Fence patrolling by mobile agents with distinct speeds

Akitoshi Kawamura, Yusuke Kobayashi

研究成果: ジャーナルへの寄稿記事

21 引用 (Scopus)

抄録

Suppose we want to patrol a fence (line segment) using $$k$$k mobile agents with given speeds $$v _1$$v1,.., $$v _k$$vk so that every point on the fence is visited by an agent at least once in every unit time period. Czyzowicz et al. conjectured that the maximum length of the fence that can be patrolled is $$(v _1 + \cdots + v _k)/2$$(v1+⋯+vk)/2, which is achieved by the simple strategy where each agent $$i$$i moves back and forth in a segment of length $$v _i / 2$$vi/2. We disprove this conjecture by a counterexample involving $$k = 6$$k=6 agents. We also show that the conjecture is true for $$k \le 3$$k≤3.

元の言語英語
ページ(範囲)147-154
ページ数8
ジャーナルDistributed Computing
28
発行部数2
DOI
出版物ステータス出版済み - 1 1 2015

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Fences
Mobile agents
Mobile Agent
Distinct
Disprove
Line segment
Counterexample
Unit

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Networks and Communications
  • Computational Theory and Mathematics

これを引用

Fence patrolling by mobile agents with distinct speeds. / Kawamura, Akitoshi; Kobayashi, Yusuke.

:: Distributed Computing, 巻 28, 番号 2, 01.01.2015, p. 147-154.

研究成果: ジャーナルへの寄稿記事

Kawamura, Akitoshi ; Kobayashi, Yusuke. / Fence patrolling by mobile agents with distinct speeds. :: Distributed Computing. 2015 ; 巻 28, 番号 2. pp. 147-154.
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