Optimal route planning for multi-level multi-choice transportation problem with uncertain parameters using Lagrange’s interpolating polynomial
*Vishwas Deep JoshiCorresponding authorvdjoshi.or@gmail.comDepartment of MathematicsFaculty of ScienceJECRC UniversityJaipur, Rajasthan, 303905, India0000-0001-8134-0282View full profile → , Medha Sharmamedhasharma1997@gmail.comDepartment of MathematicsFaculty of ScienceJECRC UniversityJaipur, Rajasthan, 303905, India0009-0004-9503-6686View full profile → , Reem K. Alhefthiraseeri@ksu.edu.saDepartment of MathematicsCollege of SciencesKing Saud UniversityRiyadh, P. O. Box 2455, 11451, Saudi ArabiaView full profile → , Mahesh Purohitmaheshpurohit94@gmail.comDepartment of MathematicsGovind Guru Tribal UniversityBanswara, Rajasthan, 327001, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 11 Sep 2024
- Published Online:
- 05 Apr 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1794
- Pages:
- 761–766
Abstract
Keywords
Subject Classifications
References
[1] F. Hitchcock, “The distribution of a product from several sources to numerous localities,” J. Math. Phys., vol. 20, pp. 224–230 (1941).
[2] K. Lachhwani, “Modified FGP approach for multi-level multi-objective linear fractional programming problems,” Appl. Math. Comput., vol. 266, pp. 1038–1049 (2015).
[3] S. K. Roy, “Lagrange’s interpolating polynomial approach to solve multi-choice transportation problem,” Int. J. Appl. Comput. Math., vol. 1, pp. 639–649 (2015).
[4] V. D. Joshi, K. Lachhwani, J. Singh, and K. S. Nisar, “Alternate solution approach for multi-level multi-objective linear fractional programming problems,” J. Interdiscip. Math., vol. 25, no. 1, pp. 183–194 (2022).
[5] M. P. Biswal and S. Acharya, “Multi-choice multi-objective linear programming problem,” J. Interdiscip. Math., vol. 12, no. 5, pp. 606–637 (2009).
[6] V. D. Joshi, S. S. Naharwar, J. Singh, and K. S. Nisar, “A new solution procedure for multi-objective linear fractional transportation problem with rough parameters,” J. Interdiscip. Math., vol. 26, no. 1, pp. 121–132 (2023).
[7] V. D. Joshi, S. S. Naharwar, J. Singh, and K. S. Nisar, “An improved solution approach for solving multi-objective linear and linear fractional transportation problem,” J. Interdiscip. Math., vol. 26, no. 1, pp. 133–143 (2023).
[8] S. A. Jalil, S. Javaid, and S. M. Muneeb, “A decentralized multi-level decision-making model for solid transportation problem with uncertainty,” Int. J. Syst. Assur. Eng. Manag., vol. 9, pp. 1022–1033 (2018).




