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September 29, 20250 citationsOpen Access

A Comparative Review of Parallel Exact, Heuristic, Metaheuristic, and Hybrid Optimization Techniques for the Traveling Salesman Problem

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RARabab AlkhalifaFAFatima AlkhomayesBABoushra Almazroua

Key Points

  • The review shows the effectiveness of parallel optimization techniques for the traveling salesman problem, addressing factorial complexity.
  • Evaluation includes exact algorithms and heuristic methods, indicating their varying efficiencies in large-scale instances.
  • Assessment of task-specific metrics aims to enhance cross-paradigm analysis, particularly for hybrid and adaptive solvers.
  • Future directions point to deep learning integration and quantum-inspired algorithms for scalable TSP solutions in real-world applications.

Abstract

The Traveling Salesman Problem (TSP) is a well-known NP-hard combinatorial optimization problem with wide-ranging applications in logistics, routing, and intelligent systems. Due to its factorial complexity, solving large-scale instances requires scalable and efficient algorithmic frameworks, often enabled by parallel computing. This literature review provides a comparative evaluation of parallel TSP optimization methods, including exact algorithms, heuristic-based approaches, hybrid metaheuristics, and machine learning-enhanced models. In addition, we introduce task-specific evaluation metrics to facilitate cross-paradigm analysis, particularly for hybrid and adaptive solvers. The review concludes by identifying research gaps and outlining future directions, including deep learning integration, exploring quantum-inspired algorithms, and establishing reproducible evaluation frameworks to support scalable and adaptive TSP optimization in real-world scenarios.

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Cite This Study

Alkhalifa et al. (2025) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd10ff8https://doi.org/10.48550/arxiv.2505.18278
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