Production inventory policy under a discounted cash flow
DOI:
https://doi.org/10.2298/YJOR0502289SKeywords:
EMQ, discounted cash flow, optimal production schedulingAbstract
This paper presents an extended production inventory model in which the production rate at any instant depends on the demand and the inventory level. The effects of the time value of money are incorporated into the model. The demand rate is a linear function of time for the scheduling period. The proposed model can assist managers in economically controlling production systems under the condition of considering a discounted cash flow. A simple algorithm computing the optimal production-scheduling period is developed. Several particular cases of the model are briefly discussed. Through numerical example, sensitive analyses are carried out to examine the effect of the parameters. Results show that the discount rate parameter and the inventory holding cost have a significant impact on the proposed model.References
Balkhi, Z.T., and Benkherouf, L., "A production lot size inventory model for deteriorating items and arbitrary production and demand rates", European Journal of the Operational Research, 92 (1996) 302-309.
Bhunia, A.K., and Maiti, M., "Deterministic inventory models for variable production", Journal of the Operational Research Society, 48 (1997) 221-224.
Bose, S., Goswami, A., and Chaudhuri, K.S., "An EOQ model for deteriorating items with linear time-dependent demand rate and shortage under inflation and time discounting", Journal of the Operational Research Society, 46 (1995) 771-782.
Chung, K.H., and Kim, Y.H., "Economic analysis of inventory systems: a rejoinder", The Engineering Economist, 35 (1989) 75-80.
Dohi, T., Kaio, N., and Osaki, S., "A note on optimal inventory policies taking account of time value", RAIRO-Operations Research, 26 (1992) 1-14.
Goswami, A., and Chaudhuri, K.S., "EOQ model for an inventory with a linear trend in demand and finite rate of replenishment considering shortages", International Journal of Systems Science, 22 (1991) 181-187.
Goswami, A., and Chaudhuri, K.S., "Variations of order-level inventory models for deteriorating items", International Journal of Production Economics, 27 (1992) 111-117.
Gurnani, C., "Economic analysis of inventory systems", International Journal of Production Research, 21 (1983) 261-277.
Hariga, M., "The inventory lot-sizing problem with continuous time-varying demand and shortages", Journal of the Operational Research Society, 45 (1994) 827-837.
Hong, J.D., Cavalier, T.M., and Hayya, J.C., "On the ( , ) j t S policy in an integrated production/inventory model with time-proportional demand", European Journal of Operational Research, 69 (1993) 154-165.
Mak, K.L., "A production lot size inventory model for deteriorating items", Computers and Industrial Engineering, 6 (1982) 309-317.
Mandal, B.N., and Phaujdar, S., "An inventory model for deteriorating items and stock-dependent consumption rate", Journal of the Operational Research Society, 40 (1989) 483-488.
Moon, I., and Yun, W., "An economic order quantity model with a random planning horizon", The Engineering Economist, 39 (1993) 77-83.
Sarker, B.R., Jamal, A.M.M., and Wang, S., "Optimal payment time under permissible delay in payment for products with deterioration", Production Planning and Control, 11 (2000) 380-390.
Su, C.T., and Lin, C.W., "A production inventory model which considers the dependence of production rate on demand and inventory level", Production Planning and Control, 12 (2001) 69-75.
Su, C.T., and Lin, C.W., "A production inventory model for variable demand and production", Yugoslav Journal of Operations Research, 9 (1999) 197-206.
Trippi, R.R., and Lewin, D.E., "A present value formulation of the classical EOQ problem", Decision Sciences, 5 (1974) 30-35.
Urban, T.L., "An inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions", Journal of the Operational Research Society, 43 (1992) 721-724.
Wee, H.M., "A deterministic lot-size inventory model for deteriorating items with shortages and a declining market", Computers and Operations Research, 22 (1995) 345-356.
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