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Analytical modelling and optimization analysis of large-scale communication systems and networks with repairmen policy

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Abstract

The large-scale communication systems and computer networks provide flexible, efficient, and highly available services to their users. However, the practical large-scale systems result in unpredictable, fault-tolerant, often detrimental outcomes. This leads to developing and designing analytical models to understand and predict of complex system behaviour in order to ensure availability of large-scale systems. In this paper, analytical modelling and optimization analysis are presented for large-scale systems. The key contribution of this paper is twofold. First, a generic approximate solution approach is adapted and developed for performability modelling which considers performance and availability issues of large number of nodes with multi-repairmen. The analytical model and solution presented here are capable of considering large number of nodes up to thousands and able to incorporate availability issues of the system. Second and foremost, the relationship between the number of nodes and the number of repairmen is presented with an optimization analysis for large-scale systems. In order to show the efficacy and the accuracy of the proposed approach, the results obtained from the analytical model is validated with the results obtained from the simulations.

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References

  1. Liang M, Gang Z, Dongxia W, Minhuan H, Xiang L, Qing M, Fei X (2015) A novel method for survivability test based on end nodes in large scale network. KSII Trans Internet Inf Syst 9(2):620–636

    Article  Google Scholar 

  2. Maleki RE, Trivedi K, Movaghar A (2015) Performability evaluation of grid environments using stochastic reward nets. Trans. Depend. Secure Comput. 12(2):204–216

    Article  Google Scholar 

  3. Shawky D (2014) Scalable approach to failure analysis of high-performance computing systems. ETRI J 36(6):1023–1031

    Article  Google Scholar 

  4. Kim J, Ahn H, Park M, Kim S, Kim KP (2016) An estimated closeness centrality ranking algorithm and its performance analysis in large-scale workflow-supported social networks. KSII Trans Internet Inf Syst 10(3):1454–1466

    Google Scholar 

  5. Sanei H (2006) Approximate solution for 2-dimensional Markov processes modelling multi-server systems prone to breakdowns. Ph.D. thesis, School of Computing Science, Middlesex University London, UK

  6. Dabrowski C, Fern H (2009) Markov chain analysis for large-scale grid systems. NIST Internal Report 7566

  7. Balter MH, Osogami T, Wolf AS, Wierman A (2005) Multi-server queueing systems with multiple priority classes. Queuing Syst 51:331–360

    Article  MathSciNet  MATH  Google Scholar 

  8. Chakka R, Gemikonakli O, Basappa,P (2002) Modelling multi-server systems with time or operation dependent breakdowns, alternate repair strategies, reconfiguration and rebooting delays. In: SPECTS, pp 266–277

  9. Quanqing X, Aung KMM, Zhu Y, Yong KL (2016) Building a large-scale object-based active storage platform for data analytics in the internet of things. J Supercomput 72:2796–2814

    Article  Google Scholar 

  10. Vilaplana J, Solsona F, Teixid I, Mateo J, Abella F, Rius J (2014) A queuing theory model for cloud computing. J Supercomput 69(1):492–507

    Article  Google Scholar 

  11. Cao J, Hwang K, Li K, Zomaya AY (2013) Optimal multi-server configuration for profit maximization in cloud computing. IEEE Trans Parallel Distrib Syst 24(6):1087–1096

    Article  Google Scholar 

  12. Rezende C, Boukerche A, Pazzi RW, Bruno PS (2011) The impact of mobility on mobile ad hoc networks through the perspective of complex networks. J Parallel Distrib Comput 71(9):1189–1200

    Article  Google Scholar 

  13. Ever E, Gemikonakli O, Kocyigit A, Gemikonakli E (2013) A hybrid approach to minimize state space explosion problem for the solution of two stage tandem queues. J Netw Comput Appl 36(2):908–926

    Article  MATH  Google Scholar 

  14. Ever E (2014) Fault tolerant two stage open queuing systems with server failures at both stages. IEEE Commun Lett 18:1523–1526

    Article  Google Scholar 

  15. Banks J, Carson J, Nelson B (2000) Discrete-event system simulation. Prentice Hall, Englewood Cliffs

    Google Scholar 

  16. Mitrani I, Chakka R (1995) Spectral expansion solution for a class of markov models: application and comparison with the matrix–geometric method. Perform Eval 23(3):241–260

    Article  MATH  Google Scholar 

  17. Bruneo D (2014) A stochastic model to investigate data center performance and qos in iaas cloud computing systems. IEEE Trans Parallel Distrib Syst 25(3):560–569

