Pengembangan Model Optimasi Tangguh Time-Dependent Travel Times Vehicle Routing Problem

Penulis

DOI:

https://doi.org/10.22441/pasti.2025.v19i3.004

Kata Kunci:

logistik perkotaan, vehicle routing problem, time-dependent, optimasi tangguh

Abstrak

Peningkatan laju urbanisasi dan perkembangan teknologi internet membuat permintaan kegiatan pengangkutan barang di kota besar semakin banyak. Hal ini menyebabkan berbagai permasalahan di kota, salah satunya yaitu kemacetan lalu lintas. Permasalahan-permasalahan ini mendorong munculnya konsep logistik perkotaan. Model vehicle routing problem (VRP) merupakan model utama untuk mengatasi permasalahan operasional distribusi barang. Salah satu cara untuk mengurangi kemacetan adalah membatasi pengantaran barang di jam-jam sibuk. Varian dari VRP yang dapat mengakomodasi ini adalah time-dependent vehicle routing problem (TDVRP) yang mempertimbangkan variasi dari waktu tempuh sepanjang hari dengan membagi jam per hari menjadi beberapa interval waktu sehingga waktu tempuh kendaraan disuatu interval waktu berbeda dengan interval waktu yang lainnya. Penelitian ini mengembangkan model TDVRP yang mengakomodasi ketidakpastian pada waktu tempuh dengan menggunakan pendekatan optimasi tangguh.  Pengujian model dilakukan dengan bantuan software AMPL. Hasil pengujian menunjukkan bahwa rata-rata total waktu tempuh model tangguh meningkat sekitar 2–3% dibandingkan model deterministik, namun variasi antar skenario sekitar 5%, yang menunjukkan tingkat ketangguhan dan kestabilan hasil yang baik terhadap ketidakpastian. Dengan demikian, model tangguh mampu memberikan solusi yang lebih andal untuk sistem logistik perkotaan.

Unduhan

Data unduhan belum tersedia.

Biografi Penulis

Fran Setiawan, Universitas Katolik Parahyangan

Department of Industrial Engineering

Carles Sitompul, Universitas Katolik Parahyangan

Department of Industrial Engineering

Referensi

Bachofner, M., Lemardelé, C., Estrada, M., & Pagès, L. (2022). City logistics: Challenges and opportunities for technology providers. Journal of urban mobility, 2, 100020.

Braekers, K., Ramaekers, K., & Van Nieuwenhuyse, I. (2016). The vehicle routing problem: State of the art classification and review. Computers & industrial engineering, 99, 300-313.

Cattaruzza, D., Absi, N., Feillet, D., & González-Feliu, J. (2017). Vehicle routing problems for city logistics. EURO Journal on Transportation and Logistics, 6(1), 51-79.

Eufinger, L., Kurtz, J., Buchheim, C., & Clausen, U. (2020). A robust approach to the capacitated vehicle routing problem with uncertain costs. INFORMS Journal on Optimization, 2(2), 79-95.

Fan, H., Zhang, Y., Tian, P., Lv, Y., & Fan, H. (2021). Time-dependent multi-depot green vehicle routing problem with time windows considering temporal-spatial distance. Computers & Operations Research, 129, 105211.

Fontaine, P., Minner, S., & Schiffer, M. (2023). Smart and sustainable city logistics: Design, consolidation, and regulation. European Journal of Operational Research, 307(3), 1071-1084.

Gmira, M., Gendreau, M., Lodi, A., & Potvin, J. Y. (2021). Tabu search for the time-dependent vehicle routing problem with time windows on a road network. European Journal of Operational Research, 288(1), 129-140.

Ivanov, D. (2024). Introduction to supply chain analytics: with examples in AnyLogic and anyLogistix software. Springer Nature: Switzerland.

Koç, Ç., Bektaş, T., & Laporte, G. (2024). Decarbonizing road freight transportation: recent advances and future trends. Journal of the Operational Research Society, 1-21.

Malandraki, C., & Daskin, M. S. (1992). Time dependent vehicle routing problems: Formulations, properties and heuristic algorithms. Transportation science, 26(3), 185-200.

Mor, A., & Speranza, M. G. (2022). Vehicle routing problems over time: a survey. Annals of Operations Research, 314(1), 255-275.

Pan, B., Zhang, Z., & Lim, A. (2021a). A hybrid algorithm for time-dependent vehicle routing problem with time windows. Computers & Operations Research, 128, 105193.

Pan, B., Zhang, Z., & Lim, A. (2021). Multi-trip time-dependent vehicle routing problem with time windows. European Journal of Operational Research, 291(1), 218-231.

Setiawan, F., & Novialdo, K. H. (2021). Heterogeneous vehicle routing problem with vehicle dependent travel time for urban freight transportation. In Proceedings of the Second Asia Pacific International Conference on Industrial Engineering and Operations Management Surakarta. Indonesia (pp. 1732-1743).

Setiawan, F., Tjandra, S. S., & Kurnia, W. (2023). Multiobjective heterogeneous vehicle routing problem with multi-trips in urban logistics context. In AIP Conference Proceedings (Vol. 2485, No. 1, p. 090004). AIP Publishing LLC. https://doi.org/10.1063/5.0105082

Setiawan, F., Bektaş, T., & Iris, Ç. (2025). The role of hubs and economies of scale in network expansion. Omega, 131, 103220.

Snyder, L. V., & Shen, Z. J. M. (2019). Fundamentals of supply chain theory. John Wiley & Sons: Hoboken.

Tan, S. Y., & Yeh, W. C. (2021). The vehicle routing problem: State-of-the-art classification and review. Applied Sciences, 11(21), 10295.

Taniguchi, E., & Thompson, R. G. (Eds.). (2018). City Logistics 1: new opportunities and challenges. ISTE Ltd and John Wiley & Sons: London and Hoboken.

Tseng, Y. Y., Yue, W. L., & Taylor, M. A. (2005). The role of transportation in logistics chain. Eastern Asia Society for Transportation Studies, 1657-1672.

Wang, Y., Wang, Z., Hu, X., Xue, G., & Guan, X. (2022). Truck–drone hybrid routing problem with time-dependent road travel time. Transportation Research Part C: Emerging Technologies, 144, 103901.

Waters, D. (2003). Logistics: an introduction to supply chain management. Palgrave Macmillan: New York.

Wehbi, L., Bektaş, T., & Iris, Ç. (2022). Optimising vehicle and on-foot porter routing in urban logistics. Transportation research part D: transport and environment, 109, 103371.

Wu, D., & Wu, C. (2022). Research on the time-dependent split delivery green vehicle routing problem for fresh agricultural products with multiple time windows. Agriculture, 12(6), 793.

Diterbitkan

2025-12-28

Cara Mengutip

1.
Setiawan F, Sitompul C. Pengembangan Model Optimasi Tangguh Time-Dependent Travel Times Vehicle Routing Problem. Pasti [Internet]. 28 Desember 2025 [dikutip 29 Mei 2026];19(3):338-52. Tersedia pada: https://training-ojs3-publikasi.mercubuana.ac.id/index.php/pasti/article/view/36372

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