A Flow-Based Formulation of the Travelling Salesman Problem with Penalties on Nodes
Artykuł w czasopiśmie
MNiSW
100
Lista 2023
Status: | |
Autorzy: | Kowalik Przemysław, Sobecki Grzegorz, Bawoł Piotr, Muzolf Paweł |
Dyscypliny: | |
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Rok wydania: | 2023 |
Wersja dokumentu: | Elektroniczna |
Język: | angielski |
Numer czasopisma: | 5 |
Wolumen/Tom: | 15 |
Numer artykułu: | 4330 |
Strony: | 1 - 28 |
Impact Factor: | 3,3 |
Web of Science® Times Cited: | 1 |
Scopus® Cytowania: | 1 |
Bazy: | Web of Science | Scopus | Google Scholar |
Efekt badań statutowych | NIE |
Materiał konferencyjny: | NIE |
Publikacja OA: | TAK |
Licencja: | |
Sposób udostępnienia: | Witryna wydawcy |
Wersja tekstu: | Ostateczna wersja opublikowana |
Czas opublikowania: | W momencie opublikowania |
Data opublikowania w OA: | 28 lutego 2023 |
Abstrakty: | angielski |
The travelling salesman problem (TSP) is one of combinatorial optimization problems of huge importance to practical applications. However, the TSP in its “pure” form may lack some essential issues for a decision maker—e.g., time-dependent travelling conditions. Among those shortcomings, there is also a lack of possibility of not visiting some nodes in the network—e.g., thanks to the existence of some more cost-efficient means of transportation. In this article, an extension of the TSP in which some nodes can be skipped at the cost of penalties for skipping those nodes is presented under a new name and in a new mathematical formulation. Such an extension can be applied as a model for transportation cost reduction due to the possibility of outsourcing deliveries to some nodes in a TSP route. An integer linear programming formulation of such a problem based on the Gavish–Graves-flow-based TSP formulation is introduced. This formulation makes it possible to solve the considered problem by using any integer linear programming optimization software. Numerical examples and opportunities for further research are presented. |