Graph Theory in Daily Life: Using Small-Scale Graphs to Optimize School Bus Routing

November 18, 2015Open Access

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Key Points

This research aims to utilize graph theory to optimize school bus routing, addressing the transportation challenges faced by urban districts.
Application of graph theory to model bus routing as a network of vertices and edges.
Use of heuristic algorithms including tabu search and branch-and-bound methods to find optimal routes.
GIS integration to enhance the routing dynamics based on geographical considerations.
Graph-based heuristics significantly reduced total travel time and operational costs for school bus routing.
Successful integration of GIS improved routing viability by accounting for geographical barriers.
Multi-objective optimization balanced safety, vehicle capacity, and adherence to school schedules, leading to enhanced service quality.

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Demonstrates the effectiveness of graph theory in optimizing school bus transportation routes, ensuring efficiency and safety.

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Ningappа К (2015) studied this question.

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