메뉴 건너뛰기




Volumn 20, Issue 6, 2009, Pages 872-885

Critical density for coverage and connectivity in three-dimensional wireless sensor networks using continuum percolation

Author keywords

Connectivity; Continuum percolation; Coverage; Three dimensional wireless sensor networks

Indexed keywords

BEST FIT; CONNECTED COMPONENT; CONNECTIVITY; CONTINUUM PERCOLATION; CONTINUUM PERCOLATION THEORY; COVERAGE; CRITICAL DENSITY; ENERGY EFFICIENT; MULTI HOP COMMUNICATION; NETWORK DEGREE; SPHERE MODEL; THREE PROBLEMS; THREE-DIMENSIONAL (3D) SPACE; THREE-DIMENSIONAL WIRELESS SENSOR NETWORKS; TOPOLOGY CONTROL PROTOCOLS;

EID: 67349089936     PISSN: 10459219     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPDS.2008.146     Document Type: Article
Times cited : (101)

References (57)
  • 2
    • 32944460423 scopus 로고    scopus 로고
    • Coverage by Directional Sensors in Randomly Deployed Wireless Sensor Networks
    • Feb
    • J. Ai and A. Abouzeid, "Coverage by Directional Sensors in Randomly Deployed Wireless Sensor Networks," J. Combinatorial Optimization vol. 11, no. 1, pp. 21-41, Feb. 2006.
    • (2006) J. Combinatorial Optimization , vol.11 , Issue.1 , pp. 21-41
    • Ai, J.1    Abouzeid, A.2
  • 3
    • 13944252629 scopus 로고    scopus 로고
    • Underwater Acoustic Sensor Networks: Research Challenges
    • Mar
    • I. Akyildiz, D. Pompili, and T. Melodia, "Underwater Acoustic Sensor Networks: Research Challenges," Ad Hoc Networks, vol. 3, pp. 257-279, Mar. 2005.
    • (2005) Ad Hoc Networks , vol.3 , pp. 257-279
    • Akyildiz, I.1    Pompili, D.2    Melodia, T.3
  • 4
    • 27544506486 scopus 로고    scopus 로고
    • Challenges for Efficient Communications in Underwater Acoustic Sensor Networks
    • July
    • I. Akyildiz, D. Pompili, and T. Melodia, "Challenges for Efficient Communications in Underwater Acoustic Sensor Networks," ACM SIGBED Rev., vol. 1, no. 2, pp. 3-8, July 2004.
    • (2004) ACM SIGBED Rev , vol.1 , Issue.2 , pp. 3-8
    • Akyildiz, I.1    Pompili, D.2    Melodia, T.3
  • 5
    • 33751061514 scopus 로고    scopus 로고
    • Coverage and Connectivity in Three-Dimensional Networks
    • S.M. Alam and Z.J. Haas, "Coverage and Connectivity in Three-Dimensional Networks," Proc. ACM MobiCom '06, pp. 346-357, 2006.
    • (2006) Proc. ACM MobiCom '06 , pp. 346-357
    • Alam, S.M.1    Haas, Z.J.2
  • 8
    • 36849104120 scopus 로고
    • Percus-Yevick Equation for Hard Spheres with Surface Adhesion
    • Sept
    • R.J. Baxter, "Percus-Yevick Equation for Hard Spheres with Surface Adhesion," J. Chemical Physics, vol. 49, no. 6, pp. 2770-2774, Sept. 1968.
    • (1968) J. Chemical Physics , vol.49 , Issue.6 , pp. 2770-2774
    • Baxter, R.J.1
  • 9
    • 0001067702 scopus 로고
    • Ornstein-Zernike Relation for a Disordered Fluid
    • R. Baxter, "Ornstein-Zernike Relation for a Disordered Fluid," Australian J. Physics, vol. 21, pp. 563-569, 1968.
    • (1968) Australian J. Physics , vol.21 , pp. 563-569
    • Baxter, R.1
  • 11
    • 36749117952 scopus 로고
    • Polydisperse Systems. I. Scattering Function for Polydisperse Fluids of Hard or Permeable Spheres
    • July
    • L. Blum and G. Stell, "Polydisperse Systems. I. Scattering Function for Polydisperse Fluids of Hard or Permeable Spheres," J. Chemical Physics, vol. 71, no. 1, pp. 42-46, July 1979.
    • (1979) J. Chemical Physics , vol.71 , Issue.1 , pp. 42-46
    • Blum, L.1    Stell, G.2
  • 12
    • 21144445765 scopus 로고    scopus 로고
    • Covering Algorithms, Continuum Percolation and the Geometry ofWireless Networks
