A variable neighbourhood descent algorithm with tabu mechanism for the time-constrained family travelling salesman problem

Yıl 2030,

Beyza Günesen Akansu

Öz

In this study, the Family Travelling Salesman Problem is considered and time constraints are included in the model to better represent real-life applications. The mathematical model for the proposed problem has been adjusted as necessary and a metaheuristic method has been developed in order to achieve good solutions in shorter times. The method is a Variable Neighbour Descent algorithm using four different neighbourhood structures and a tabu list is added to the algorithm to be used in some neighbourhood movements to make the solution space search more efficient. The perturbation operator also diversifies the search by making large changes on the solution. The proposed algorithm was compared with the mathematical model results and performed better on the sample sets used.

Anahtar Kelimeler

Family travelling salesman problem , variable neighbourhood descent , travelling salesman problem

Süre kısıtlı aile gezgin satıcı problemi için tabu mekanizmalı değişken komşu iniş algoritması

Öz

Bu çalışmada, Aile Gezgin Satıcı Problemi ele alınmış ve gerçek yaşam uygulamalarını daha doğru yansıtabilmek için modele zaman kısıtları dahil edilmiştir. Önerilen problemin matematiksel modeli gerektiği şekilde uyarlanmış ve daha kısa sürelerde iyi çözümler elde edebilmek amacıyla bir meta-sezgisel yöntem geliştirilmiştir. Bu yöntem, dört farklı komşuluk yapısı kullanan ve bazı komşuluk hareketlerinde tabu listesi eklenerek çözüm uzayının daha verimli taranmasını sağlayan Değişken Komşu İniş algoritmasıdır. Ayrıca, çözüm üzerinde büyük değişiklikler yaparak aramayı çeşitlendiren bir pertürbasyon operatörü de uygulanmıştır. Önerilen algoritma, matematiksel modelin sonuçlarıyla karşılaştırılmış ve kullanılan örnek setlerinde daha iyi performans göstermiştir.

Anahtar Kelimeler

Aile gezgin satıcı problemi , değişken komşu iniş , gezgin satıcı problemi

Kaynakça

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