An EPQ Model of Delayed Deteriorating Items with Price And Inventory Level Dependent Demand under Markdown Policy

Authors:

NurzaharaAtika Kamaruzaman,Mohd Omar,

DOI NO:

https://doi.org/10.26782/jmcms.2019.03.00037

Keywords:

Inventory Model,Deteriorating Items,Delayed Deterioration, Price and Inventory Level Dependent Demand,Markdown Policy,

Abstract

This paper developed a delayed deteriorating inventory model with price and inventory level dependent demand that applies markdown policy. In this study, we showed that markdown caters the necessity to balance the need to maximize annual profit with the need to clear end of life inventory Utterly deteriorated items are allowed to carry under markdown policy. The salvage value is incorporated to the deteriorated units. We establish a model that gives the best markdown time and at the same time maximizes annual profit. We also discover the relationship between demand depending factors and markdown policy. A mathematical formulation for the model by using differential equations is developed. Numerical exampleis used to illustrate the effectiveness of the model

Refference:

I.Ghare, P. M., & Schrader, G. F. (1963). A model for exponentially decaying inventory. Journal of industrial Engineering, 14(5), 238-243.

II.Nahmias, S. (1982). Perishable inventory theory: A review. Operations research, 30(4), 680-708.

III.Goyal, S. K., &Giri, B. C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of operational research, 134(1), 1-16.

IV.Wee, H. (1995). Joint pricing and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economics, 8840(2-3), 163-171.

V.Samanta, G. P., & Roy, A., (2004). A production inventory model with deteriorating items and shortages. Yugoslav Journal of Operations Research, 14(2), 219-230.

VI.Teng, J. T., & Chang, C. T. (2005). Economic production quantity models for deteriorating items with price-and stock-dependent demand. Computers & Operations Research, 32(2), 297-308.

VII.Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2006). An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. International Journal of Production Economics, 101(2), 369-384.

VIII.Widyadana, G. A., & Wee, H. M., (2007). A replenishment policy for item with price dependent demand and deteriorating under markdownpolicy. JurnalTeknikIndustri, 9(2), 75-84.

IX.Srivastava, M., & Gupta, R., (2013). An EPQ model for deteriorating items with time and price dependent demand under markdown policy. Opsearch,51(1), 148-158

X.Urban, T. L., &Baker, R. C., (1997). Optimal ordering and pricing policies in a single-period environment with multivariate demand and markdowns. European Journal of Operational Research, 103(3), 573-583.

XI.Baker, R. C., & Urban, T. L., (1988). A deterministic inventorysystem with an inventory-level-dependent demand rate. Journal of the Operational Research Society, 39(9), 823-831.

XII.Mandal, B. N., &Phaujdar, S., (1989). An Inventory Model for Deteriorating Items and Stock-Dependent Consumption Rate. The Journal of the Operational Research Society, 40(5), 483.

XIII.Datta, T. K., & Pal, A. K., (1990). A note on an inventory model with inventory-level-dependent demand rate. Journal of the Operational Research Society, 41(10), 971-975.

XIV.Padmanabhan, G., &Vrat, P., (1995). EOQ models for perishable items under stock dependent selling rate. European Journal of Operational Research, 86(2), 281-292.

XV.Omar, M., &Zulkipli, H. (2014). An integrated just-in-time inventory system with stock-dependent demand. Bulletin of the Malaysian Mathematical Sciences Society, 37(4).

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