Abstract
This study explores the utilization of graph theory and optimization methods to improve the effectiveness of emergency response logistics. The study devises and evaluates multiple algorithms with the objective of enhancing the efficiency of emergency routes and resource distributions, showcasing advancements compared to conventional approaches. The findings demonstrate substantial decreases in response times, operational expenses, and improvements in resource utilization rates. This study provides reliable and powerful resources for emergency managers to enhance their ability to strategize and carry out response operations with more efficiency. Furthermore, the models introduced in this work are versatile and may be utilized in different emergency situations to guarantee the most efficient allocation of resources and response times. The results emphasize the practical significance of graph theory in emergency logistics, establishing a solid basis for additional advancement and practical implementation.
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