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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Basirzadeh, H.: An approach for solving fuzzy transportation problem. Appl. Math. Sci. 5(32), 1549–1566 (2011)
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
Dinagar, D.S., Palanivel, K.: The transportation problem in fuzzy environment. Int. J. Algorithms Comput. Math. 2(3), 65–71 (2009)
Kaliyaperumal, P., Das, A.: A mathematical model for nonlinear optimization which attempts membership functions to address the uncertainties. Mathematics 10(10), 1743 (2022)
Kaur, A., Kumar, A.: A new method for solving fuzzy transportation problems using ranking function. Appl. Math. Model. 35(12), 5652–5661 (2011)
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)
Liu, S.-T., Kao, C.: Solving fuzzy transportation problems based on extension principle. Eur. J. Oper. Res. 153(3), 661–674 (2004)
Louveaux, F.: Stochastic Location Analysis: Location Science 1, 127–154. Location Science (1993)
Mohideen, S.I., Kumar, P.S.: A comparative study on transportation problem in fuzzy environment. Int. J. Math. Res. 2(1), 151–158 (2010)
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)
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)
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)
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)
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)
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)
Ritha, W., Vinotha, J.M.: Multi-objective two stage fuzzy transportation problem (2009)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-031-39774-5_49
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-39773-8
Online ISBN: 978-3-031-39774-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)