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Time Varying Communication Networks: Modelling, Reliability Evaluation and Optimization

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Advances in Reliability Analysis and its Applications

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

In recent times, there has been a tremendous research interests and growth in the direction of time varying communication networks (TVCNs) due to their widespread applications. The examples of such networks include, but not limited to, the networks like mobile ad hoc networks (MANETs), delay tolerant networks (DTNs), vehicular ad hoc networks (VANETs) and opportunistic mobile networks (OMNs). Some formidable challenges posed by such networks are long propagation delay, frequent disruption of communication between any two nodes, high error rates, asymmetric link rates, lack of end-to-end connectivity, routing, etc. Thus, it is vital for TVCN design, modelling and performance evaluation and/or comparison to assess their performance through some quantifiable metrics like packet delivery ratio (PDR), average number of link failures during the routing process, routing requests ratio, average end-to-end (E2E) delay, route lifetime and network reliability. Although a plethora of tools and techniques are available that deal with the design, modelling, analysis and assessment of reliability and other performance metrics of static networks yet the same is not true for the present days’ TVCNs. This Chapter describes extension of the reliability assessment techniques and performance metrics used for static networks to the TVCNs. More specifically, the aspects dealt in this chapter are: (i) TVCN models for representing features like mobility, links and topology, (ii) description of the notion of time-stamped-minimal path sets (TS-MPS) and time-stamped-minimal cut sets (TS-MCS) for TVCNs as an extension of MPS and MCS, respectively that are widely used in static networks, (iii) techniques for enumerating TS-MPS and TS-MCS, and evaluating reliability measure(s)-particularly two-terminal reliability, expected hop and slot counts along with some other related metrics, and (iv) discussion on several recent optimization problems in TVCNs.

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References

  1. Conti M, Giordano S (2014) Mobile ad hoc networking: milestones, challenges, and new research directions. IEEE Commun Mag 52(1):85–96

    Article  Google Scholar 

  2. Khanna G, Chaturvedi SK, Soh S (2019) Reliability evaluation of mobile ad hoc networks by considering link expiration time and border time. Int J Syst Assur Eng Manage

    Google Scholar 

  3. Liang Q (2015) Survivability of time-varying networks. Massachusetts Institute of Technology

    Google Scholar 

  4. Casteigts A, Flocchini P, Quattrociocchi W, Santoro N (2011) Time-Varying graphs and dynamic networks. In: Frey H, Li X, Ruehrup S (eds) Ad-hoc, mobile, and wireless networks. Springer, Berlin, pp 346–359

    Chapter  Google Scholar 

  5. Fraire JA, Madoery PG, Finochietto JM, Leguizamón G (2017) An evolutionary approach towards contact plan design for disruption-tolerant satellite networks. Appl Soft Comput 52(Supplement C):446–456

    Article  Google Scholar 

  6. Juang P, Oki H, Wang Y, Martonosi M, Peh LS, Rubenstein D (2002) Energy-efficient computing for wildlife tracking: design tradeoffs and early experiences with ZebraNet. ACM SIGARCH Comput Archit News 30(5):96

    Article  Google Scholar 

  7. Pentland A, Fletcher R, Hasson A (2004) DakNet: rethinking connectivity in developing nations. Computer 37(1):78–83

    Article  Google Scholar 

  8. Khanna G, Chaturvedi SK, Soh S (2019) On computing the reliability of opportunistic multihop networks with Mobile relays. Qual Reliab Eng Int 35(4):870–888

    Article  Google Scholar 

  9. Holme P, Saramäki J (eds) (2013) Temporal networks. Springer, Berlin

    Google Scholar 

  10. Costa L da F et al (2011) Analyzing and modeling real-world phenomena with complex networks: a survey of applications. Adv Phys 60(3):329–412

    Article  Google Scholar 

  11. Batabyal S, Bhaumik P (2015) Mobility models, traces and impact of mobility on opportunistic routing algorithms: a survey. IEEE Commun Surv Tutor 17(3):1679–1707

