Optimasi Ukuran Lot Persediaan dalam Model Integrasi Single Vendor dan Single Buyer dengan Mempertimbangkan Kekurangan Buyer

Authors

  • Alifia Shafira Rahma Universitas Muhammadiyah Gresik
  • Said Salim Dahda Universitas Muhammadiyah Gresik

DOI:

https://doi.org/10.36722/sst.v9i3.2715

Abstract

The supply chain is the main factor influencing the production process in achieving goals. This research develops a model to determine the optimal production lot size in the supply chain system between vendors and buyers by considering the inventory shortage at the buyer. Minimizing the combined inventory cost is the goal of optimizing the production lot size by developing an integration model to determine the optimal lot size. The proposed model uses a periodic delivery method from the vendor to the buyer and allows for inventory shortages at the buyer. An iterative algorithm is applied to find the optimal lot size and minimum integrated inventory cost. The results showed that the initial model with n=1 resulted in a total cost of 2252 and an optimal production size (Q*) of 457. The proposed model reduces the total cost to 1605 with an optimal production size (Q*) of 737. Sensitivity analysis showed that an increase in the frequency of deliveries to vendors and vendor set-up costs contributed to a rise in total cost, while an increase in vendor storage costs led to a decrease in production lot size. This research can improve the efficiency of production planning and inventory management in the supply chain.

Keywords - Inventory, Shortages, Single Buyer, Single Vendor.

Author Biographies

  • Alifia Shafira Rahma, Universitas Muhammadiyah Gresik
    Program studi Teknik Industri, Fakultas Teknik
  • Said Salim Dahda, Universitas Muhammadiyah Gresik
    Program studi Teknik Industri, Fakultas Teknik

References

S. J. Sadjadi, S. Zokaee, and N. Dabiri, “A single-vendor single-buyer joint economic lot size model subject to budget constraints,†International Journal of Advanced Manufacturing Technology, vol. 70, no. 9–12, pp. 1699–1707, 2014, doi: 10.1007/s00170-013-5382-2.

K. Yogatama, L. N. Puryani, A. Soepardi, and M. Chaeron, Vendor-Buyer Inventory Model. 2022.

N. P. Sejati, W. A. Jauhari, and C. N. Rosyidi, “Model Persediaan Pemasok-Pembeli Dengan Produk Cacat Dan Kecepatan Produksi Terkontrol.,†Jurnal Teknik Industri, vol. 15, no. 2, pp. 103–111, 2016, doi: 10.22219/jtiumm.vol15.no2.103-111.

B. C. Giri and S. Bardhan, “Sub-supply chain coordination in a three-layer chain under demand uncertainty and random yield in production,†Int J Prod Econ, vol. 191, pp. 66–73, 2017.

M. A. Agustian and S. S. Dahda, “Pengembangan Model Persediaan Single Vendor Multi Buyer Dengan Kebijakan Rework,†SITEKIN: Jurnal Sains, Teknologi dan Industri, vol. 19, no. 2, pp. 211–217, 2022.

A. Andriolo, D. Battini, R. W. Grubbström, A. Persona, and F. Sgarbossa, “A century of evolution from Harris’s basic lot size model: Survey and research agenda,†Int J Prod Econ, vol. 155, pp. 16–38, 2014, doi: 10.1016/j.ijpe.2014.01.013.

L. E. Cárdenas-Barrón, G. Treviño-Garza, G. A. Widyadana, and H. M. Wee, “A constrained multi-products EPQ inventory model with discrete delivery order and lot size,†Appl Math Comput, vol. 230, pp. 359–370, 2014, doi: 10.1016/j.amc.2013.12.077.

B. C. Giri, J. K. Majhi, and K. Chaudhuri, “Coordination mechanisms of a three-layer supply chain under demand and supply risk uncertainties,†RAIRO-Operations Research, vol. 55, pp. S2593–S2617, 2021.

H. M. Abdelsalam and M. M. Elassal, “Joint economic lot sizing problem for a three—Layer supply chain with stochastic demand,†Int J Prod Econ, vol. 155, pp. 272–283, 2014.

L. E. Cárdenas-Barrón and S. S. Sana, “A production-inventory model for a two-echelon supply chain when demand is dependent on sales teams’ initiatives,†Int J Prod Econ, vol. 155, no. 2009, pp. 249–258, 2014, doi: 10.1016/j.ijpe.2014.03.007.

S. J. Sadjadi, S. Zokaee, and N. Dabiri, “A single-vendor single-buyer joint economic lot size model subject to budget constraints,†International Journal of Advanced Manufacturing Technology, vol. 70, no. 9–12, pp. 1699–1707, 2014, doi: 10.1007/s00170-013-5382-2.

B. C. Giri, R. Bhattacharjee, and A. Chakraborty, “A vendor-buyer integrated inventory system with vendor’s capacity constraint,†International Journal of Logistics Systems and Management, vol. 21, no. 3, pp. 284–303, 2015.

C. K. Sivashankari and S. Panayappan, “Production inventory model for two-level production with deteriorative items and shortages,†The International Journal of Advanced Manufacturing Technology, vol. 76, pp. 2003–2014, 2015.

A. Mahmoodi, A. Haji, and R. Haji, “A two-echelon inventory model with perishable items and lost sales,†Scientia Iranica, vol. 23, no. 5, pp. 2277–2286, 2016.

N. A. Kurdhi, M. Marchamah, and Respatiwulan, “A two-echelon supply chain inventory model with shortage backlogging, inspection errors and uniform demand under imperfect quality items,†International Journal of Procurement Management, vol. 11, no. 2, pp. 135–152, 2018.

X. Lai, Z. Chen, B. C. Giri, and C.-H. Chiu, “Twoâ€Echelon Inventory Optimization for Imperfect Production System under Quality Competition Environment,†Math Probl Eng, vol. 2015, no. 1, p. 326919, 2015.

R. S. Kumar and A. Goswami, “EPQ model with learning consideration, imperfect production and partial backlogging in fuzzy random environment,†Int J Syst Sci, vol. 46, no. 8, pp. 1486–1497, 2015, doi: 10.1080/00207721.2013.823527.

S. Dahda and D. Andesta, “Ukuran Lot yang Ekonomis pada Model Persediaan Integrasi Single vendor dan Single buyer,†Matrik : Jurnal Manajemen & Teknik Industri-Produksi, vol. XXIII, no. 1, pp. 65–74, 2022, doi: 10.350587/Matrik.

M. A. Agustian and S. S. Dahdah, “Pengembangan Model Persediaan Single Vendor Multi Buyer Dengan Kebijakan Rework,†SITEKIN: Jurnal Sains, Teknologi dan Industri, vol. 19, no. 2, pp. 211–217, 2022.

S. S. Dahda and D. Andesta, “Ukuran Lot yang Ekonomis pada Model Persediaan Integrasi Pemasok Tunggal dan Pembeli Tunggal,†Matrik: Jurnal Manajemen dan Teknik Industri Produksi, vol. 23, no. 1, pp. 65–74, 2022.

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Published

2024-10-01

Issue

Section

JURNAL AL-AZHAR INDONESIA SERI SAINS DAN TEKNOLOGI