Propuesta de un modelo de optimización con múltiples productos y trasbordos bajo un ambiente de incertidumbre

Abstract

In conventional transportation systems, we have worked with parameters such as costs, transportation times or capacities with fixed and well-defined values. However, when the data is imprecise, fuzzy numbers are used to represent the uncertainty generated by not having an exact value. Fuzzy numbers allow us to model scenarios in which the variables cannot be determined exactly, being a little more realistic and accurate to what transportation systems actually are. Extending to multiple products involves modeling goods with different demands, costs, or supply in the market. Additionally, transshipments introduce intermediate nodes into the transportation network, providing an additional level of reach for shipping products to destinations that are not easily accessible.The present work aims to create a fuzzy mathematical model that encompasses these two additional conditions, defining the objective functions, constraints and parameters that reflect the uncertainty within the system. Solution algorithms are developed based on existing literature, which combine methods such as fuzzy linear programming or algorithms, to find optimal or efficient solutions under conditions of uncertainty. The goal is to provide a useful and effective tool to solve transportation problems in real scenarios.