    Article  Google Scholar 

  12. Casteigts A, Flocchini P, Quattrociocchi W, Santoro N (2012) Time-varying graphs and dynamic networks. Int J Parallel Emergent Distrib Syst 27(5):387–408

    Article  Google Scholar 

  13. Holme P, Saramäki J (2012) Temporal networks. Phys Rep 519(3):97–125

    Article  Google Scholar 

  14. Qirtas MM, Faheem Y, Rehmani MH (2017) Throwboxes in delay tolerant networks: a survey of placement strategies, buffering capacity, and mobility models. J Netw Comput Appl 91(Supplement C):89–103

    Article  Google Scholar 

  15. Ferreira A (2003) Building a reference combinatorial model for dynamic networks: initial results in evolving graphs

    Google Scholar 

  16. Ferreira A (2002) On models and algorithms for dynamic communication networks: the case for evolving graphs. In: In Proceedings of ALGO℡

    Google Scholar 

  17. Khanna G, Chaturvedi SK (2018) A comprehensive survey on multi-hop wireless networks: milestones, changing trends and concomitant challenges. Wirel Pers Commun 101(2):677–722

    Article  Google Scholar 

  18. Roy RR (2011) Handbook of mobile ad hoc networks for mobility models. Springer, US, Boston, MA

    Book  MATH  Google Scholar 

  19. Bai F, Helmy A (2004) A survey of mobility models. Wirel Adhoc Netw Univ South Calif USA 206

    Google Scholar 

  20. Aschenbruck N, Munjal A, Camp T (2011) Trace-based mobility modeling for multi-hop wireless networks. Comput Commun 34(6):704–714

    Article  Google Scholar 

  21. Munjal A, Camp T, Aschenbruck N (2012) Changing trends in modeling mobility. J Electr Comput Eng 2012:1–16

    Article  MathSciNet  Google Scholar 

  22. Baudic G, Perennou T, Lochin E (2016) Following the right path: using traces for the study of DTNs. Comput Commun 88:25–33

    Article  Google Scholar 

  23. Newman M, Barabasi A-L, Watts DJ (2006) The structure and dynamics of networks. Princeton University Press

    Google Scholar 

  24. Hekmat R (2006) Ad-Hoc networks: fundamental properties and network topologies. Springer Science & Business Media

    Google Scholar 

  25. Penrose M (2003) Random geometric graphs, vol 5. Oxford University Press, Oxford

    Book  MATH  Google Scholar 

  26. Díaz J, Mitsche D, Santi P (2011) Theoretical aspects of graph models for MANETs. In: Theoretical aspects of distributed computing in sensor networks Springer, pp 161–190

    Google Scholar 

  27. Peiravi A, Kheibari HT (2008) Fast estimation of network reliability using modified Manhattan distance in mobile wireless networks. J Appl Sci 8(23):4303–4311

    Article  MATH  Google Scholar 

  28. Padmavathy N, Chaturvedi SK (2013) Evaluation of mobile ad hoc network reliability using propagation-based link reliability model. Reliab Eng Syst Saf 115:1–9

    Article  Google Scholar 

  29. Caldarelli G (2007) Scale-free networks: complex webs in nature and technology. Oxford University Press, Oxford

    Book  MATH  Google Scholar 

  30. Silva AP, Hilario MR, Hirata CM, Obraczka K (2015) A percolation-based approach to model DTN congestion control, pp 100–108

    Google Scholar 

  31. Chen W (2014) Explosive percolation in random networks. Springer, Berlin

    Book  MATH  Google Scholar 

  32. Amor SB, Bui M, Lavallée I (2010) Optimizing mobile networks connectivity and routing using percolation theory and epidemic algorithms. In: IICS, pp 63–78

    Google Scholar 

  33. Shen C-C, Huang Z, Jaikaeo C (2006) Directional broadcast for mobile ad hoc networks with percolation theory. Mob Comput IEEE Trans 5(4):317–332

