Model Economic Production Quantity dengan Rework Process dan Batasan Gudang

Dana Marsetiya Utama(1*), Dwi Pramudia Wardani(2), Syukron Taufiqurrohman Halifah(3), Dimas Caesario Pradikta(4),

(1) Universitas Muhammadiyah Malang
(2) Teknik Industri Universitas Muhammadiyah Malang
(3) Teknik Industri Universitas Muhammadiyah Malang
(4) Teknik Industri Universitas Muhammadiyah Malang
(*) Corresponding Author


Rework products and warehouse capacity are common problems experienced by companies in the production process. Several Economic Production Quantity (EPQ) models were developed to minimize the costs of purchasing raw materials. This study aims to develop an Economic Production Quantity (EPQ) model with rework processes and warehouse constraints, assuming that the product is not perfect and can rework. The proposed model considers several cost components, including setup, holding, production, rework, and warehouse. The two proposed models are EPQ models with reworks and warehouse costs, and EPQ models with reworks and warehouse constraints. Based on several tests conducted, it obtains that the increase in the value of the maximum inventory amount did not have an impact on the production costs and the cost of the rework process. Based on several numerical experiments, the total cost of the rework process and production costs do not change to the maximum inventory value.


Economic Production Quantity; Rework Process; Constrained Space

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[1] D. Marsetiya Utama, “Model Penentuan Lot Pemesanan Dengan Mempertimbangkan Unit Diskon dan Batasan Kapasitas Gudang dengan Program Dinamis,” J. Tek. Ind., vol. 18, no. 1, pp. 94–102, Aug. 2017, doi: 10.22219/jtiumm.vol18.no1.94-102.

[2] D. M. Utama, “Model Program Dinamis Dalam Penentuan Lot Pemesanan dengan Mempertimbangkan Batasan Modal,” in Prosiding SENTRA (Seminar Teknologi dan Rekayasa), 2017, pp. 1–6, available at:

[3] D. M. Utama, “Penentuan Lot Size Pemesanan Bahan Baku Dengan Batasan Kapasitas Gudang,” J. Ilm. Tek. Ind., vol. 15, no. 1, pp. 64–68, Jul. 2017, doi: 10.23917/jiti.v15i1.1664.

[4] D. M. Utama, “Model Program Dinamis Untuk Lot Size Multi Item dengan Kendala Kapasitas Gudang,” J@ti Undip J. Tek. Ind., vol. 14, no. 1, pp. 21–26, May 2019, doi: 10.14710/jati.14.1.21-26.

[5] A. H. Tai, “Economic production quantity models for deteriorating/imperfect products and service with rework,” Comput. Ind. Eng., vol. 66, no. 4, pp. 879–888, Dec. 2013, doi: 10.1016/j.cie.2013.09.007.

[6] B. Sarkar, L. E. Cárdenas-Barrón, M. Sarkar, and M. L. Singgih, “An economic production quantity model with random defective rate, rework process and backorders for a single stage production system,” J. Manuf. Syst., vol. 33, no. 3, pp. 423–435, Jul. 2014, doi: 10.1016/j.jmsy.2014.02.001.

[7] S. H. R. Pasandideh, S. T. A. Niaki, and S. S. Mirhosseyni, “A parameter-tuned genetic algorithm to solve multi-product economic production quantity model with defective items, rework, and constrained space,” Int. J. Adv. Manuf. Technol., vol. 49, no. 5–8, pp. 827–837, Jul. 2010, doi: 10.1007/s00170-009-2432-x.

[8] K.-J. Chung, “The economic production quantity with rework process in supply chain management,” Comput. Math. with Appl., vol. 62, no. 6, pp. 2547–2550, Sep. 2011, doi: 10.1016/j.camwa.2011.07.039.

[9] Y.-S. P. Chiu, “Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging,” Eng. Optim., vol. 35, no. 4, pp. 427–437, Aug. 2003, doi: 10.1080/03052150310001597783.

[10] A. A. Taleizadeh, L. E. Cárdenas-Barrón, J. Biabani, and R. Nikousokhan, “Multi products single machine EPQ model with immediate rework process,” Int. J. Ind. Eng. Comput., vol. 3, no. 2, pp. 93–102, Jan. 2012, doi:10.5267/j.ijiec.2011.09.001.

