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Asymptotic Diffusion Analysis of a Queueing System MX/G/1 with Collisions and Unreliable Servers in the Process of Communication

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Proceedings of International Conference on Network Security and Blockchain Technology (ICNSBT 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 738))

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Abstract

Given the rapid increase in traffic on the current communications infrastructure, such as the Online World, it is imperative for consumers to understand how these systems are developed swiftly and successfully scheduled to their servers. This study focuses on how we can accomplish this using the queuing theory currently in use. This article also covers current and comprehensive information on the use of queuing techniques in fields including load balancing, mobility management, and improving traffic flows on the current Internet infrastructure. The problem is transformed into a non-Markovian mathematical queuing model, and auxiliary variables are used to solve it. The queuing issue that arises from the aforementioned subsequent outcomes is resolved by the supplemental variable technique. Estimates are made for the throughput, server latency, use, and probability output factors for each operating method. Mathematical software was used to do numerical analysis on specific examples. Because it is used frequently and uses a statistical demarcation method, this tactic is completely acceptable. Exact computations of the seeming limitations are provided by the graphical representation of this perspective.

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References

  1. Asitha KS, Khoo HL (2020) Incentivised travel and mobile application as multiple policy intervention for mode shift. KSCE J Civ Eng 24(10):3074–3091

    Article  Google Scholar 

  2. Ayyappan G, Karpagam S (2018) An M[X]/G (a, b)/1 queueing system with breakdown and repair, stand-by server, multiple vacation and control policy on request for re-service. Mathematics 6(101):1–18

    MATH  Google Scholar 

  3. Bwambale A, Choudhury CF, Hess S, Iqbal MS (2020) Getting the best of both worlds: a framework for combining disaggregate travel survey data and aggregate mobile phone data for trip generation modelling. Transportation 48(5):2287–2314

    Article  Google Scholar 

  4. Ghahramani M, Zhou M, Wang G (2020) Urban sensing based on mobile phone data: approaches, applications, and challenges. IEEE/CAA J Automatica Sinica 7(3):627–637

    Article  Google Scholar 

  5. Ghose A, Kwon HE, Lee D, Oh W (2019) Seizing the commuting moment: contextual targeting based on mobile transportation apps. Inf Syst Res 30(1):154–174

    Article  Google Scholar 

  6. Gillis D, Gautama S, Van Gheluwe C, Semanjski I, Lopez AJ, Lauwers D (2020) Measuring delays for bicycles at signalized intersections using smartphone GPS tracking data. ISPRS Int J Geo Inf 9(3):174

    Article  Google Scholar 

  7. Szyjewski G, Fabisiak L (2018) A study on existing and actually used capabilities of mobile phones technologies. Procedia Comput Sci 126:1627–1636

    Article  Google Scholar 

  8. Kim H, Sohn D (2020) e urban built environment and the mobility of people with visual impairments: analysing the travel behaviours based on mobile phone data. J Asian Architect Build Eng 19(6):731–741

    Article  Google Scholar 

  9. Linton H, Kwortnik RJ (2019) Mobile usage in travel: bridging the supplier-user gap. Int J Contemp Hosp Manag 31(2):771–789

    Article  Google Scholar 

  10. Maragathasundari S (2018) An examination on queuing system of general service distribution with an establishment time and second discretionary administration. Int J Appl Comput Math 4(3):1–12

    Article  MathSciNet  MATH  Google Scholar 

  11. Maragathasundari S (2018) Dhanalakshmi: Mobile adhoc networks problem a queueing approach. Int J Commun Netw Distrib Syst 21(4):475–495

    MathSciNet  Google Scholar 

  12. Maragathasundari S, Manikandan P (2020) A study on the performance measures of the non-Markovian model of optional types of service with extended vacation, reneging process and service interruption followed by phases of repair. Int J Process Manage Benchmarking 10(4):520–249

    Article  Google Scholar 

  13. Maragathasundari S, Joy MC (2017) Queueing model of optional type of services with service stoppage and revamp process in web hosting. Int J Knowl Manage Tourism Hospitality 1(2)

    Google Scholar 

  14. Maragathasundari S, Radha S (2019) A study on the investigation of mathematical modelling in non-Markovian queue. AIP Conf Proc 2177:20042–20049. https://doi.org/10.1063/1.5135217