    Article  Google Scholar 

  34. Li D, Zhang Q, Zio E, Havlin S, Kang R (2015) Network reliability analysis based on percolation theory. Reliab Eng Syst Saf 142:556–562

    Article  Google Scholar 

  35. Coll-Perales B, Gozalvez J, Lazaro O, Sepulcre M (2015) Opportunistic multihopping for energy efficiency: opportunistic multihop cellular networking for energy-efficient provision of mobile delay-tolerant services. IEEE Veh Technol Mag 10(2):93–101

    Article  Google Scholar 

  36. Khanna G, Chaturvedi SK, Soh S (2019) Two-Terminal reliability analysis for time-evolving and predictable delay-tolerant networks. Recent Adv Electr Electron Eng 12:1

    Google Scholar 

  37. Liang Q, Modiano E (2017) Survivability in time-varying networks. IEEE Trans Mob Comput 16(9):2668–2681

    Article  Google Scholar 

  38. Holme P (2015) Modern temporal network theory: a colloquium. Eur Phys J B 88(9):1–30

    Article  Google Scholar 

  39. Chaturvedi SK, Khanna G, Soh S (2018) Reliability evaluation of time evolving Delay Tolerant Networks based on Sum-of-Disjoint products. Reliab Eng Syst Saf 171:136–151

    Article  Google Scholar 

  40. Gottumukkala RN, Venna SR, Raghavan V (2015) Visual analytics of time evolving large-scale graphs. IEEE Intell Inf Bull 16(1):10–16

    Google Scholar 

  41. Fraire JA, Madoery PG, Charif A, Finochietto JM (2018) On route table computation strategies in delay-tolerant satellite networks. Ad Hoc Netw 80:31–40

    Article  Google Scholar 

  42. Huang S, Cheng J, Wu H (2014) Temporal graph traversals: definitions, algorithms, and applications. ArXiv Prepr. ArXiv14011919@@

    Google Scholar 

  43. Misra KB (1992) Reliability analysis and prediction: a methodology oriented treatment. Elsevier, Amsterdam, New York

    MATH  Google Scholar 

  44. Chaturvedi SK (2016) Network reliability: measures and evaluation. John, Hoboken, New Jersey , Salem, Massachusetts, Scrivener Publishing

    Book  MATH  Google Scholar 

  45. Chaturvedi SK, Misra KB (2002) An efficient multi-variable inversion algorithm for reliability evaluation of complex systems using path sets. Int J Reliab Qual Saf Eng 09(03):237–259

    Article  Google Scholar 

  46. Mishra R, Chaturvedi SK (2009) A cutsets-based unified framework to evaluate network reliability measures. IEEE Trans Reliab 58(4):658–666

    Article  Google Scholar 

  47. Ahmad SH (1988) Simple enumeration of minimal cutsets of acyclic directed graph. IEEE Trans Reliab 37(5):484–487

    Article  MATH  Google Scholar 

  48. Soh S, Lau W, Rai S, Brooks RR (2007) On computing reliability and expected hop count of wireless communication networks. Int J Perform Eng 3(2):267–279

    Google Scholar 

  49. Billinton R, Allan RN (1992) Reliability evaluation of engineering systems concepts and techniques. Springer, Boston, MA, USA, Springer, Imprint

    Chapter  MATH  Google Scholar 

  50. Clark J, Holton DA (2005) A first look at graph theory. World Scientific, Singapore

    MATH  Google Scholar 

  51. Soh S, Rai S (2005) An efficient cutset approach for evaluating communication-network reliability with heterogeneous link-capacities. IEEE Trans Reliab 54(1):133–144

    Article  Google Scholar 

  52. Cook JL, Ramirez-Marquez JE (2008) Mobility and reliability modeling for a mobile ad hoc network. IIE Trans 41(1):23–31

