On the Method of Solving the Fuzzy Multicriteria Traveling Salesman Problem

The paper studies a fuzzy multi-criteria traveling salesman problem with criteria in the form of distance and travel time along the route. The problem statement is formalized, the concept of a compromise is defined. Two-criteria problems with an additional condition on the order of visiting nodes of the transport network are considered. A new algorithm for solving the resulting problem is proposed. Numerous experiments and a comparison of the obtained solutions with optimal ones for standard single-criteria statements are conducted

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Publication Details

Journal
Artificial Intelligence
Published
2024-12-18
DOI
https://doi.org/10.15407/jai2024.04.142
Primary Topic
Optimization and Mathematical Programming
Type
article
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article

On the Method of Solving the Fuzzy Multicriteria Traveling Salesman Problem

E. V. Іvоhіn, K Yushtin
Artificial Intelligence
Optimization and Mathematical Programming
article

On the Method of Solving the Fuzzy Multicriteria Traveling Salesman Problem

E. V. Іvоhіn, K Yushtin
article en

Abstract

The paper studies a fuzzy multi-criteria traveling salesman problem with criteria in the form of distance and travel time along the route. The problem statement is formalized, the concept of a compromise is defined. Two-criteria problems with an additional condition on the order of visiting nodes of the transport network are considered. A new algorithm for solving the resulting problem is proposed. Numerous experiments and a comparison of the obtained solutions with optimal ones for standard single-criteria statements are conducted

Artificial IntelligenceVol. 29(AI.2024.29(4))
Openalex Percentile: Top 72%
Optimization and Mathematical Programming
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On the Method of Solving the Fuzzy Multicriteria Traveling Salesman Problem — E. V. Іvоhіn, K Yushtin · Artificial Intelligence (2024) | TGRS Research Map | TGRS