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Application of Mathematical Theories in Mobility Management

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Mobility Management

Part of the book series: Signals and Communication Technology ((SCT))

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Abstract

In the research on mobility management technology, classical mathematical theories are useful tools for mobility modeling, performance analysis, and algorithm design. This chapter describes the application of these theories in mobility management technology and presents some examples.

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References

  1. Fang Y (2003) Movement-based mobility management and trade off analysis for wireless mobile networks. IEEE Trans Comput 52(6):791–803. doi:10.1109/TC.2003.1204834

    Article  Google Scholar 

  2. Younas M, Awan I (2013) Mobility management scheme for context-aware transactions in pervasive and mobile cyberspace. IEEE Trans Ind Electron 60(3):1108–1115. doi:10.1109/TIE.2012.2198032

    Article  Google Scholar 

  3. Lei Z, Saraydar CU, Mandayam NB (1999) Mobility parameter estimation for the optimization of personal paging areas in PCS/cellular mobile networks. In: 2nd IEEE workshop on signal processing advances in wireless communications, SPAWC’99, pp 308–312. doi:10.1109/SPAWC.1999.783080

  4. Senadji B, Tabbane S, Boashash B (1994) A handover decision procedure based on the minimization of bayes criterion. In: IEEE 44th vehicular technology conference, pp 77–81. doi:10.1109/VETEC.1994.345161

  5. Senadji B, Boashash B (1997) Estimation of the hysteresis value for handover decision algorithms using Bayes criterion. In: Proceedings of 1997 IEEE international conference on information, communications and signal processing, ICICS, vol 3, pp 1771–1775. doi:10.1109/ICICS.1997.652300

  6. Ross SM (1983) Stochastic processes. Wiley, New York

    MATH  Google Scholar 

  7. http://en.wikipedia.org/wiki/Poisson_process. Accessed 24 Jan 2014

  8. Li TY, Lam KY (2002) An optimal location update and searching algorithm for tracking mobile agent. In: Proceedings of the first international joint conference on autonomous agents and multiagent systems: part 2. ACM, pp 639–646. doi:10.1145/544862.544892

  9. Zhu Y, Leung VCM (2006) Derivation of moving distance distribution to enhance sequential paging in distance-based mobility management for PCS networks. IEEE Trans Wireless Commun 5(11):3029–3033. doi:10.1109/TWC.2006.05123

    Article  Google Scholar 

  10. Lei Z, Rose C (1998) Wireless subscriber mobility management using adaptive individual location areas for pcs systems. Conference record of 1998 IEEE international conference on communications, ICC 98, vol 3, pp 1390–1394. doi:10.1109/ICC.1998.683054

  11. Li J, Kameda H, Li K (2000) Optimal dynamic mobility management for PCS networks. IEEE/ACM Trans Netw (TON) 8(3):319–327. doi:10.1109/90.851978

    Article  Google Scholar 

  12. Lin YB (1997) Reducing location update cost in a PCS network. IEEE/ACM Trans Netw (TON) 5(1):25–33. doi:10.1109/90.554719

    Article  Google Scholar 

  13. http://en.wikipedia.org/wiki/Mobility_model. Accessed 24 Jan 2014

  14. Camp T, Boleng J, Davies V (2002) A survey of mobility models for ad hoc network research. Wireless Commun Mobile Comput 2(5):483–502. doi:10.1002/wcm.72

    Article  Google Scholar 

  15. Liang B, Haas ZJ (1999) Predictive distance-based mobility management for PCS networks. In: Proceedings of the joint conference of the IEEE computer and communication societies (INFOCOM), vol 3, pp 1377–1384. doi:10.1109/INFCOM.1999.752157

  16. Hong X, Gerla M, Pei G et al (1999) A group mobility model for ad hoc wireless networks. In: Proceedings of the ACM international workshop on modeling and simulation of wireless and mobile systems (MSWiM), pp 53–60. doi:10.1145/313237.313248

  17. Bar-Noy A, Kessler I, Sidi M (1994) Mobile users: to update or not to update? In: Proceedings of the joint conference of the IEEE computer and communications societies (INFOCOM), pp 570–576. doi:10.1109/INFCOM.1994.337685

  18. Garcia-Luna-Aceves JJ, Madruga EL (1999) A multicast routing protocol for ad-hoc networks. In: Proceedings of the joint conference of the IEEE computer and communications societies (INFOCOM), vol 2, pp 784–792. doi:10.1109/INFCOM.1999.751466

  19. Rubin I, Choi CW (1997) Impact of the location area structure on the performance of signaling channels in wireless cellular networks. IEEE Commun Mag 35(2):108–115. doi:10.1109/35.565672

