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Two-Stage Transportation Model for Distributing Relief Aids to the Affected Regions in an Emergency Response Under Uncertainty

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Intelligent and Fuzzy Systems (INFUS 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 758))

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Abstract

Natural disasters have become increasingly frequent, complex, and lengthy, causing devastating effects on people and their belongings. Relief materials aim to save lives, reduce vulnerability, and distribute aid quickly. Despite challenges in distribution, transportation models can reduce costs, time, and other factors. This study proposes a conventional transportation model with two stages to distribute relief aid quickly and efficiently to victims in uncertain scenarios. The model minimizes shipping costs and distributes aid to the least and most affected areas. Fuzzy triangular membership functions are used to redistribute surplus relief items. The model’s effectiveness is demonstrated through numerical illustrations and comparative analysis using conventional and traditional methods. The results are obtained using MATLAB, and the model provides new insights through sensitivity analysis. The proposed transportation model is efficient and effective in distributing relief aid during natural disasters.

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References

  1. Basirzadeh, H.: An approach for solving fuzzy transportation problem. Appl. Math. Sci. 5(32), 1549–1566 (2011)

    MathSciNet  MATH  Google Scholar 

  2. Chandran, S., Kandaswamy, G.: A fuzzy approach to transport optimization problem. Optim. Eng. 17(4), 965–980 (2012). https://doi.org/10.1007/s11081-012-9202-6

    Article  MathSciNet  MATH  Google Scholar 

  3. Dinagar, D.S., Palanivel, K.: The transportation problem in fuzzy environment. Int. J. Algorithms Comput. Math. 2(3), 65–71 (2009)

    MATH  Google Scholar 

  4. Kaliyaperumal, P., Das, A.: A mathematical model for nonlinear optimization which attempts membership functions to address the uncertainties. Mathematics 10(10), 1743 (2022)

    Article  Google Scholar 

  5. Kaur, A., Kumar, A.: A new method for solving fuzzy transportation problems using ranking function. Appl. Math. Model. 35(12), 5652–5661 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  6. Khalifa, H.A.E.-W., Kumar, P., Alharbi, M.G.: On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment. J. Intell. Syst. 30(1), 620–635 (2021)

    Google Scholar 

  7. Liu, S.-T., Kao, C.: Solving fuzzy transportation problems based on extension principle. Eur. J. Oper. Res. 153(3), 661–674 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. Louveaux, F.: Stochastic Location Analysis: Location Science 1, 127–154. Location Science (1993)

    Google Scholar 

  9. Mohideen, S.I., Kumar, P.S.: A comparative study on transportation problem in fuzzy environment. Int. J. Math. Res. 2(1), 151–158 (2010)

    Google Scholar 

  10. Muruganandam, S., Srinivasan, R.: Optimal solution for multi-objective two stage fuzzy transportation problem. Asian J. Res. Soc. Sci. Human. 6(5), 744–752 (2016)

    Google Scholar 

  11. Narayanamoorthy, S., Kalyani, S.: Finding the initial basic feasible solution of a fuzzy transportation problem by a new method. Int. J. Pure Appl. Math. 101(5), 687–692 (2015)

    Google Scholar 

  12. Narayanamoorthy, S., Saranya, S., Maheswari, S.: A method for solving fuzzy transportation problem (FTP) using fuzzy Russell’s method. Int. J. Intell. Syst. Appl. 5(2), 71 (2013)

    Google Scholar 

  13. Pandian, P., Natarajan, G.: A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems. Appl. Math. Sci. 4(2), 79–90 (2010)

    MATH  Google Scholar 

  14. Poonam, S., Abbas, S., Gupta, V.: Fuzzy transportation problem of trapezoidal numbers with cut and ranking technique. Int. J. Fuzzy Math. Syst. 2(3), 263–267 (2012)

    Google Scholar 

  15. Pramanik, S., Jana, D.K., Mondal, S.K., Maiti, M.: A fixed-charge transportation problem in two-stage supply chain network in Gaussian type-2 fuzzy environments. Inf. Sci. 325, 190–214 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  16. Ritha, W., Vinotha, J.M.: Multi-objective two stage fuzzy transportation problem (2009)

    Google Scholar 

  17. Samanta, S., Mondal, S.K., Das, B.: A multi-objective solid transportation problem with discount and two-level fuzzy programming technique. Int. J. Oper. Res. 24(4), 423–440 (2015)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to K. Palanivel .

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Edward, J.L., Palanivel, K. (2023). Two-Stage Transportation Model for Distributing Relief Aids to the Affected Regions in an Emergency Response Under Uncertainty. In: Kahraman, C., Sari, I.U., Oztaysi, B., Cebi, S., Cevik Onar, S., Tolga, A.Ç. (eds) Intelligent and Fuzzy Systems. INFUS 2023. Lecture Notes in Networks and Systems, vol 758. Springer, Cham. https://doi.org/10.1007/978-3-031-39774-5_49

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