Fuzzy Production Inventory Model considering Imperfect Quality and Shortage: A Case Study in a Goat Milk SMEs

Authors

  • Puryani Puryani Department of Industrial Engineering, Faculty of Industrial Engineering, Universitas Pembangunan Nasional “Veteran” Yogyakarta, Jl. Babarsari No. 2 Tambakbayan Yogyakarta, 55282
  • Laila Nafisah UPN Veteran Yogyakarta
  • Nuansa Indriya Pramasthi Department of Industrial Engineering, Faculty of Industrial Engineering, Universitas Pembangunan Nasional “Veteran” Yogyakarta, Jl. Babarsari No. 2 Tambakbayan Yogyakarta, 55282
  • Apriani Soepardi Department of Industrial Engineering, Faculty of Industrial Engineering, Universitas Pembangunan Nasional “Veteran” Yogyakarta, Jl. Babarsari No. 2 Tambakbayan Yogyakarta, 55282
  • Mohammad Chaeron

DOI:

https://doi.org/10.31315/opsi.v15i2.7574

Keywords:

inventory model, fuzzy logic, quality, backorder

Abstract

Goat milk powder is one of the perishable processed products. The decreasing quality of goat milk powder can cause financial losses to the company if not regulated properly. So far, the company is also faced with the problem of consumer demand uncertainty. When demand for powdered goat's milk is high, the company experiences stockout but can be overcome by backorder. When demand is low, there will be overstock. Overstock conditions, in addition to causing high holding costs, are also at risk of product quality degradation or expiration. In this study, an inventory model of goat milk powder was developed that considers the uncertainty of demand, product quality, and backorder to determine the optimal production quantity so that the total inventory cost incurred is minimum. The basic model used is economic production quantity. Uncertainty in demand and the percentage of products declining in quality is approached using a triangular fuzzy. While the defuzzification technique used is signed distance.

References

Ali mohamadi, M., Sajadi, S.M., & Tabatabei, S.A.N. (2011). A New EPQ Model with Considering Preventive Maintenance, Imperfect Product, Stockout and Work in Process Inventory. Interdisciplinary Journal of Contemporary Research in Business, 3(8), 822-832.

Chen, S.H., Wang, C.C., and Chang, S.M. (2007), Fuzzy Economic Production Quantity Model for Items with Imperfect Quality. International Journal of Innovative Computing, Information and Control, 3(1), 85-95.

Chiang, J., Yao, J.S., & Lee, H.M. (2005). Fuzzy Inventory with Backorder Defuzzification by Signed Distance Method, Journal of Information Science and Engineering, 21, 673-694.

Chiu, H.N., 1995, A Heuristic (R, T) Periodic Review Perishable Inventory Model with Lead Times, International Journal of Production Economics, 42, 1-15.

Widodo, V., R. Afina, & I. G. S. Budisatria. (2012). Produksi dan Evaluasi Kualitas Susu Bubuk Asal Kambing Peranakan Etawa (PE). J. Teknol. dan Industri Pangan, 23(2), 132-139.

Hadiguna, R.A. (2009). Model Persediaan Minyak Sawit Kasar di Tangki Timbun Pelabuhan. Jurnal Teknik Industri, 11(2), 111-121.

Elsayed, E. A. (1994). Analysis and control of production systems (2nd ed.). Upper Sadle River, NJ.: Prentice-Hall.

Ganesan, S. & Uthayakumar, R. (2022). Optimisation of A Sustainable Fuzzy EPQ Inventory Model using Sextic Equation, European Journal of Industrial Engineering, 16(4), 442-478.

Jawlaa, P. & Singh, S.R. (2016). Multi-Item Economic Production Quantity Model with Multiple Production Setups and Rework under The Effect of Preservation Technology and Learning Environment. International Journal of Industrial Engineering Computations, 7. 1-14. DOI: 10.5267/j.ijiec.2016.2.003

Kusumadewi, S., dan Purnomo, H. (2010), Aplikasi Logika Fuzzy, Graha Ilmu, Yogyakarta.

Lee, H.M. & Chiang, J. (2007). Fuzzy Production Inventory Based on Signed Distance. Journal of Information Science And Engineering, 23, 1939-1953.

Manuama, M.Y., Suada I.K., & Sampurna, I.P. (2014). Mutu Susu Kambing Peranakan Etawa yang Disimpan pada Suhu Ruang. Indonesia Medicus Veterinus, 2014 3(3), 169-175.

Meerschaert, M.M. (2013). Mathematical Modeling, (4th edition). Academic Press is an imprint of Elsevier.

Oktavia, N., Henmaidi, & Jonrinaldi. (2017). Pengembangan Model Economic Production Quantity (EPQ) dengan Sinkronisasi Demand Kontinu dan Diskrit Secara Simultan. Jurnal Optimasi Sistem Industri, 15(1), 78-86. DOI: 10.25077/josi.v16.n1.p001-009.2017

Ritha, W. & Jeyakumari, S.R. (2013). Fuzzy Inventory Model for Imperfect Quality Items with Stockouts. Annals of Pure and Applied Mathematics, 4(2), 127-137.

Tersine, R. J. (1994). Principles of Inventory and Materials Management. New Jersey: Prentice Hall.

Velazqueza, E.A.P. & Barron, L.E.C. (2016). An Economic Production Quantity Inventory Model with Backorders Considering the Raw Material Costs. Scientia Iranica, 23(2), 736-746.

Wang, X. & Tang, W. (2009). Fuzzy EPQ Inventory Models with Backorder, Journal of Systems Science and Complexity, 22, 313–323.

Yao, J.S., & Chiang, J. (2003). Inventory Without Backorder with Fuzzy Total Cost and Fuzzy Storing Cost Defuzzied by centroid and Signed Distance. European Journal of Operational Research, 148, 401-409.

Zurriyati, Y., Noor, R. R., Maheswari, R. R. A. 2011. Analisis Molekuler Genotipe Kappa Kasein (Κ-Kasein) dan Komposisi Susu Kambing Peranakan Etawa, Saanen dan Persilangannya. Jurnal Ilmu Ternak dan Veteriner, 16(1), 61-70.

Published

2022-12-30