    Article  Google Scholar 

  53. Chaturvedi SK, Padmavathy N (2013) The influence of scenario metrics on network reliability of mobile ad hoc network. Int J Perform Eng 9(1)

    Google Scholar 

  54. Padmavathy N, Chaturvedi SK (2015) Reliability evaluation of capacitated mobile ad hoc network using log-normal shadowing propagation model. Int J Reliab Saf 9(1):70–89

    Article  Google Scholar 

  55. Migov DA, Shakhov V (2014) Reliability of ad hoc networks with imperfect nodes. Presented at the International workshop on multiple access communications, pp 49–58

    Google Scholar 

  56. Rebaiaia M-L, Ait-Kadi D (2015) Reliability evaluation of imperfect K-terminal stochastic networks using polygon-to chain and series-parallel reductions. In: Proceedings of the 11th ACM symposium on QoS and security for wireless and mobile networks, pp 115–122

    Google Scholar 

  57. Ahmad M, Mishra DK (2012) A reliability calculations model for large-scale MANETs. Int J Comput Appl 59(9)

    Article  Google Scholar 

  58. Singh MM, Baruah M, Mandal JK (2014) Reliability computation of mobile Ad-Hoc network using logistic regression. In: 2014 eleventh international conference on wireless and optical communications networks (WOCN), pp 1–5

    Google Scholar 

  59. Kharbash S, Wang W (2007) Computing two-terminal reliability in mobile ad hoc networks. In: Wireless communications and networking conference, 2007. WCNC 2007. IEEE, pp 2831–2836

    Google Scholar 

  60. Rai S, Kumar A, Prasad EV (1986) Computing terminal reliability of computer network. Reliab Eng 16(2):109–119

    Article  Google Scholar 

  61. Egeland G, Engelstad P (2009) The availability and reliability of wireless multi-hop networks with stochastic link failures. IEEE J Sel Areas Commun 27(7):1132–1146

    Article  Google Scholar 

  62. Panda DK, Dash RK (2017) Reliability evaluation and analysis of mobile Ad Hoc networks. Int J Electr Comput Eng IJECE 7(1)

    Article  Google Scholar 

  63. Meena KS, Vasanthi T (2016) Reliability analysis of mobile Ad Hoc networks using universal generating function: reliability analysis of MANET using UGF. Qual Reliab Eng Int 32(1):111–122

    Article  Google Scholar 

  64. Meena KS, Vasanthi T (2016) Reliability design for a MANET with cluster-head gateway routing protocol. Commun Stat. Theory Methods 45(13):3904–3918

    Article  MathSciNet  MATH  Google Scholar 

  65. Eiza MH, Ni Q (2013) An evolving graph-based reliable routing scheme for VANETs. IEEE Trans Veh Technol 62(4):1493–1504

    Article  Google Scholar 

  66. Misra KB (1975) On optimal reliability design: a review. IFAC Proc 8(1):27–36

    Article  MathSciNet  Google Scholar 

  67. Misra K (1991) Multicriteria redundancy optimization using an efficient search procedure. Int J Syst Sci 22(11):2171–2183

    Article  MathSciNet  MATH  Google Scholar 

  68. Misra K (1991) Search procedure to solve integer programming problems arising in reliability design of a system. Int J Syst Sci 22(11):2153–2169

    Article  MathSciNet  MATH  Google Scholar 

  69. Li D, Sun X, McKinnon K (2005) An exact solution method for reliability optimization in complex systems. Ann Oper Res 133(1–4):129–148

    Article  MathSciNet  MATH  Google Scholar 

  70. Bertsekas DP (1998) Network optimization: continuous and discrete methods. Athena Scientific, Belmont, Mass

    MATH  Google Scholar 

  71. Misra KB (1991) An algorithm to solve integer programming problems: an efficient tool for reliability design. Microelectron Reliab 31(2–3):285–294