    • L. Booth, J. Bruck, M. Franceschetti, and R. Meester, "Covering Algorithms, Continuum Percolation and the Geometry ofWireless Networks," Annals of Applied Probability, vol. 13, no. 2, pp. 722-741, 2003.
    • (2003) Annals of Applied Probability , vol.13 , Issue.2 , pp. 722-741
    • Booth, L.1    Bruck, J.2    Franceschetti, M.3    Meester, R.4
  • 17
    • 41349109716 scopus 로고    scopus 로고
    • Random Geometric Graphs
    • 016121, pp, July
    • J. Dall and M. Christensen, "Random Geometric Graphs," Physical Rev. E, vol. 66, no. 1, 016121, pp. 1-9, July 2002.
    • (2002) Physical Rev. E , vol.66 , Issue.1 , pp. 1-9
    • Dall, J.1    Christensen, M.2
  • 18
    • 0039617023 scopus 로고
    • A Theory of Percolation in Liquids
    • July
    • T. DeSimone, S. Demoulini, and R.M. Stratt, "A Theory of Percolation in Liquids," J. Chemical Physics, vol. 85, no. 1, pp. 391-400, July 1986.
    • (1986) J. Chemical Physics , vol.85 , Issue.1 , pp. 391-400
    • DeSimone, T.1    Demoulini, S.2    Stratt, R.M.3
  • 19
    • 5544276605 scopus 로고
    • Continuum Percolation in an Interacting System: Exact Solution of the Percus-Yevick Equation for Connectivity in Liquids
    • Mar
    • T. DeSimone, R.M. Stratt, and S. Demoulini, "Continuum Percolation in an Interacting System: Exact Solution of the Percus-Yevick Equation for Connectivity in Liquids," Physical Rev. Letters, vol. 56, no. 11, pp. 1140-1143, Mar. 1986.
    • (1986) Physical Rev. Letters , vol.56 , Issue.11 , pp. 1140-1143
    • DeSimone, T.1    Stratt, R.M.2    Demoulini, S.3
  • 20
    • 28444481397 scopus 로고    scopus 로고
    • Maintaining Differentiated Coverage in Heterogeneous Sensor Networks
    • Sept
    • X. Du and F. Lin, "Maintaining Differentiated Coverage in Heterogeneous Sensor Networks," EURASIP J. Wireless Comm. and Networking, vol. 5, no. 4, pp. 565-572, Sept. 2005.
    • (2005) EURASIP J. Wireless Comm. and Networking , vol.5 , Issue.4 , pp. 565-572
    • Du, X.1    Lin, F.2
  • 22
    • 60449092348 scopus 로고    scopus 로고
    • A Geometric Theorem for Wireless Network Design Optimization,
    • M. Franceschetti, M. Cook, and J. Bruck, "A Geometric Theorem for Wireless Network Design Optimization," technical report, http:// paradise.caltech.edu/papers/, 2002.
    • (2002) technical report
    • Franceschetti, M.1    Cook, M.2    Bruck, J.3
  • 23
    • 84963085136 scopus 로고
    • A New Statistical Approach to Geographic Variation Analysis
    • Sept
    • K.R. Gabriel and R.R. Sokal, "A New Statistical Approach to Geographic Variation Analysis," Systematic Zoology, vol. 18, no. 3, pp. 259-278, Sept. 1969.
    • (1969) Systematic Zoology , vol.18 , Issue.3 , pp. 259-278
    • Gabriel, K.R.1    Sokal, R.R.2
  • 25
    • 0000657887 scopus 로고
    • Random Plane Networks
    • Dec
    • E.N. Gilbert, "Random Plane Networks," J. SIAM, vol. 9, no. 4, pp. 533-543, Dec. 1961.
    • (1961) J. SIAM , vol.9 , Issue.4 , pp. 533-543
    • Gilbert, E.N.1
  • 26
    • 0037671427 scopus 로고    scopus 로고
    • Continuum Percolation of Wireless Ad Hoc Communication Networks
    • I. Glauche, W. Krause, R. Sollacher, and M. Greiner, "Continuum Percolation of Wireless Ad Hoc Communication Networks," Physica A vol. 325, pp. 577-600, 2003.
    • (2003) Physica A , vol.325 , pp. 577-600
    • Glauche, I.1    Krause, W.2    Sollacher, R.3    Greiner, M.4
  • 29
    • 36849123370 scopus 로고
    • Molecular Clusters in Imperfect Gases
    • Apr
