@article{Joshi2024, 
author = {Vishwas Deep Joshi and Medha Sharma and Huda Alsaud},
title = {Solving a multi-choice solid fractional multi objective transportation problem: involving the Newton divided difference interpolation approach},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16031-16060},
keywords = {solid fractional transportation problem, Newton divided difference, multi-choice random parameter, goal programming, ranking, multi-objective programming},
url = {https://www.sciopen.com/article/10.3934/math.2024777},
doi = {10.3934/math.2024777},
abstract = {Multi-objective transportation problems (MOTPs) are mathematical optimization problems that involve simultaneously considering multiple, often conflicting objectives in transportation planning. Unlike traditional transportation problems, which typically focus on minimizing a single objective such as cost or distance, MOTPs aim to balance multiple objectives to find the optimal solution. These problems appear in various real-world applications such as logistics, supply chain management, and transportation, where decision-makers need to consider multiple criteria when designing transportation networks, routing vehicles, or scheduling deliveries. The primary challenge lies in the uncertainty in real-world transportation scenarios, where logistics involve factors beyond cost and distance. We investigated a multi-choice solid fractional multi-objective transportation problem (MCSF-MOTP) based on supply, demand, and conveyance capacity, where the coefficients of the objective functions were of the multi-choice type due to uncertainty. To address this uncertainty, the proposed model employed the Newton divided difference interpolation polynomial method, and the suitability of this model was validated through a numerical illustration employing a ranking approach.}
}