    Article  Google Scholar 

  20. Zonoozi MM, Dassanayake P (1997) User mobility modeling and characterization of mobility patterns. IEEE J Selected Areas Commun 15(7):1239–1252. doi:10.1109/49.622908

    Article  Google Scholar 

  21. Johnson D, Maltz D (1996) Dynamic source routing in ad hoc wireless networks. In: Mobile computing. Kluwer Academic Publishers, pp 153–181

    Google Scholar 

  22. Broch J, Maltz D, Johnson D, Hu Y et al (1998) Multi-hop wireless ad hoc network routing protocols. In Proceedings of the ACM/IEEE international conference on mobile computing and networking (MOBICOM), pp 85–97

    Google Scholar 

  23. Chiang CC, Gerla M (1998) On-demand multicast in mobile wireless networks. In: Proceedings of the IEEE international conference on network protocols (ICNP), pp 262–270. doi:10.1109/ICNP.1998.723747

  24. Garcia-Luna-Aceves JJ, Spohn M (1999) Source-tree routing in wireless networks. In: Proceedings of the 7th international conference on network protocols (ICNP), p 273

    Google Scholar 

  25. Johansson P, Larsson T, Hedman N et al (1999) Routing protocols for mobile ad-hoc networks-a comparative performance analysis. In: Proceedings of the ACM/IEEE international conference on mobile computing and networking (MOBICOM), pp 195–206

    Google Scholar 

  26. Karlin S, Taylor HM (1975) A first course in stochastic processes, 2nd edn. Academic Press, pp 340–391 (Chapter 7)

    Google Scholar 

  27. Papoulis A (1991) Probability, random variables and stochastic processes, 3rd edn. McGraw-Hill

    Google Scholar 

  28. Rose C (1996) Minimizing the average cost of paging and registration: a timer-based method. Wireless Netw 2(2):109–116. doi:10.1007/BF01225634

    Article  Google Scholar 

  29. Bai F, Sadagopan N, Helmy A (2003) IMPORTANT: A framework to systematically analyze the Impact of Mobility on Performance of RouTing protocols for Adhoc NeTworks. In: INFOCOM 2003, twenty-second annual joint conference of the IEEE computer and communications, vol 2, pp 825–835. doi:10.1109/INFCOM.2003.1208920

  30. http://en.wikipedia.org/wiki/Manhattan_mobility_model. Accessed 24 Jan 2014

  31. Akyildiz IF, Wang W (2002) A dynamic location management scheme for next-generation multitier PCS systems. IEEE Trans Wireless Commun 1(1):178–189. doi:10.1109/7693.975456

    Article  Google Scholar 

  32. Bai F, Helmy A (2008) A survey of mobility models in wireless Ad hoc Networks. University of Southern California, U.S.A. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.107.7131 Accessed 26 Jan 2014

  33. http://en.wikipedia.org/wiki/Renewal_theory. Accessed 24 Jan 2014

  34. Li K (2011) Cost analysis and minimization of movement-based location management schemes in wireless communication networks: a renewal process approach. Wireless Netw 17(4):1031–1053. doi:10.1007/s11276-011-0332-0

    Article  Google Scholar 

  35. http://mathworld.wolfram.com/MarkovProcess.html. Accessed 24 Jan 2014

  36. http://en.wikipedia.org/wiki/Markov_process. Accessed 24 Jan 2014

  37. Wang K, Huey J (1999) A cost effective distributed location management strategy for wireless networks. Wireless Netw 5(4):287–297. doi:10.1023/A:1019163414359

    Article  Google Scholar 

  38. Akyildiz IF, Ho JSM (1995) A mobile user location update and paging mechanism under delay constraints. ACM SIGCOMM Comput Commun Rev 25(4):244–255. doi:10.1145/217391.217455

    Article  Google Scholar 

  39. Casares-Giner V, Garcia-Escalle P (2004) On movement based mobility tracking strategy-a general framework. In: IEEE wireless communications and networking conference, WCNC, vol 4, pp 1957–1962. doi:10.1109/WCNC.2004.1311385

  40. Chiang KH, Shenoy N (2004) A 2-D random-walk mobility model for location-management studies in wireless networks. IEEE Trans Veh Technol 53(2):413–424. doi:10.1109/TVT.2004.823544

    Article  Google Scholar 

  41. Sheu TL, Wei WF (2010) A channel preemption model for vertical handoff in a WLAN-embedded cellular network. Wireless Netw 16(4):929–941. doi:10.1007/s11276-009-0178-x

    Article  Google Scholar 

  42. Baloch RA, Awan I, Min G (2010) A mathematical model for wireless channel allocation and handoff schemes. Telecommun Syst 45(4):275–287. doi:10.1007/s11235-009-9267-5