    Article  Google Scholar 

  15. Maragathasundari S, Srinivasan S (2017) Analysis of non-Markovian batch arrival queueing model with multi stages of service of restricted admissibility, feedback service and three optional vacations in production and manufacturing. Int J Math Oper Res 11(3):285–309

    Article  MathSciNet  MATH  Google Scholar 

  16. Maragathasundari S, Vanalakshmi R, Somasundaram RS (2020) A study on the concept of restricted admissibility of customers in non-Markovian queues. J Crit Rev 7(19):5006–5011

    Google Scholar 

  17. Alkhazaali NH, Aljiznawi RA, Jabbar SQ, Kadhim DJ (2017) Mobile communication through 5G technology (challenges and requirements). Int J Commun Netw Syst Sci 10(5B):1–5

    Google Scholar 

  18. Liu P, Jiang T, Cha X (2020) Performance analysis of queueing systems with a particular service interruption discipline. Discrete Dyn Nat Soc 1:13. Article ID 1847512

    Google Scholar 

  19. Rama Devi VN, Rao A, Chandan K (2019) Analysis of a M/M/1 queueing system with two-phase, N-policy, server failure and second optional batch service with customers impatient behaviour. IOP Conf Ser J Phys 1344(012015):1–10

    Google Scholar 

  20. Srinivas Chakravarthy R (2020) Shruti, Rakhee Kulshrestha: a queueing model with server breakdowns, repairs, vacations and backup server. Oper Res Perspect 7(100131):1–13

    Google Scholar 

  21. Vanalakshmi R, Maragathasundari S, Dhanalakshmi KS (2021) Queuing system in VLSI physical design. Math Comput Simul 201:755–768

    Article  MathSciNet  MATH  Google Scholar 

  22. Vanalakshmi R, Maragathasundari S, Kishore Eswar S (2021) Queuing system behaviour in thermo pack process. J Phys Conf Ser 1850(012047):1–13

    Google Scholar 

  23. Xu Y, Li J, Xue J, Park S, Li Q (2021) Tourism geography through the lens of time use: a computational framework using fine-grained mobile phone data. Ann Assoc Am Geogr 111(5):1–25

    Google Scholar 

  24. Zhang H, Chen J, Li W, Song X, Shibasaki R (2020) Mobile phone GPS data in urban ride-sharing: an assessment method for emission reduction potential. Appl Energ 269:115038–115048

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Kalasalingam Academy of Research and Education, Chennai, Tamilnadu, 626126, India

    R. Vanalakshmi, S. Maragathasundari & M. Kameswari

  2. Velammal Institute of Technology, Chennai, Tamilnadu, 601204, India

    B. Balamurugan

  3. Vaigai College of Engineering, Madurai, Tamilnadu, 625122, India

    C. Swedheetha

Authors
  1. R. Vanalakshmi
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  2. S. Maragathasundari
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  3. B. Balamurugan
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  4. M. Kameswari
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  5. C. Swedheetha
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Corresponding author

Correspondence to S. Maragathasundari .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Kalyani University, Kalyani, West Bengal, India

    Jyotsna Kumar Mandal

  2. Department of Computer Science, Vidyasagar University, Midnapore, West Bengal, India

    Biswapati Jana

  3. Department of Information Management, Chaoyang University of Technology, Taichung, Taiwan

    Tzu-Chuen Lu

  4. Department of Computer Science and Engineering, Maulana Abul Kalam Azad University of Technology, Kolkata, West Bengal, India

    Debashis De

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Vanalakshmi, R., Maragathasundari, S., Balamurugan, B., Kameswari, M., Swedheetha, C. (2024). Asymptotic Diffusion Analysis of a Queueing System MX/G/1 with Collisions and Unreliable Servers in the Process of Communication. In: Mandal, J.K., Jana, B., Lu, TC., De, D. (eds) Proceedings of International Conference on Network Security and Blockchain Technology. ICNSBT 2023. Lecture Notes in Networks and Systems, vol 738. Springer, Singapore. https://doi.org/10.1007/978-981-99-4433-0_24

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  • DOI: https://doi.org/10.1007/978-981-99-4433-0_24

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-4432-3

  • Online ISBN: 978-981-99-4433-0

  • eBook Packages: EngineeringEngineering (R0)

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