    Article  Google Scholar 

  18. Boldrini C, Conti M, Passarella A (2014) Performance modelling of opportunistic forwarding under heterogeneous mobility. Comput Commun 48:56–70

    Article  Google Scholar 

  19. Tschaikowski M, Tribastone M (2014) Tackling continuous state space explosion in a Markovian process algebra. Theoret Comput Sci 517:1–33

    Article  MathSciNet  MATH  Google Scholar 

  20. Schroeder B, Gibson G (2010) A large-scale study of failures in high performance computing systems. IEEE Trans Depend Secure Comput 7(4):337–350

    Article  Google Scholar 

  21. Wang L, Zhou F, Guo C, Zhang X, Yang M (2009) A capacity optimization algorithm for network survivability enhancement. In: IEEE international conference on multimedia information networking and security, pp 177–181

  22. Chakka R (1995) Performance and reliability modelling of computing systems using spectral expansion. Ph.D. thesis, University of Newcastle, Upon Tyne, UK

  23. Sahoo RK, Sivasubramaniam A, Squillante MS, Zhang Y (2004) Failure data analysis of a large-scale heterogeneous server environment. In: International conference on dependable systems and networks, pp 772–781

  24. Schwarz T, Baker M, Bassi S, Baumgart B, Flagg W, Ingen CV, Joste K, Manasse M, Shah M (2006) Disk failure investigations at the internet archive. In: IEEE conference on mass storage systems and technologies

  25. Ever YK, Kirsal Y, Ever E, Gemikonakli O (2015) Analytical modelling and performability evaluation of multi-channel WLANs with global failures. Int J Comput Commun Control 10(10):551–566

    Article  Google Scholar 

  26. Zhang S, Huang N, Sun X, Zhang Y (2016) A hierarchical model for mobile ad hoc network performability assessment. KSII Trans Internet Inf Syst 10(8):3602–3620

    Google Scholar 

  27. Ever E, Kirsal Y, Gemikonakli O (2009) Performability modelling of handoff in wireless cellular networks and the exact solution of system models with service rates dependent on numbers of originating and handoff calls. In: IEEE proceedings of international conference on computational intelligence, modelling and simulation, pp 282–287

  28. Ever E (2016) Performability analysis of cloud computing centers with large numbers of servers. J Supercomput 73:2130–2156

    Article  Google Scholar 

  29. Smith R, Trivedi K, Ramesh A (1988) Performability analysis: measures, an algorithm, and a case study. IEEE Trans Comput 37(4):406–417

    Article  Google Scholar 

  30. Haverkort BR (2001) Performability modelling: techniques and tools. Wiley, London

    MATH  Google Scholar 

  31. Amazon Elastic Compute Cloud, User Guide, API Version ed., Amazon Web Service LLC or its affiliate. http://aws.amazon.com/documentation/ec2 (2010)

  32. Papadopoulos PM (2011) Extending clusters to Amazon EC2 using the Rocks toolkit. Int J High Perform Comput Appl 25(3):317–327

    Article  Google Scholar 

  33. Academic (UB-HPC) Compute Cluster Hardware Specs, The University of Buffalo. https://www.buffalo.edu/ccr/support/research_facilities/general_compute/cluster_hardware_specs.html

  34. Shin Yang Woo, Moon Dug Hee (2014) Approximation of throughput in tandem queues with multiple servers and blocking. Appl Math Model 38(24):6122–6132

    Article  MathSciNet  Google Scholar 

  35. Kirsal Y, Ever E, Kocyigit A, Gemikonakli O, Mapp G (2015) Modeling and analysis of vertical handover in highly mobile environments. J Supercomput 71:4352–4380

    Article  Google Scholar 

  36. Melikov AZ, Ponomarenko LA, Rustamov AM (2016) Hierarchical space merging algorithm for the analysis of open tandem queueing networks. Cybern Syst Anal 52(6):867–877

    Article  MATH  Google Scholar 

  37. Ma Y, Han J, Trivedi KS (2001) Composite performance and availability analysis of wireless communication networks. IEEE Trans Veh Technol 50(5):1216–1223

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Electrical and Electronics Engineering Department, European University of Lefke, Gemikonağı– Lefke, North Cyprus, Mersin 10, Turkey

    Yonal Kirsal

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  1. Yonal Kirsal
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Correspondence to Yonal Kirsal.

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Kirsal, Y. Analytical modelling and optimization analysis of large-scale communication systems and networks with repairmen policy. Computing 100, 503–527 (2018). https://doi.org/10.1007/s00607-017-0580-7

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  • DOI: https://doi.org/10.1007/s00607-017-0580-7

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