    Article  Google Scholar 

  43. Huang CJ, Lai WK, Wang CC et al (2001) A ratioed channel assignment scheme for initial and handoff calls in mobile cellular systems. Comput Commun 24(3):308–318

    Article  Google Scholar 

  44. Trivedi KS, Dharmaraja S, Ma X (2002) Analytic modeling of handoffs in wireless cellular networks. Inf Sci 148(1):155–166

    Article  MathSciNet  MATH  Google Scholar 

  45. Seo JH, Han KJ (2004) Channel allocation scheme for handoff control in wireless Ad Hoc network with group mobility. Telecommun Syst 25(3–4):273–285. doi:10.1023/B:TELS.0000014785.01627.22

    Article  Google Scholar 

  46. Sun C, Stevens-Navarro E, Shah-Mansouri V et al (2011) A constrained MDP-based vertical handoff decision algorithm for 4G heterogeneous wireless networks. Wireless Netw 17(4):1063–1081. doi:10.1007/s11276-011-0335-x

    Article  Google Scholar 

  47. Chen Y, Chen H, Xie L et al (2011) A handoff decision algorithm in heterogeneous wireless networks with parallel transmission capability. In: IEEE vehicular technology conference (VTC Fall), pp 1–5. doi:10.1109/VETECF.2011.6092894

  48. Zhang J, Chan HCB, Leung VCM (2006) Wlc14-6: a location-based vertical handoff decision algorithm for heterogeneous mobile networks. In: IEEE global telecommunications conference, GLOBECOM’06. IEEE, pp 1–5. doi:10.1109/GLOCOM.2006.697

  49. Stevens-Navarro E, Wong VWS, Lin Y (2007) A vertical handoff decision algorithm for heterogeneous wireless networks. In: IEEE wireless communications and networking conference, WCNC 2007, pp 3199–3204. doi:10.1109/WCNC.2007.590

  50. Song Q, Jamalipour A (2008) A quality of service negotiation-based vertical handoff decision scheme in heterogeneous wireless systems. Eur J Oper Res 191(3):1059–1074

    Article  MathSciNet  MATH  Google Scholar 

  51. Zhu L, Yu FR, Ning B (2010) An optimal handoff decision algorithm for communication-based train control (CBTC) systems. In: IEEE 72nd vehicular technology conference fall (VTC 2010-Fall), pp 1–5. doi:10.1109/VETECF.2010.5594428

  52. Sundarapandian V (2009) Probability, statistics and queueing theory. PHI Learning Private Limited, New Delhi

    MATH  Google Scholar 

  53. Chung SP, Chien SC (2005) Analysis of multiservice cellular networks with asymmetrical traffic and handoff queue. Comput Commun 28(8):864–879

    Article  Google Scholar 

  54. Louvros S, Pylarinos J, Kotsopoulos S (2007) Handoff multiple queue model in microcellular networks. Comput Commun 30(2):396–403

    Article  Google Scholar 

  55. Sen SK, Bhattacharya A, Das SK (1999) A selective location update strategy for PCS users. Wireless Netw 5(5):313–326. doi:10.1023/A:1019119632106

    Article  Google Scholar 

  56. Wu X, Mukherjee B, Bhargava B (2003) A low-cost, low-delay location update/paging scheme in hierarchical cellular networks. In: Proceedings of the 3rd ACM international workshop on data engineering for wireless and mobile access, pp 46–50. doi:10.1145/940923.940932

  57. Munasinghe KS, Jamalipour A (2010) An analytical evaluation of mobility management in integrated WLAN-UMTS networks. Comput Electr Eng 36(4):735–751

    Article  MATH  Google Scholar 

  58. Banerjee N, Wu W, Basu K et al (2004) Analysis of SIP-based mobility management in 4G wireless networks. Comput Commun 27(8):697–707

    Article  Google Scholar 

  59. Banerjee N, Basu K, Das SK (2003) Hand-off delay analysis in SIP-based mobility management in wireless networks. In: Proceedings of IEEE parallel and distributed processing symposium, p 8. doi:10.1109/IPDPS.2003.1213412

  60. http://en.wikipedia.org/wiki/Multi-criteria_decision_analysis. Accessed 24 Jan 2014

  61. Nasser N, Hasswa A, Hassanein H (2006) Handoffs in fourth generation heterogeneous networks. IEEE Commun Mag 44(10):96–103. doi:10.1109/MCOM.2006.1710420

    Article  Google Scholar 

  62. Hasswa A, Nasser N, Hassanein H (2006) Tramcar: a context-aware cross-layer architecture for next generation heterogeneous wireless networks. In: IEEE international conference on communications, ICC’06, vol 1, pp 240–245. doi:10.1109/ICC.2006.254734

