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Conceptualization of Finite Capacity Single-Server Queuing Model with Triangular, Trapezoidal and Hexagonal Fuzzy Numbers Using α-Cuts

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Numerical Optimization in Engineering and Sciences

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 979))

Abstract

We present a limited extent single-server lining model with triangular, trapezoidal and hexagonal fuzzy numbers separately. The entry rate and overhauled rate are fuzzy in description, and the arithmetic of interval numbers is enforced. The execution proportions are fuzzified and after that assessed by utilizing α-cut and DSW (Dong, Shah and Wong) calculation. Relating to each sort of fuzzy number, the numerical precedent is encapsulated to check the achievability of this miniature. A comparative investigation relative to individual fuzzy numbers is accomplished for various estimations of α.

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References

  1. Li, R.J., Lee, E.S: Analysis of fuzzy queues. Comput. Math. Appl. 17(7), 1143–1147 (1989)

    Google Scholar 

  2. Buckley, J.J.: Elementary queuing theory based on possibility theory. Fuzzy Sets Syst. 37, 43–52 (1990)

    Google Scholar 

  3. Negi, D.S., Lee, E.S.: Analysis and simulation of fuzzy queue. Fuzzy Sets Syst. 46, 321–330 (1992)

    Article  Google Scholar 

  4. Chen, S.P.: Parametric nonlinear programming approach to fuzzy queues with bulk, service. Eur. J. Oper. Res. 163, 434–444 (2005)

    Google Scholar 

  5. Jadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

  6. Gupta, P., Hira, D.S.: Operations Research, 884–885 (2007)

    Google Scholar 

  7. Rose, T.: Fuzzy Logic and Its Applications to Engineering. Wiley Eastern Publishers (2005)

    Google Scholar 

  8. Voskoglou, M.G., Subbotin, I.Y.: An application of the triangular fuzzy model to assessment of analogical reasoning skills. Am. J. Appl. Math. Stat., 3–1, 1–6 (2015)

    Google Scholar 

  9. Subbotin, I.Y.: Trapezoidal Fuzzy Logic Model for Learning Assessment. arXiv:1407.0823[math.gm] (2014)

  10. Zimmermann, H.J: Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst. I, 45–55 (1978)

    Google Scholar 

  11. Yovgav, R.R.: A characterization of the extension principle. Fuzzy Sets Syst. 18, 71–78 (1986)

    MathSciNet  Google Scholar 

  12. Moore, R., Lodwick, W.: Interval analysis and fuzzy set theory. Fuzzy Sets Syst. 135(1), 5–9 (2003)

    Article  MathSciNet  Google Scholar 

  13. Prameela, K.U., Kumar, P.: Execution proportions of multi server queuing model with pentagonal fuzzy number: DSW algorithm approach. Int J Innov. Technol. Explor. Eng. 8(7), 1047–1051 (2019)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Koneru Lakshmaiah Education Foundation (KLEF), Vaddeswaram, Guntur, AP, 522502, India

    K. Usha Prameela & Pavan Kumar

Authors
  1. K. Usha Prameela
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  2. Pavan Kumar
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Correspondence to K. Usha Prameela .

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Editors and Affiliations

  1. National Institute of Technology Warangal, Warangal, Telangana, India

    Debashis Dutta

  2. Indian Institute of Technology Kharagpur, Kharagpur, India

    Biswajit Mahanty

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Prameela, K.U., Kumar, P. (2020). Conceptualization of Finite Capacity Single-Server Queuing Model with Triangular, Trapezoidal and Hexagonal Fuzzy Numbers Using α-Cuts. In: Dutta, D., Mahanty, B. (eds) Numerical Optimization in Engineering and Sciences. Advances in Intelligent Systems and Computing, vol 979. Springer, Singapore. https://doi.org/10.1007/978-981-15-3215-3_19

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  • DOI: https://doi.org/10.1007/978-981-15-3215-3_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-3214-6

  • Online ISBN: 978-981-15-3215-3

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