Skip to Main content Skip to Navigation
Journal articles

Infinite linear programming and online searching with turn cost

Abstract : We consider the problem of searching for a hidden target in an environment that consists of a set of concurrent rays. Every time the searcher turns direction , it incurs a fixed cost. The objective is to derive a search strategy for locating the target as efficiently as possible, and the performance of the strategy is evaluated by means of the well-established competitive ratio. In this paper we revisit an approach due to Demaine et al. [TCS 2006] based on infinite linear-programming formulations of this problem. We first demonstrate that their definition of duality in infinite LPs can lead to erroneous results. We then provide a non-trivial correction which establishes the optimality of a certain round-robin search strategy.
Document type :
Journal articles
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-01452876
Contributor : Gestionnaire Hal-Upmc Connect in order to contact the contributor
Submitted on : Thursday, February 2, 2017 - 12:33:44 PM
Last modification on : Thursday, March 11, 2021 - 3:38:10 AM
Long-term archiving on: : Friday, May 5, 2017 - 11:24:34 AM

File

Angelopoulos_Infinite_linear.p...
Files produced by the author(s)

Identifiers

Citation

Spyros Angelopoulos, Diogo Arsénio, Christoph Dürr. Infinite linear programming and online searching with turn cost. Theoretical Computer Science, Elsevier, 2017, ⟨10.1016/j.tcs.2017.01.013⟩. ⟨hal-01452876⟩

Share

Metrics

Record views

386

Files downloads

901