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A Comparative Performance Analysis of Computational Intelligence Techniques to Solve the Asymmetric Travelling
Julius Beneoluchi Odili1, A Noraziah2,3, M Zarina4
1Department of Mathematical Sciences, Anchor University Lagos, Lagos, Nigeria.
The African Buffalo Optimization (ABO) algorithm slightly outperformed other metaheuristics in solving the asymmetric Travelling Salesman Problem (ATSP). ABO achieved optimal results faster than Improved Extremal Optimization, Max-Min Ant System, and others.
Area of Science:
- Operations Research
- Computer Science
- Artificial Intelligence
Background:
- The asymmetric Travelling Salesman Problem (ATSP) is prevalent in real-world applications but under-researched compared to its symmetric counterpart.
- Existing metaheuristics show varied performance on ATSP instances.
Purpose of the Study:
- To conduct a comparative performance analysis of six metaheuristics for solving the ATSP.
- To evaluate the effectiveness of African Buffalo Optimization (ABO) against other leading algorithms.
Main Methods:
- Comparative analysis of African Buffalo Optimization (ABO), Improved Extremal Optimization (IEO), Model-Induced Max-Min Ant Colony Optimization (MIMM-ACO), Max-Min Ant System (MMAS), Cooperative Genetic Ant System (CGAS), and Randomized Insertion Algorithm (RAI).
- Experiments were conducted on 15 ATSP instances from TSPLIB.
- Algorithms employed distinct search schemes: ABO (Karp-Steele mechanism), MIMM-ACO (path construction with patching), CGAS (natural selection/ordering), RAI (random insertion), IEO (grid search).
Main Results:
- The African Buffalo Optimization (ABO) algorithm demonstrated slightly superior performance.
- ABO achieved optimal results more consistently and at a significantly faster speed compared to the other evaluated algorithms.
- All tested algorithms were applied to challenging ATSP instances.
Conclusions:
- The African Buffalo Optimization (ABO) algorithm is a highly effective metaheuristic for solving the asymmetric Travelling Salesman Problem (ATSP).
- ABO offers a promising approach for tackling complex, real-world optimization problems due to its speed and accuracy.
- Further research into ATSP is warranted given its practical significance.
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