Navigating uncertainties using type Ⅰ sensitivity analysis for transportation problems: A mid-width technique with crisp and fuzzy scenarios

The COVID-19 pandemic highlighted the critical need for efficient vaccine distribution. This research study introduces a novel transportation model that leverages a mid-width Type 1 sensitivity analysis to optimize vaccine shipping from factories to diverse destinations. By incorporating crisp and fuzzy scenarios and considering interval transportation problems, our model provides valuable insights for minimizing shipping costs and enhancing the resilience of vaccine distribution networks. Moreover, the study employing a case study in pharmaceutical logistics, our study stands out for its unique applicability to diverse methods (interval transportation problem, mid-value, half-width) demonstrates the model's versatility and its ability to achieve superior optimal solutions with enhanced cost-sensitivity efficiency.