Application of Mixed Integer Linear Programming (MILP) Method in Capacity Vehicle Routing Problems in Heterogeneous Fleets (HFCVRP) at Bagol Hydroponics UMKM

  • Ditta Arsyilviasari Universitas Islam Negeri Sumatera Utara
  • Ismail Husein
Keywords: Mixed Integer Linear Progamming (MILP), Heterogeneous Fleet Capacitated Vehicle Routing Problem (HFCVRP), Route Optimization, Distribution efficiency, Hydroponic Bagol UMKM.

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Abstract

Due to variations in vehicle capacity, Bagol Hydroponics UMKM has trouble figuring out cost-effective and distance-efficient product distribution routes. For this reason, this study uses the Mixed Integer Linear Programming (MILP) approach to solve the Heterogeneous Fleet Capacitated Vehicle Routing Problem (HFCVRP). This study is a quantitative applied research project that uses distance data from the Google Maps API to create a mathematical model and the best distribution route using IBM ILOG CPLEX software. The MILP model is designed to decrease the overall distance driven by automobiles while taking sub-trip elimination and vehicle capacity limitations into account. The results demonstrate that the MILP model can provide optimal distribution routes with efficient calculation time and an average distance savings of 1.74% when compared to current routes. Therefore, it has been demonstrated that applying the MILP approach to the HFCVRP problem improves the distribution efficiency of Bagol Hidroponik UMKM products. This can serve as a guide for other UMKM in order to create the most efficient delivery routes.

References

Ahmed, Z. H., & Yousefikhoshbakht, M. (2023a). A Hybrid Algorithm for the Heterogeneous Fixed Fleet Open Vehicle Routing Problem with Time Windows. Symmetry, 15(2).
Ahmed, Z. H., & Yousefikhoshbakht, M. (2023b). An improved tabu search algorithm for solving heterogeneous fixed fleet open vehicle routing problem with time windows. Alexandria Engineering Journal, 64, 349–363.
Ayu, T., & Nahry. (2021). Optimizing the Heterogeneous Fleet Vehicle Routing Problem with Time Window on Urban Last Mile Delivery. IOP Conference Series: Earth and Environmental Science, 830(1).
Baldacci, R., Battarra, M., & Vigo, D. (2008). Routing a Heterogeneous Fleet of Vehicles. In The Vehicle Routing Problem: Latest Advances and New Challenges (pp. 3–27). Springer Science+Business Media, LLC 2008. https://doi.org/10.1007/978-0-387-77778-8
Erdoğan, G. (2017). An open source Spreadsheet Solver for Vehicle Routing Problems. Computers and Operations Research, 84, 62–72.
Kantor I, Robineau J-L, Bütün H and Maréchal F. (2020). A Mixed-Integer Linear Programming Formulation for Optimizing Multi-Scale Material and Energy Integration. Front. Energy Res. 8:49. doi: 10.3389/fenrg.2020.00049
Kristina, et. al. (2020). Penerapan Model Capacitated Vehicle Routing Problem (CVRP) Menggunakan Google OR-Tools Untuk Penentuan Rute Pengantaran Obat Pada Perusahaan Pedagang Besar Farmasi (PBF). Jurnal Telematika. Vol. 15 no. 2.
Küçük, M., & Yildiz, S. T. (2022). Constraint programming-based solution approaches for three-dimensional loading capacitated vehicle routing problems. Computers & Industrial Engineering, 171, 108505.
Li, J., Ma, Y., Gao, R., Cao, Z., Lim, A., Song, W., & Zhang, J. (2021). Deep Reinforcement Learning for Solving the Heterogeneous Capacitated Vehicle Routing Problem.
Máximo, V. R., Cordeau, J.-F., & Nascimento, M. C. V. (2021). An Adaptive Iterated Local Search Heuristic for the Heterogeneous Fleet Vehicle Routing Problem.
Meliani, Y., Hani, Y., Lissane Elhaq, S., & Mhamedi, A. El. (2022). A tabu search based approach for the Heterogeneous Fleet Vehicle Routing Problem with three-dimensional loading constraints.
Oujana, S.; Amodeo, L.; Yalaoui, F.; Brodart, D. Mixed-Integer Linear Programming, Constraint Programming and a Novel Dedicated Heuristic for Production Scheduling in a Packaging Plant. Appl. Sci. 2023, 13,6003. https://doi.org/10.3390/ app13106003
Purbasari, R., Novel, N. J. A., & Kostini, N. (2023). Digitalisasi Logistik Dalam Mendukung Kinerja E-Logistic Di Era Digital: A Literature Review Logistic. Journal of Organization Management, Business and Logistics (JOMBLO), 01(02), 177–196.
Puspitasari, E. (2024). Aplikasi metode mixed integer linear programming (MILP) dalam heterogeneous fleet capacitated vehicle routing problem (HFCVRP) (Studi kasus UMKM Bakpia Pathok Terbit). Skripsi, Universitas Islam Negeri Sunan Kalijaga.
Sutarman. (2017). Dasar – Dasar Manajemen Logistik. PT Refika Aditama.
Syahputra Pane, E., Hardianto, R., Rangga Bakti, I., & Permata Bunda, Y. (2022). Pelatihan Geographic Informatin System (Gis) Peta Digital Melalui Google Maps Dengan Menggunakan Api Key Di Fakultas Ilmu Komputer Universitas Pasir Pengaraian (UPP). MEJUAJUA: Jurnal Pengabdian Kepada Masyarakat, 2(2).
Tan, S. Y., & Yeh, W. C. (2021). The vehicle routing problem: State‐of‐the‐art classification and review. Applied Sciences (Switzerland), 11(21).
Thanh Phong, H., & Minh Hien, N. (2016). Heterogeneous Fleet Vehicle Routing Problem in Delivering Industrial Gas.
Published
2025-10-28
How to Cite
Ditta Arsyilviasari, & Ismail Husein. (2025). Application of Mixed Integer Linear Programming (MILP) Method in Capacity Vehicle Routing Problems in Heterogeneous Fleets (HFCVRP) at Bagol Hydroponics UMKM. Jurnal Multimedia Dan Teknologi Informasi (Jatilima), 7(03), 771-781. https://doi.org/10.54209/jatilima.v7i03.1765