    • T. Hill, "Molecular Clusters in Imperfect Gases," J. Chemical Physics, vol. 23, no. 4, pp. 617-622, Apr. 1955.
    • (1955) J. Chemical Physics , vol.23 , Issue.4 , pp. 617-622
    • Hill, T.1
  • 31
    • 18144362070 scopus 로고    scopus 로고
    • The Coverage Problem in Three-Dimensional Wireless Sensor Networks
    • C. Huang, Y. Tseng, and L. Lo, "The Coverage Problem in Three-Dimensional Wireless Sensor Networks," Proc. IEEE GLOBECOM '04 pp. 3182-3186, 2004.
    • (2004) Proc. IEEE GLOBECOM '04 , pp. 3182-3186
    • Huang, C.1    Tseng, Y.2    Lo, L.3
  • 32
    • 25844514251 scopus 로고    scopus 로고
    • Monotone Percolation and the Topology Control of Wireless Networks
    • A. Jiang and J. Bruck, "Monotone Percolation and the Topology Control of Wireless Networks," Proc. IEEE INFOCOM '05, pp. 327-338, 2005.
    • (2005) Proc. IEEE INFOCOM '05 , pp. 327-338
    • Jiang, A.1    Bruck, J.2
  • 34
    • 11244289227 scopus 로고    scopus 로고
    • On k-Coverage in a Mostly Sleeping Sensor Network
    • S. Kumar, T.H. Lai, and J. Balogh, "On k-Coverage in a Mostly Sleeping Sensor Network," Proc. ACM MobiCom '04, pp. 144-158, 2004.
    • (2004) Proc. ACM MobiCom '04 , pp. 144-158
    • Kumar, S.1    Lai, T.H.2    Balogh, J.3
  • 35
    • 33750304737 scopus 로고    scopus 로고
    • Stochastic Coverage in Heterogeneous Sensor Networks
    • Aug
    • L. Lazos and R. Poovendran, "Stochastic Coverage in Heterogeneous Sensor Networks," ACM Trans. Sensor Networks, vol. 2, no. 3, pp. 325-358, Aug. 2006.
    • (2006) ACM Trans. Sensor Networks , vol.2 , Issue.3 , pp. 325-358
    • Lazos, L.1    Poovendran, R.2
  • 36
    • 0038719858 scopus 로고    scopus 로고
    • Coverage in Wireless Ad-Hoc Sensor Networks
    • June
    • X. Li, P. Wan, and O. Frieder, "Coverage in Wireless Ad-Hoc Sensor Networks," IEEE Trans. Computers, vol. 52, no. 6, pp. 753-763, June 2003.
    • (2003) IEEE Trans. Computers , vol.52 , Issue.6 , pp. 753-763
    • Li, X.1    Wan, P.2    Frieder, O.3
  • 40
    • 0034997317 scopus 로고    scopus 로고
    • S. Megerian, F. Koushanfar, M. Potkonjak, and M. Srivastava, Coverage Problems in Wireless Ad-Hoc Sensor Networks, Proc. IEEE INFOCOM '01 pp. 1380-1387, 2001.
    • S. Megerian, F. Koushanfar, M. Potkonjak, and M. Srivastava, "Coverage Problems in Wireless Ad-Hoc Sensor Networks," Proc. IEEE INFOCOM '01 pp. 1380-1387, 2001.
  • 41
    • 0000354159 scopus 로고
    • Accidental Deviations of Density and Opalescence at the Critical Point of a Single Substance
    • L.S. Ornstein and F. Zernike, "Accidental Deviations of Density and Opalescence at the Critical Point of a Single Substance," Koninklijke Nederlandsche Akademie van Wetenschappen Proc., vol. 17, pp. 793-806, 1914.
    • (1914) Koninklijke Nederlandsche Akademie van Wetenschappen Proc , vol.17 , pp. 793-806
    • Ornstein, L.S.1    Zernike, F.2
  • 44
    • 4544294790 scopus 로고    scopus 로고
    • Extremal Properties of Three-Dimensional Sensor Networks with Applications
    • July-Aug
    • V. Ravelomanana, "Extremal Properties of Three-Dimensional Sensor Networks with Applications," IEEE Trans. Mobile Computing, vol. 3, no. 3, pp. 246-257, July-Aug. 2004.
    • (2004) IEEE Trans. Mobile Computing , vol.3 , Issue.3 , pp. 246-257
    • Ravelomanana, V.1
  • 45
    • 0041939724 scopus 로고    scopus 로고
    • Unreliable Sensor Grids: Coverage, Connectivity and Diameter
    • S. Shakkottai, R. Srikant, and N. Shroff, "Unreliable Sensor Grids: Coverage, Connectivity and Diameter," Proc. IEEE INFOCOM '03, pp. 1073-1083, 2003.
