorithm Chain Network Layout Problem Optimal Layout Weight Assignment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Ornan Gerstel
    • 1
  • Avishai Wool
    • 2
  • Shmuel Zaks
    • 1
  1. 1.Department of Computer ScienceTechnionHaifaIsrael
  2. 2.Department of Applied Mathematics and Computer ScienceThe Weizmann InstituteRehovotIsrael

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