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Traffic-light scheduling on the grid

Extended abstract
  • Guy Kortsarz
  • David Peleg
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 647)

Abstract

This paper studies the problem of route scheduling under the telephone model of communication networks. Previous work in this model considered mostly the “broadcast” and “gossip” communication primitives. The approach studied here is that of devising simple, distributed universal schedules, that are efficient for wide families of routing instances, rather than attempting to solve individual instances separately. The paper concentrates on “traffic-light” type schedules for route scheduling on the two-dimensional grid.

In order to study the problem of scheduling given route instances, routes are classified according to the number of directions they use, and tight bounds are given on the time required for scheduling route instances in each class. For routes of length d or less, using only one direction, scheduling is shown to require d+O(1) time. For simple routes using only two or three directions, scheduling is shown to require 2d + 3 and 2d + 4 time, respectively. Finally, for arbitrary simple routes scheduling is shown to require 2d + ⊗(⇏d) time.

Keywords

Problem Instance Simple Path Grid Graph Cyclic Schedule Communication Primitive 
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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References

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    A.M. Farley and A. Proskurowski. Gossiping in grid graphs. Journal of Combinatorics information and system science, 15:161–162, 1980.Google Scholar
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    S. Hedetniemi, S. Hecletniemi, and A. Liestman. A survey of gossiping and broadcasting in communication networks. Networks, 18:319–349, 1988.Google Scholar
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    G. Kortsarz. Telephone routing. M.Sc. Thesis, 1990.Google Scholar
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    G. Kortsarz and D. Peleg. Traffic-light scheduling on the grid. Discrete Applied Mathematics, 1992. To appear.Google Scholar
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    A.L. Liestman and D. Richards. Network communication in edge-colored graphs. Unpublished Manuscript, 1991.Google Scholar
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    P.J. Slater, E.J. Cockayne, and T. Hedetniemi. Information dissemination in trees. SIAM J. on Comput., 10, 1981.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Guy Kortsarz
    • 1
  • David Peleg
    • 1
  1. 1.Department of Applied Mathematics and Computer ScienceThe Weizmann InstituteRehovotIsrael

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