212
Views
4
CrossRef citations to date
0
Altmetric
Articles

A particle filter approach to estimating target location using Brownian bridges

, ORCID Icon & ORCID Icon
Pages 589-605 | Received 04 Apr 2018, Accepted 11 Jan 2019, Published online: 26 Apr 2019

References

  • Angermann, M., Kammann, J., Robertson, P., Steingaß, A., & Strang, T. (2001). Software representation for heterogeneous location data sources using probability density functions. In International symposium on location based services for cellular users (locellus 2001).
  • Arulampalam, M. S., Maskell, S., Gordon, N., & Clapp, T. (2002). A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Transactions on Signal Processing, 50(2), 174–188. doi:10.1109/78.978374
  • Atkinson, M. P., & Singham, D. I. (2015). Multidimensional hitting time results for Brownian bridges with moving hyperplanar boundaries. Statistics & Probability Letters, 100, 85–92. doi:10.1016/j.spl.2015.02.006
  • Baumgartner, K. A., Ferrari, S., & Wettergren, T. A. (2009). Robust deployment of dynamic sensor networks for cooperative track detection. IEEE Sensors Journal, 9(9), 1029–1048. doi:10.1109/JSEN.2009.2025836
  • Ben-Zvi, T. (2017). Learning automata decision analysis for sensor placement. Journal of the Operational Research Society, 69(9).
  • Ben-Zvi, T., & Nickerson, J. V. (2012). Intruder detection: An optimal decision analysis strategy. IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews), 42(2), 249–253. doi:10.1109/TSMCC.2011.2126043
  • Brown, G., Carlyle, M., Abdul-Ghaffar, A., & Kline, J. (2011). A defender-attacker optimization of port radar surveillance. Naval Research Logistics, 58(3), 223–235. doi:10.1002/nav.20423
  • Brown, S. S. (1980). Optimal search for a moving target in discrete time and space. Operations Research, 28(6), 1275–1289. doi:10.1287/opre.28.6.1275
  • Buchin, K., Sijben, S., Arseneau, T., & Willems, E. P. (2012). Detecting movement patterns using Brownian bridges. In Proceedings of the 20th international conference. on advances in geographic information systems (pp. 119–128).
  • Bullard, F. (1999). Estimating the home range of an animal: A Brownian bridge approach (Master's thesis). The University of North Carolina, Chapel Hill.
  • Cheng, C. C. (2016). A Brownian bridge movement model to track mobile targets (Master's thesis). Naval Postgraduate School.
  • Chew, M. C. Jr.( 1973). Optimal stopping in a discrete search problem. Operations Research, 21(3), 741–747. doi:10.1287/opre.21.3.741
  • Doucet, A., & Johansen, A. M. (2009). A tutorial on particle filtering and smoothing: Fifteen years later. Handbook of Nonlinear Filtering, 12(3), 656–704.
  • Eagle, J. N., & Yee, J. R. (1990). An optimal branch-and-bound procedure for the constrained path, moving target search problem. Operations Research, 38(1), 110–114. doi:10.1287/opre.38.1.110
  • Gentil, I., Rémillard, B., & Del Moral, P. (2005). Filtering of images for detecting multiple targets trajectories. In Statistical modeling and analysis for complex data problems (pp. 267–280). Springer.
  • Gordon, N. J., Salmond, D. J., & Smith, A. F. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F Radar and Signal Processing, 140(2), 107–113. doi:10.1049/ip-f-2.1993.0015
  • Gustafsson, F. (2010). Particle filter theory and practice with positioning applications. IEEE Aerospace and Electronic Systems Magazine, 25(7), 53–82. doi:10.1109/MAES.2010.5546308
  • Gustafsson, F., Gunnarsson, F., Bergman, N., Forssell, U., Jansson, J., Karlsson, R., & Nordlund, P.-J. (2002). Particle filters for positioning, navigation, and tracking. IEEE Transactions on Signal Processing, 50(2), 425–437. doi:10.1109/78.978396
  • Horne, J. S., Garton, E. O., Krone, S. M., & Lewis, J. S. (2007). Analyzing animal movements using Brownian bridges. Ecology, 88(9), 2354–2363. doi:10.1890/06-0957.1
