Penentuan Rute Kendaraan Heterogen Menggunakan Algoritma Insertion Heuristic

Main Article Content

Nanda Saputra
Prima Denny Sentia
Andriansyah Andriansyah

Keywords

Abstract

Distribution process at PT XYZ is identical to one of the variants of Vehicle Routing Problem (VRP) which there are several vehicles with different capacities and operation cost, called as Heterogeneous Fleet Vehicle Routing Problem (HFVRP). There are two kinds of vehicle that have been used, namely, vehicle As and vehicle Bs. Vehicle As has the higher operation cost than vehicle Bs. Currently, the company implements policies where vehicle Bs is used if all vehicle As have been used. This policy may lead the distribution cost is so expensive and its equal with the operation cost of vehicle As that also high. Routing aims to combine the use of available vehicles to generate minimal distribution costs in servicing the customers. This research uses mathematical model according to the description of the distribution system in the company. The model is verified and tested using the optimization software. Then the constraints of the verifiable mathematical model are used as the basis for developing Insertion Heuristic (IH) algorithm. Comparison of model solutions with developed algorithm solutions showed a difference of 11.6%. This implies that the algorithm generated solution is quite good as one of the heuristic approaches that result in optimal local solutions. Implementation of IH algorithm provides cost savings of 5.97% towards the actual distribution system in the company.

Downloads

Download data is not yet available.

References

[1] J.-F. Cordeau, M. Gendreau, G. Laporte, J.-Y. Potvin, and F. Semet, “A guide to vehicle routing heuristics,” J. Oper. Res. Soc., vol. 53, no. 5, pp. 512–522, 2002.

[2] A. Arvianto, A. H. Setiawan, and S. Saptadi, “Model Vehicle Routing Problem dengan Karakteristik Rute Majemuk, Multiple Time Windows, Multiple Products dan Heterogeneous Fleet untuk Depot Tunggal,” J. Tek. Ind., vol. 16, no. 2, pp. 83–94, 2014, https://doi.org/10.9744/jti.16.2.83-94.

[3] I. A. Fajarwati and W. Anggraeni, “Penerapan Algoritma Differential Evolution untuk Penyelesaian Permasalahan Vehicle Routing Problem with Delivery and Pick-up,” J. Tek. ITS, vol. 1, no. 2301–9271, pp. A391–A396, 2012.

[4] Suthikarnnarunai N., “A Sweep Algorithm for the Mix Fleet Vehicle Routing Problem,” Int. MultiConference Eng. Comput. Sci. 2008. IMECS 2008, vol. 2, pp. 19–21, 2008.

[5] M. N. Kritikos and G. Ioannou, “The Heterogeneous fleet vehicle routing problem with overloads and time windows,” Int. J. Prod. Econ., vol. 144, no. 1, pp. 68–75, 2013, https://doi.org/10.1016/j.ijpe.2013.01.020.

[6] C. Lin, K. L. Choy, G. T. Ho, S. H. Chung, and H. Y. Lam, “Survey of green vehicle routing problem: past and future trends,” Expert Syst. Appl., vol. 41, no. 4, pp. 1118–1138, 2014, https://doi.org/10.1016/j.eswa.2013.07.107.

[7] F. Belmecheri, C. Prins, F. Yalaoui, and L. Amodeo, “Particle swarm optimization algorithm for a vehicle routing problem with heterogeneous fleet, mixed backhauls, and time windows,” J. Intell. Manuf., vol. 24, no. 4, pp. 775–789, 2013, https://doi.org/10.1007/s10845-012-0627-8.

[8] S. N. Kumar and R. Panneerselvam, “A survey on the vehicle routing problem and its variants,” Intell. Inf. Manag., vol. 4, no. 3, p. 66, 2012, http://dx.doi.org/10.4236/iim.2012.43010.

[9] M. Gendreau, Classical heuristics for the vehicle routing problem, April 2017. 2000.

[10] L. Octora, A. Imran, and S. Susanty, “Pembentukan Rute Distribusi Menggunakan Algoritma Clarke & Wright Savings dan Algoritma Sequential Insertion,” Reka Integr., vol. 2, no. 2, pp. 1–11, 2014.

[11] A. Purnomo, “Analisis Rute Pendistribusian dengan Menggunakan Metode Nearest Insertion Heuristic Persoalan The Vehicle Routing Problem with Time Windows (VRPTW) (Studi Kasus di Koran Harian Pagi Tribun Jabar),” in Pemberdayaan Rekayasa Industri Berbasis Eco-Efficiency pada Era Perdagangan Bebas, 2010.