Mathematical Model Approaches for Train Assignment Problem on Ankara – Istanbul High-Speed Train Line

Yıl 2024, , 1 - 10, 31.07.2024

Enver Kerem Kaya , Melike Sönmez , Emine Akyol Özer

https://doi.org/10.47072/demiryolu.1395761

Öz

In the railway sector, planners responsible for operations must efficiently and effectively manage train services between routes. Addressing this problem, this study proposes two binary mathematical programming models to assist railway companies in optimizing their operational processes. The objective of the first model is to allocate trains between two lines in a way that minimizes the total energy consumption among trains with different energy profiles. The second model aims to execute services on the route with the minimum number of trains. The proposed models were coded in the GAMS software and solved using the Cplex solver. To test the performance of the suggested solution approaches, it was conducted using high-speed train services data between Ankara and Istanbul. The obtained results were analyzed based on decision-makers' preferences.

Anahtar Kelimeler

Train assignment, Train Scheduling, Railroad systems, Mathematical modelling, Energy-efficient scheduling

Ankara – İstanbul YHT Hattındaki Tren Atama Problemi için Matematiksel Model Yaklaşımları

Öz

Demiryolu sektöründe görev yapan planlamacılar, güzergahlar arasında yapılacak seferleri en verimli ve etkili şekilde yönetmek zorundadır. Bu çalışmada, demiryolu şirketlerinin operasyonel süreçlerini optimize etmelerine yardımcı olacak iki 0-1 tamsayılı matematiksel programlama modeli önerilmiştir. İlk modelin amacı, iki hat arasında yapılacak seferlere, farklı enerji tüketimine sahip trenler arasından toplam enerji tüketimini en küçükleyecek şekilde tren atamasını sağlamaktır. İkinci model ise, bu hattaki seferleri minimum sayıda trenle gerçekleştirmeyi amaçlamaktadır. Önerilen modeller, GAMS yazılımında kodlanmış ve Cplex çözücüsü kullanılmıştır. Ankara-İstanbul arasındaki yüksek hızlı tren seferleri ile ilgili veriler kullanılarak, önerilen çözüm yaklaşımlarının performansı test edilmiştir. Elde edilen sonuçlar karar vericilerin tercihlerine göre analiz edilmiştir.

Anahtar Kelimeler

Tren atama, Tren Çizelgeleme, Raylı sistemler, Matematiksel modelleme, Enerji-etkin çizelgeleme.

Kaynakça

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