[11] S. Khalilpourazari and S. H. R. Pasandideh, “Bi-objective optimization of multi-product EPQ model with backorders, rework process and random defective rate,” in 2016 12th international conference on industrial engineering (ICIE), 2016, pp. 36–40, available at: 10.1109/INDUSENG.2016.7519346.

[12] S. W. Chiu, S.-L. Wang, and Y. P. Chiu, “Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns,” Eur. J. Oper. Res., vol. 180, no. 2, pp. 664–676, Jul. 2007, doi: 10.1016/j.ejor.2006.05.005.

[13] M. J. Rosenblatt and H. L. Lee, “Economic Production Cycles with Imperfect Production Processes,” IIE Trans., vol. 18, no. 1, pp. 48–55, Mar. 1986, doi: 10.1080/07408178608975329.

[14] P. A. Hayek and M. K. Salameh, “Production lot sizing with the reworking of imperfect quality items produced,” Prod. Plan. Control, vol. 12, no. 6, pp. 584–590, Jan. 2001, doi: 10.1080/095372801750397707.

[15] Y. Peter Chiu and S. Wang Chiu, “A finite production model with random defective rate and shortages allowed and backordered,” J. Inf. Optim. Sci., vol. 24, no. 3, pp. 553–567, Sep. 2003, doi: 10.1080/02522667.2003.10699584.

[16] S. W. Chiu and Y.-S. P. Chiu, “Mathematical modeling for production system with backlogging and failure in repair,” J. Sci. Ind. Res., vol. 65, no. 6, p. 499=506, 2006, available at:

[17] S. Wang Chiu, “Optimal replenishment policy for imperfect quality EMQ model with rework and backlogging,” Appl. Stoch. Model. Bus. Ind., vol. 23, no. 2, pp. 165–178, Nov. 2006, doi: 10.1002/asmb.664.

[18] L. E. Cárdenas-Barrón, “Economic production quantity with rework process at a single-stage manufacturing system with planned backorders,” Comput. Ind. Eng., vol. 57, no. 3, pp. 1105–1113, Oct. 2009, doi: 10.1016/j.cie.2009.04.020.

[19] H.-M. Wee, W.-T. Wang, and L. E. Cárdenas-Barrón, “An alternative analysis and solution procedure for the EPQ model with rework process at a single-stage manufacturing system with planned backorders,” Comput. Ind. Eng., vol. 64, no. 2, pp. 748–755, Feb. 2013, doi: 10.1016/j.cie.2012.11.005.

[20] E. Shekarian, M. Y. Jaber, N. Kazemi, and E. Ehsani, “A fuzzified version of the economic production quantity (EPQ) model with backorders and rework for a single-stage system,” Eur. J. Ind. Eng., vol. 8, no. 3, pp. 291–324, 2014, doi: 10.1504/EJIE.2014.060998.

[21] B. R. Sarker, A. M. M. Jamal, and S. Mondal, “Optimal batch sizing in a multi-stage production system with rework consideration,” Eur. J. Oper. Res., vol. 184, no. 3, pp. 915–929, Feb. 2008, doi: 10.1016/j.ejor.2006.12.005.

[22] G. A. Widyadana and H. M. Wee, “An economic production quantity model for deteriorating items with multiple production setups and rework,” Int. J. Prod. Econ., vol. 138, no. 1, pp. 62–67, Jul. 2012, doi: 10.1016/j.ijpe.2012.02.025.

[23] S. H. R. Pasandideh and S. T. A. Niaki, “A genetic algorithm approach to optimize a multi-products EPQ model with discrete delivery orders and constrained space,” Appl. Math. Comput., vol. 195, no. 2, pp. 506–514, Feb. 2008, doi: 10.1016/j.amc.2007.05.007.

[24] S. H. R. Pasandideh, S. T. A. Niaki, and J. A. Yeganeh, “A parameter-tuned genetic algorithm for multi-product economic production quantity model with space constraint, discrete delivery orders and shortages,” Adv. Eng. Softw., vol. 41, no. 2, pp. 306–314, Feb. 2010, doi: 10.1016/j.advengsoft.2009.07.001.

[25] S. Islam and T. K. Roy, “A fuzzy EPQ model with flexibility and reliability consideration and demand dependent unit production cost under a space constraint: A fuzzy geometric programming approach,” Appl. Math. Comput., vol. 176, no. 2, pp. 531–544, May 2006, doi: 10.1016/j.amc.2005.10.001.

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