  63. Hong KH, Lee SK, Kim LY et al (2009) Cost-based vertical handover decision algorithm for WWAN/WLAN integrated networks. EURASIP J Wireless Commun Netw 2009:15. doi:10.1155/2009/372185

    Article  Google Scholar 

  64. http://en.wikipedia.org/wiki/Analytic_hierarchy_process. Accessed 24 Jan 2014

  65. Saaty TL (1990) How to make a decision: the analytic hierarchy process. Eur J Oper Res 48(1):9–26

    Article  MATH  Google Scholar 

  66. Song Q, Jamalipour A (2005) A network selection mechanism for next generation networks. In: IEEE international conference on communications, ICC 2005, vol 2, pp 1418–1422. doi:10.1109/ICC.2005.1494578

  67. Balasubramaniam S, Indulska J (2003) Vertical handovers as adaption methods in pervasive systems. In: Icon 2003: 11th IEEE international conference on networks. The Institute of Electrical and Electronics Engineers, pp 705–710. doi:10.1109/ICON.2003.1266273

  68. http://en.wikipedia.org/wiki/TOPSIS. Accessed 24 Jan 2014

  69. Kassar M, Kervella B, Pujolle G (2008) An overview of vertical handover decision strategies in heterogeneous wireless networks. Comput Commun 31(10):2607–2620

    Article  Google Scholar 

  70. Zhang W (2004) Handover decision using fuzzy MADM in heterogeneous networks. In: Wireless communications and networking conference, WCNC 2004, vol 2, pp 653–658. doi:10.1109/WCNC.2004.1311263

  71. http://en.wikipedia.org/wiki/Fuzzy_logic. Accessed 24 Jan 2014

  72. Guo Q, Zhu J, Xu X (2005) An adaptive multi-criteria vertical handoff decision algorithm for radio heterogeneous network. In: IEEE international conference on communications, ICC 2005, vol 4, pp 2769–2773. doi:10.1109/ICC.2005.1494852

  73. Zekri M, Jouaber B, Zeghlache D (2010) Context aware vertical handover decision making in heterogeneous wireless networks. In: IEEE 35th conference on local computer networks (LCN), pp 764–768. doi:10.1109/LCN.2010.5735809

  74. Lee CH, Yu CJ (2004) An intelligent handoff algorithm for wireless communication systems using grey prediction and fuzzy decision system. In: IEEE international conference on networking, sensing and control, vol 1, pp 541–546. doi:10.1109/ICNSC.2004.1297497

  75. Edwards G, Kandel A, Sankar R (2000) Fuzzy handoff algorithms for wireless communication. Fuzzy Sets Syst 110(3):379–388

    Article  Google Scholar 

  76. Ben-Mubarak MA, Ali BM, Noordin NK et al (2013) Fuzzy logic based self-adaptive handover algorithm for mobile WiMAX. Wireless Pers Commun 71(2):1421–1442

    Article  Google Scholar 

  77. Honman B, Benjapolakul W (1998) A handover decision procedure for mobile telephone systems using fuzzy logic. In: The 1998 IEEE Asia-Pacific conference on circuits and systems, IEEE APCCAS 1998, pp 503–506. doi:10.1109/APCCAS.1998.743835

  78. Homnan B, Benjapolakul W (2003) Adaptation of CDMA soft handoff thresholds using fuzzy inference system. Wireless Pers Commun 26(4):325–345. doi:10.1023/A:1025684710889

    Article  Google Scholar 

  79. Homnan B, Benjapolakul W (2004) Application of fuzzy inference to CDMA soft handoff in mobile communication systems. Fuzzy Sets Syst 144(2):345–363

    Article  MathSciNet  Google Scholar 

  80. Zhu Y, Leung VCM (2006) A fuzzy distance-based location management scheme for PCS networks. In: IEEE 63rd vehicular technology conference, VTC 2006-Spring, vol 3, pp 1063–1067. doi:10.1109/VETECS.2006.1682997

  81. Zhu Y, Yu L (2005) A dynamic forwarding pointer mobility management strategy with a fuzzy logic controller. J Comput Res Dev 42(12):2048–2055

    Article  Google Scholar 

  82. Zhu Y, Pedryez W (2005) A fuzzy forwarding pointer location management strategy for personal communication networks. In: Proceedings of 2005 IEEE networking, sensing and control, pp 38–43. doi:10.1109/ICNSC.2005.1461157

  83. Taheri J, Zomaya AY, Iftikhar M (2011) Fuzzy online location management in mobile computing environments. J Parallel Distrib Comput 71(8):1142–1153

    Article  Google Scholar 

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Chen, S., Shi, Y., Hu, B., Ai, M. (2016). Application of Mathematical Theories in Mobility Management. In: Mobility Management. Signals and Communication Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52726-9_4

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  • DOI: https://doi.org/10.1007/978-3-662-52726-9_4

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