    • (2003) Proc. IEEE INFOCOM '03 , pp. 1073-1083
    • Shakkottai, S.1    Srikant, R.2    Shroff, N.3
  • 46
    • 24144479511 scopus 로고    scopus 로고
    • Connectivity Maintenance and Coverage Preservation in Wireless Sensor Networks
    • D. Tian and N. Georganas, "Connectivity Maintenance and Coverage Preservation in Wireless Sensor Networks," Ad Hoc Networks, vol. 3, pp. 744-761, 2005.
    • (2005) Ad Hoc Networks , vol.3 , pp. 744-761
    • Tian, D.1    Georganas, N.2
  • 47
    • 0011465422 scopus 로고
    • Bulk Properties of Two-Phase Disordered Media. I. Cluster Expansion for the Effective Dielectric Constant of Dispersions of Penetrable Spheres
    • Dec
    • S. Torquato, "Bulk Properties of Two-Phase Disordered Media. I. Cluster Expansion for the Effective Dielectric Constant of Dispersions of Penetrable Spheres," J. Chemical Physics, vol. 81, no. 11, pp. 5079-5088, Dec. 1984.
    • (1984) J. Chemical Physics , vol.81 , Issue.11 , pp. 5079-5088
    • Torquato, S.1
  • 48
    • 33745172099 scopus 로고    scopus 로고
    • Coverage by Randomly Deployed Wireless Sensor Networks
    • June
    • P.-J. Wan and C.-W. Yi, "Coverage by Randomly Deployed Wireless Sensor Networks," IEEE Trans. Information Theory, vol. 52, no. 6, pp. 2658-2669, June 2006.
    • (2006) IEEE Trans. Information Theory , vol.52 , Issue.6 , pp. 2658-2669
    • Wan, P.-J.1    Yi, C.-W.2
  • 49
    • 33747624071 scopus 로고    scopus 로고
    • Integrated Coverage and Connectivity Configuration for Energy Conservation in Sensor Networks
    • Aug
    • G. Xing, X. Wang, Y. Zhang, C. Lu, R. Pless, and C. Gill, "Integrated Coverage and Connectivity Configuration for Energy Conservation in Sensor Networks," ACM Trans. Sensor Networks, vol. 1, no. 1, pp. 36-72, Aug. 2005.
    • (2005) ACM Trans. Sensor Networks , vol.1 , Issue.1 , pp. 36-72
    • Xing, G.1    Wang, X.2    Zhang, Y.3    Lu, C.4    Pless, R.5    Gill, C.6
  • 51
    • 39049146704 scopus 로고    scopus 로고
    • Is Deterministic Deployment Worse Than Random Deployment for Wireless Sensor Networks?
    • H. Zhang and J. Hou, "Is Deterministic Deployment Worse Than Random Deployment for Wireless Sensor Networks?" Proc. IEEE INFOCOM '06, pp. 1-13, 2006.
    • (2006) Proc. IEEE INFOCOM '06 , pp. 1-13
    • Zhang, H.1    Hou, J.2
  • 52
    • 85045636699 scopus 로고    scopus 로고
    • Maintaining Sensing Coverage and Connectivity in Large Sensor Networks
    • Mar
    • H. Zhang and J. Hou, "Maintaining Sensing Coverage and Connectivity in Large Sensor Networks," Ad Hoc & Sensor Wireless Networks, vol. 1, nos. 1-2, pp. 89-124, Mar. 2005.
    • (2005) Ad Hoc & Sensor Wireless Networks , vol.1 , Issue.1-2 , pp. 89-124
    • Zhang, H.1    Hou, J.2
  • 53
    • 46449112734 scopus 로고    scopus 로고
    • On the Upper Bound of α-Lifetime for Large Sensor Networks
    • Nov
    • H. Zhang and J. Hou, "On the Upper Bound of α-Lifetime for Large Sensor Networks," ACM Trans. Sensor Networks, vol. 1, no. 2, pp. 272-300, Nov. 2005.
    • (2005) ACM Trans. Sensor Networks , vol.1 , Issue.2 , pp. 272-300
    • Zhang, H.1    Hou, J.2
  • 54
    • 4444255460 scopus 로고    scopus 로고
    • On Deriving the Upper Bound of Lifetime for Large Sensor Networks
    • H. Zhang and J. Hou, "On Deriving the Upper Bound of Lifetime for Large Sensor Networks," Proc. ACM MobiHoc '04, pp. 121-132, 2004.
    • (2004) Proc. ACM MobiHoc '04 , pp. 121-132
    • Zhang, H.1    Hou, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.