An Inventory Model for Deteriorating Items With Exponential Declining Demand and Return

Authors

  • Fadli Fadli Master Program in Mathematics, Faculty of Mathematics and Natural Sciences, Padjadjaran University, Bandung
  • Sudarajat Sudrajat Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padjadjaran University, Bandung
  • E. Lesmana Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padjadjaran University, Bandung

DOI:

https://doi.org/10.35799/jis.20.1.2020.27767

Abstract

In this paper propose an EOQ mathematical model for deteriorating items. The model is developed with a demand function that decreases exponentially, a constant deterioration rate, a shortage is permitted, and a return occurs. The purpose of this model is to determine the minimum total cost by determining the optimal return time and the optimal number of orders. A numerical example is given to describe the working model. Furthermore, a sensitivity analysis was conducted to see the effect of changing parameters on the optimal solution.

Keywords: Deteriorating item, inventory, return, shortage

Model Persediaan Deteriorasi Item Dengan Exponential Declining Demand dan Return

ABSTRAK

Dalam makalah ini mengusulkan model matematika EOQ untuk item yang mengalami deteriorasi. Model ini dikembangkan dengan fungsi permintaan yang menurun secara eksponensial, laju deteriorasi konstan, kekurangan diizinkan, dan terjadi pengembalian. Tujuan dari model ini adalah untuk menentukan biaya total minimum dengan menentukan waktu pengembalian optimal dan jumlah pesanan optimal. Contoh numerik diberikan untuk menggambarkan model bekerja. Selanjutnya, analisis sensitivitas dilakukan untuk melihat efek perubahan parameter pada solusi optimal.

Kata kunci: Deteriorasi item, persediaan, pengembalian, kekurangan


References

Amutha, R. & E. Chandrasekaran. 2013. An EOQ Model for a Deteriorating Item With Quadratic Demand and Time Depandent Holding Cost. International Journal of Emerging Science and Engineering, 5: 5-6.

Bhanu, P.D., S. Trailokyanath & P. Hadhibandu. 2014. An Inventory Model for Deteriorating Items With Exponential Declining Demand and Time- Vaying Holding Cost. American Journal of Operations Research, 4: 1-7.

Chang, H. J. & C.Y. Dye. 1999. An EOQ Model With Deteriorating ItemsWith Time Varying Demand and Partial Backlogging. Journal of the Operational Research Society, 50: 1176-1182.

Chung, H. J. & S.F. Tsai. 1999. A solution procedure to determine inventory replenisment policies for deteriorating items in a declining market: Journal of information & Optimization Science, 20: 1-15.

Covert, R.B. & G.S. Philip. 1973. An EOQ model with Weibull distribution deterioration. AIIE Transactions, 5: 323-326.

Dave & L.K. Patel. 1981. (T, Si) Policy Inventory Model for Deteriorating Items with Time Proportional Demand. Journal of the Operational Research Society, 32: 137-142.

Hariga M. & L. Benkherouf. 1994. Optimal and heuristic replenisment model for deteriorating items with exponential time varying demand. Europan Journal of Operational Research, 79: 123-137.

Hollier, R.H. & K.L. Mak. 1983. Inventory reflenisment policies for deteriorating items in a declining market. Internatioanl Journal of Production Research, 21: 813-826.

Limansyah, T., J.D. Lesmono & N. Loedy. 2018. Development of inventory models with deterioration, discount and return factors. Bandung : Institute for Research and Community Service at Parahyangan Catholic University.

Mishra, V. K., L.S. Singh & R. Kumar. 2013. An Inventory Model for Deteriorating Items with Time-Dependent Demand and Time-Varying Holding Cost under Partial Backlogging. Journal of Industrial Engineering International, 9(4): 1-5.

Ouyang, L.Y., K.S. Wu & M.C. Cheng. 2005. An Inventory Model for Deteriorating Items With Exponential Declining Demand and Partial Backlogging. Yugoslav Journal of Operations Research, 15(2): 277-288.

Setiawan, S.W. D. Lesmono & T. Limansyah. 2017. A Perishable Inventory Model wit Return. Paper presented at the 2nd Internatioanl Conference on Mathe-matics, Science, Education and Technology, Padang, October 5-6, 2017.

Shah, Y.K. & Jaiswal. 1977. An order level inventory model for a system with constant rate of deterioration. Opsearch, 14: 74-184.

Singh, T. & N. Pattnayak. 2013. An EOQ Model for Deteriorating Items With Linear Demand, Variable Deterioration and Partial Backlogging. Journal of Service Science and Management, 6: 186-190.

Su, CT., C.W. Lin & C.H. Tsai. 1999. A deterministic production inventory model for deteriorating items with an exponential declining demand. Operational Research Society of India, 36: 95-106.

Wee, H. M. 1995. A deterministic Lot-Size Inventory Model for Deteriorating Items with Shortages and a Declining Market. Computers and Operations Research, 22(3): 345-356.

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Published

2020-04-20

How to Cite

Fadli, F., Sudrajat, S., & Lesmana, E. (2020). An Inventory Model for Deteriorating Items With Exponential Declining Demand and Return. Jurnal Ilmiah Sains, 20(1), 31–36. https://doi.org/10.35799/jis.20.1.2020.27767

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Articles