  • Jian, J.-Y., Matsuka, T., & Nickerson, J. V. (2006). Recognizing deception in trajectories. In 28th annual conference of the cognitive science society (pp. 1563–1568).
  • Kadane, J. B. (1971). Optimal whereabouts search. Operations Research, 19(4), 894–904. doi:10.1287/opre.19.4.894
  • Karatzas, I., & Shreve, S. (1998). Brownian motion and stochastic calculus. Springer.
  • Le Cadre, J.-P., & Souris, G. (2000). Searching tracks. IEEE Transactions on Aerospace and Electronic Systems, 36(4), 1149–1166. doi:10.1109/7.892665
  • Lersteau, C., Rossi, A., & Sevaux, M. (2016). Robust scheduling of wireless sensor networks for target tracking under uncertainty. European Journal of Operational Research, 252(2), 407–417. doi:10.1016/j.ejor.2016.01.018
  • Miller, A., & Moskowitz, I. (1996). Generalizations of the Carlton-Kimball distribution for a target’s future location. Computers & Mathematics with Applications, 31(8), 61–68. doi:10.1016/0898-1221(96)00031-4
  • Mooshegian, M. (2013). A probabilistic model of illegal drug trafficking operations in the eastern pacific and Caribbean sea (Unpublished master's thesis). Naval Postgraduate School.
  • Moskowitz, I., & Simmen, J. (1989). Asymptotic results in search theory. Naval Research Logistics (NRL), 36(5), 577–596. doi:10.1002/1520-6750(198910)36:5<577::AID-NAV3220360504>3.0.CO;2-G
  • Nunez, J. (2017). Particle Filtering Methods for Incorporating Intelligence Updates (Master's thesis). Naval Postgraduate School.
  • Pietz, J., & Royset, J. (2013). Generalized orienteering problem with resource dependent rewards. Naval Research Logistics (NRL), 60(4), 294–312. doi:10.1002/nav.21534
  • Pietz, J., & Royset, J. O. (2015). Optimal search and interdiction planning. Military Operations Research, 20(4), 59–73.
  • Pozdnyakov, V., Meyer, T., Wang, Y.-B., & Yan, J. (2014). On modeling animal movements using Brownian motion with measurement error. Ecology, 95(2), 247–253. doi:10.1890/13-0532.1
  • Przybyla, J., Taylor, J., & Zhou, X. (2010). Locating sensors for detecting source-to-target patterns of special nuclear material smuggling: A spatial information theoretic approach. Sensors, 10(9), 8070–8091. doi:10.3390/s100908070
  • Royset, J. O., & Sato, H. (2010). Route optimization for multiple searchers. Naval Research Logistics (NRL)), 57(8), 701–717. doi:10.1002/nav.20432
  • Simonin, C., Le Cadre, J.-P., & Dambreville, F. (2009). A hierarchical approach for planning a multisensor multizone search for a moving target. Computers & Operations Research, 36(7), 2179–2192. doi:10.1016/j.cor.2008.08.007
  • Sklar, M. G., & Ladany, S. P. (1993). Properties of a source location estimator in the plane. Naval Research Logistics (NRL), 40(2), 211–228. doi:10.1002/1520-6750(199303)40:2<211::AID-NAV3220400206>3.0.CO;2-4
  • Stone, L. D., & Kadane, J. B. (1981). Optimal whereabouts search for a moving target. Operations Research, 29(6), 1154–1166. doi:10.1287/opre.29.6.1154
  • Stone, L. D., Royset, J. O., & Washburn, A. R. (2016). Optimal Search for Moving Targets. Springer.
  • The MathWorks (2016). Matlab 2016b. Retrieved from https://www.mathworks.com/products/matlab.html
  • Thomas, L. C., & Hulme, P. (1997). Searching for targets who want to be found. Journal of the Operational Research Society, 48(1), 44–50. doi:10.1057/palgrave.jors.2600319
  • Turchin, P. (1991). Translating foraging movements in heterogeneous environments into the spatial distribution of foragers. Ecology, 72(4), 1253–1266. doi:10.2307/1941099
  • Vermeulen, J., & van den Brink, M. (2005). The search for an alerted moving target. Journal of the Operational Research Society, 56(5), 514–525. doi:10.1057/palgrave.jors.2601847
  • Washburn, A. R. (2002). Search and detection (4th ed). INFORMS.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.