This study investigates the challenges and optimization strategies for humanitarian supply chains with a focus on sustainability issues. The primary aim is to enhance resource allocation, reduce logistics costs, and improve aid delivery effectiveness through quantitative analysis and mathematical modeling. Utilizing time series data, the research employs statistical methods to examine supply stock levels, logistics costs, and aid delivery success rates. Key findings reveal significant trends in resource management and cost efficiency, highlighting the potential of optimization techniques to improve operational performance. The study demonstrates that integrating sustainability into supply chain management frameworks leads to better resource utilization and reduced waste. The results underscore the importance of adopting a holistic approach to address the multifaceted challenges in humanitarian logistics. The study concludes that mathematical models and sustainability frameworks can transform humanitarian supply chain practices, offering actionable insights for enhancing the overall impact of aid delivery.