    Article  Google Scholar 

  72. Benyamina D, Hafid A, Gendreau M (2008) Wireless mesh network planning: a multi-objective optimization approach. In: 2008 5th international conference on broadband communications, networks and systems, London, United Kingdom, pp 602–609

    Google Scholar 

  73. Amaldi E, Capone A, Cesana M, Filippini I, Malucelli F (2008) Optimization models and methods for planning wireless mesh networks. Comput Netw 52(11):2159–2171

    Article  MATH  Google Scholar 

  74. Benyamina D, Hafid A, Gendreau M, Maureira JC (2011) On the design of reliable wireless mesh network infrastructure with QoS constraints. Comput Netw 55(8):1631–1647

    Article  Google Scholar 

  75. Coll-Perales B, Gozalvez J, Friderikos V (2016) Energy-efficient opportunistic forwarding in multi-hop cellular networks using device-to-device communications. Trans Emerg Telecommun Technol 27(2):249–265

    Article  Google Scholar 

  76. Kolios P, Friderikos V, Papadaki K (2014) Energy-efficient relaying via store-carry and forward within the cell. IEEE Trans Mob Comput 13(1):202–215

    Article  Google Scholar 

  77. Wang Y, Li H, Li T (2016) Participant selection for data collection through device-to-device communications in mobile sensing. Pers Ubiquit Comput

    Google Scholar 

  78. Fraire J, Finochietto JM (2015) Routing-aware fair contact plan design for predictable delay tolerant networks. Ad Hoc Netw 25:303–313

    Article  Google Scholar 

  79. Fraire JA, Finochietto JM (2015) Design challenges in contact plans for disruption-tolerant satellite networks. IEEE Commun Mag 53(5):163–169

    Article  Google Scholar 

  80. Fraire JA, Madoery PG, Finochietto JM (2014) On the design and analysis of fair contact plans in predictable delay-tolerant networks. IEEE Sens J 14(11):3874–3882

    Article  Google Scholar 

  81. Fraire JA, Madoery PG, Finochietto JM (2016) Traffic-aware contact plan design for disruption-tolerant space sensor networks. Ad Hoc Netw 47:41–52

    Article  Google Scholar 

  82. Zhou D, Sheng M, Wang X, Xu C, Liu R, Li J (2017) Mission aware contact plan design in resource-limited small satellite networks. IEEE Trans Commun 65(6):2451–2466

    Article  Google Scholar 

  83. Li F, Chen S, Huang M, Yin Z, Zhang C, Wang Y (2015) Reliable topology design in time-evolving delay-tolerant networks with unreliable links. IEEE Trans Mob Comput 14(6):1301–1314

    Article  Google Scholar 

  84. Chen H, Shi K (2015) Topology control for predictable delay-tolerant networks based on probability. Ad Hoc Netw 24:147–159

    Article  Google Scholar 

  85. Li F, Yin Z, Tang S, Cheng Y, Wang Y (2016) Optimization problems in throwbox-assisted delay tolerant networks: which throwboxes to activate? how many active ones i need? IEEE Trans Comput 65(5):1663–1670

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their insightful comments.

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Authors and Affiliations

  1. Subir Chowdhury School of Quality and Reliability, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Gaurav Khanna & S. K. Chaturvedi

  2. School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, Australia

    Gaurav Khanna & Sieteng Soh

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  1. Gaurav Khanna
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  2. S. K. Chaturvedi
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  3. Sieteng Soh
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Correspondence to S. K. Chaturvedi .

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Editors and Affiliations

  1. Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India

    Mangey Ram

  2. Department of Industrial and Systems Engineering, Rutgers University, Piscataway, NJ, USA

    Hoang Pham

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Khanna, G., Chaturvedi, S.K., Soh, S. (2020). Time Varying Communication Networks: Modelling, Reliability Evaluation and Optimization. In: Ram, M., Pham, H. (eds) Advances in Reliability Analysis and its Applications. Springer Series in Reliability Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-31375-3_1

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  • DOI: https://doi.org/10.1007/978-3-030-31375-3_1

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