Optimization of Campus Shuttle Routes Using Graph Theory: A Case Study of University of Jos (Jos North LGA, Plateau State)
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Background of the Study
Transportation on university campuses, especially large ones like the University of Jos, located in Jos North LGA, Plateau State, poses several challenges. As student populations grow, the demand for efficient and timely shuttle services increases, with campus shuttle routes often struggling to meet the needs of both students and staff. Students face delays, overcrowded buses, and inefficient routes, while the university management seeks to optimize resources to ensure that transportation systems run smoothly.
Graph theory provides a framework for analyzing and optimizing networks, making it ideal for solving transportation problems. In the context of university campuses, graph theory can be applied to model shuttle routes as a network of nodes (shuttle stops) and edges (shuttle routes). Optimization algorithms can then be used to minimize wait times, reduce fuel consumption, and ensure that shuttle services meet the demand in the most efficient manner.
Statement of the Problem
Currently, the shuttle service at the University of Jos does not effectively optimize routes, resulting in delays, high operational costs, and unsatisfied students and staff. A solution that utilizes graph theory and optimization algorithms is needed to enhance the efficiency of shuttle services, reduce congestion, and ensure that resources are utilized effectively.
Objectives of the Study
1. To design an optimized campus shuttle route system using graph theory.
2. To evaluate the effectiveness of the optimized shuttle routes in reducing travel time and operational costs.
3. To recommend strategies for implementing the optimized shuttle system at the University of Jos.
Research Questions
1. How can graph theory be applied to optimize campus shuttle routes at the University of Jos?
2. How effective are the optimized shuttle routes in reducing travel time and operational costs?
3. What challenges would the University of Jos face in implementing the optimized shuttle routes?
Research Hypotheses
1. The use of graph theory will optimize campus shuttle routes, reducing travel time and operational costs at the University of Jos.
2. The optimized shuttle routes will increase the efficiency of the campus transportation system.
3. The implementation of the optimized shuttle system will improve student and staff satisfaction with transportation services.
Significance of the Study
This study will provide valuable insights into the application of graph theory in optimizing campus shuttle systems, offering a practical solution to transportation challenges at the University of Jos. The findings will assist in improving the efficiency of shuttle routes, reducing congestion, and enhancing the overall campus experience for students and staff.
Scope and Limitations of the Study
The study will focus on the optimization of campus shuttle routes at the University of Jos, located in Jos North LGA, Plateau State. It will be limited to the shuttle services within the university’s main campus and will not cover off-campus shuttle services or transportation to satellite campuses.
Definitions of Terms
• Graph Theory: A field of mathematics that studies graphs, which are structures consisting of nodes (vertices) connected by edges (links).
• Optimization: The process of making something as effective or functional as possible, such as minimizing travel time or operational costs.
• Shuttle Route: A designated path or network that shuttle buses follow to transport people between different locations on a campus.
• Operational Costs: The ongoing expenses related to the functioning of the shuttle service, including fuel, maintenance, and labor.
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