Abstract
This study proposes a continuous production inventory model for deteriorating items with time and price-dependent demand under markdown policy for both fresh and deteriorated units. In this model, we have adopted the markdown policy to reduce the inventory and to increase the profit or rate of sale of an article, typically for clearance at the end of the season or to sell off obsolete merchandise at the end of its life. Completely deteriorated items are allowed to carry under markdown. Using the differential equations and under various cost considerations, expressions for total profit function, optimum inventory level and cycle length are obtained. All the expressions are illustrated with the help of a numerical example. Sensitivity analysis is carried out to demonstrate the effect of changing parameter values on the optimal solution of the system.
References
Burwell, T.H., Dave, D.S., Fitzpatrick, K.E., Rao, M.R.: Economic lot size model for price-dependent demand under quality and freight discounts. Int. J. Prod. Econ. 48(2), 141–155 (1997)
Goyal, S.K., Giri, B.C.: Recent trends in modeling of deteriorating inventory. Eur. J. Oper. Res. 134, 1–16 (2001)
Kim, J.S., Hwang, H., Shinn: An optimal credit policy to increase supplier’s profit with price-dependent functions. Prod. Plan. Control 6, 45–50 (1995)
Nahmias, S.C.: Perishable inventory theory: a review. Oper. Res. 30, 680–708 (1982)
Raafat, F.: Survey of literature on continuously deteriorating inventory model. J. Oper. Res. Soc. 42, 27–37 (1991)
Rao, S.K., Murthy, V.M., Rao, E.S.: An optimum ordering and pricing policy of inventory models for deteriorating items with generalized Pareto lifetime. J. Stoch. Model Appl. 8, 59–72 (2005)
Wee, H.M.: Joint pricing and replenishment policy for deteriorating inventory with decline market. Int. J. Prod. Econ. 40, 163–171 (1995)
Wee, H.M.: A replenishment policy for items with a price-dependent demand and varying rate of deterioration. Prod. Plan. Control 8, 494–499 (1997)
Widyadana, G.A., Wee, H.M.: A replenishment policy for items with price-dependent demand and deteriorating under markdown policy. J. Teknik Industri 9(2), 75–84 (2007)
Whitin, T.M.: Theory of inventory management, pp. 62–72. Princeton University Press, Princeton (1957)
You, P.S., Hsieh, Y.C.: An EOQ model with stock price dependent demand. Math. Comput. Model. 45, 933–942 (2007)
You, P.S.: Inventory policy for products with price and time dependent demands. J. Oper. Res. Soc. 56, 870–873 (2005)
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Srivastava, M., Gupta, R. An EPQ model for deteriorating items with time and price dependent demand under markdown policy. OPSEARCH 51, 148–158 (2014). https://doi.org/10.1007/s12597-013-0124-7
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DOI: https://doi.org/10.1007/s12597-013-0124-7