期刊文献+

随机运动目标区域持续探测的概率最优性 被引量:2

Probability Optimality of Area Persistence Detection for a Random Moving Target
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摘要 研究了随机运动目标有限区域持续探测的概率最优性问题,证明了区域一次探测概率随时间递减。建立了相邻探测点累计发现概率与一个探测点探测周期数的数学关系,并给出了一个计算探测最大概率周期数的判据,应用此判据,可以搜索获得最优探测周期数。进行了直升机吊放声纳持续探测发现概率最优性仿真,仿真表明了计算的有效性,并得出了应以最小周期数进行直升机吊放声纳探测的结论。 Searching a random moving target in continuous space,the probability optimality of persistence detecting time in an immobility space is studied. The conclusion of the reduced probability of one cycle detection in an immobility space with time is proved. The relation between the cycle number in one detection point and the search probability of the point and the next detection point is found,and a calculation criterion for cycle number of maximum probability is given. Using the criterion,the optimal cycle number of detections is obtained. Simulation data of optimal calculation is given about a searching submarine operation used dipping sonar of helicopter. The simulation showed the validity of the algorithm and the conclusion of the minimum detection cycle number for a detection point of dipping sonar.
出处 《火力与指挥控制》 CSCD 北大核心 2014年第6期9-12,共4页 Fire Control & Command Control
基金 国家自然科学基金资助项目(61271444)
关键词 最优搜索 运动目标 探测概率 探测函数 直升机 吊放声纳 optimal search moving target detection probability detection function helicopter dipping sonar
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参考文献14

  • 1Brown S S. Optimal Seareh for Moving Target in Discrete Time and Space [J]. Operations Research, 1980,28 (6): 1275-1289.
  • 2Stone L D. Necessary and Sufficient Conditions for Optimal Search Plans for Moving Targets [J]. Mathematics of Operations Research, 1979,4(9 ):431-440.
  • 3Stewart T J. Search for Moving Target when Searcher Motionis Restricted [J]. Computations and Operations Research, 1979,6(3):129-140.
  • 4Eagle J N,Yee J R. An Optimal Branch-and-Bound Procedure for the Constrained Path Moving Target Search Problem[J]. Operations Research, 1990,38(4):110-114.
  • 5Ohsumi A. Stochastic Control with Searching a Randomly Moving Target [ C ]//Proc. of American Control Conference, 1984: 500-504.
  • 6Lukka M. On the Optimal Searching Tracks for a Moving Target [J ]. SIAM Journal of Applied Mathematics, 1977,32 (1):126-132.
  • 7Mangel M. Search for a Randomly Moving Object [ J ]. SIAM Journal of Applied Mathematics, 1981,40 (2) :327- 338.
  • 8陈建勇,王健.对随机运动目标的一种最优搜索算法[J].海军航空工程学院学报,2012,27(4):456-458. 被引量:4
  • 9陈建勇,王健,单志超.离散时间探测随机恒速目标的最优搜索算法[J].系统工程与电子技术,2013,35(8):1627-1630. 被引量:9
  • 10Avetisyan V V. Optimal Search for a Stationary Object with Respect to Minimum Guaranteed Time in a Rectangular Domain [J].Journal of Computer and Systems Sciences International, 2002,41 ( 1 ): 57-64.

二级参考文献31

  • 1陈建勇 ,冷江 ,于传健 .使用吊放声纳的直升机应召搜潜发现概率[J].海军航空工程学院学报,2004,19(5):559-561. 被引量:17
  • 2王文海.对运动目标螺旋搜索误区分析[J].火力与指挥控制,2007,32(6):48-50. 被引量:2
  • 3BROWN S S. Optimal search for moving target in discrete time and space[J]. Operations Research, 1980, 28(6): 1275-1289.
  • 4STONE L D. Necessary and sufficient conditions for optimal search plans for moving targets[J].Mathematics of Operations Research, 1979,4(9):431- 440.
  • 5STEWART T J. Search for moving target when searchermotion is restricted[J]. Computations and Operations Research, 1979,6(3): 129-140.
  • 6EAGLE J N, YEE J R. An optimal branch-and-bound procedure for the constrained path moving target search problem[J]. Operations Research, 1990,38(4): 110-114.
  • 7OHSUMI A. Stochastic control with searching a randomly moving target[C]//American Control Con- ference. 1984:500-504.
  • 8LUKKA M. On the optimal searching tracks for amoving target[J]. SIAM Journal of Applied Mathematics, 1977,32( 1): 126-132.
  • 9MANGEL M. Search for a randomly moving object[J]. SIAM Journal of Applied Mathematics, 1981,40(2): 327-338.
  • 10Stauffer C,Grimson W. Adaptive Background Mixture Mod- els for Real-time Tracking [ C ]//Proc of IEEE Conference on Computer Vision and Pattern Recognition. Fort Collins, USA: IEEE Press, 1999:246 - 252.

共引文献10

同被引文献20

  • 1HELLMAN O. On the effect of a search upon the proba-bility distribution of a target whose motion is a diffusion process[J]. Annals of Mathematical Statistics, 1970, 41 : 1717-1724.
  • 2HELLMAN O. Optimal search for a randomly moving ob- ject in a special cases[J]. Journal of Applied Probability, 1971,8:606-611.
  • 3HELLMAN O. On the optimal search for a randomly moving target[J]. SIAM Journal of Applied Mathematics, 1972,22(4) : 545-552.
  • 4LUKKA M. On the optimal searching tracks for a moving target[J]. SIAM Journal of Applied Mathematics, 1977,32 (1):126-132.
  • 5MANGEL M. Search for a randomly moving object[J].SIAM Journal of Applied Mathematics, 1981,40(2) :327- 338.
  • 6MANGEL M. Probability of success in the search for a moving target[J]. Operations Research, 1982,30( 1 ) :216- 222.
  • 7OHSUMI A. Stochastic control with searching a random- ly moving target[C]//Proceedings of American Control Conference. 1984: 500-504.
  • 8FORAKER III J C. Optimal search for moving targets in continuous time and space using consistent approxima- tions[D]. Monterey California: Naval Postgraduate School, 2011.
  • 9HELLMAN O. On the effect of a search upon the proba- bility distribution of a target whose motion is a diffusionprocess[J]. Annals of Mathematical Statistics, 1970, 41: 1717-1724.
  • 10HELLMAN O. Optimal search for a randomly moving ob- ject in a special cases[J]. Journal of Applied Probability, 1971,8:606-611.

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二级引证文献4

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