Search in unknown random environments
- 7 December 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 82 (6), 061112
- https://doi.org/10.1103/physreve.82.061112
Abstract
searchers are sent out by a source in order to locate a fixed object which is at a finite distance , but the search space is infinite and would be in general unknown. Each of the searchers has a finite random lifetime, and may be subject to destruction or failures, and it moves independently of other searchers, and at intermediate locations some partial random information may be available about which way to go. When a searcher is destroyed or disabled, or when it “dies naturally,” after some time the source becomes aware of this and it sends out another searcher, which proceeds similarly to the one that it replaces. The search ends when one of the searchers finds the object being sought. We use coupled Brownian motions to derive a closed form expression for the average search time as a function of which will depend on the parameters of the problem: the number of searchers, the average lifetime of searchers, the routing uncertainty, and the failure or destruction rate of searchers. We also examine the cost in terms of the total energy that is expended in the search. DOI: http://dx.doi.org/10.1103/PhysRevE.82.061112 ©2010 The American Physical Society
Keywords
This publication has 13 references indexed in Scilit:
- Intermittent search strategies revisited: effect of the jump length and biased motionJournal of Physics A: Mathematical and Theoretical, 2010
- Global mean first-passage times of random walks on complex networksPhysical Review E, 2009
- 3D object retrieval using the 3D shape impact descriptorPattern Recognition, 2009
- Survival of an evasive preyProceedings of the National Academy of Sciences of the United States of America, 2009
- Steps toward self-aware networksCommunications of the ACM, 2009
- A diffusion model for packet travel time in a random multihop mediumACM Transactions on Sensor Networks, 2007
- Diffusion trajectory of an asymmetric object: Information overlooked by the mean square displacementPhysical Review E, 2007
- Directed motion of Brownian particles with internal energy depotPhysica A: Statistical Mechanics and its Applications, 1999
- Active Brownian particles with energy depots modeling animal mobilityBiosystems, 1999
- On Approximate Computer System ModelsJournal of the ACM, 1975