A production-inventory model for a deteriorating item with shortage and time dependent demand
DOI:
https://doi.org/10.2298/YJOR1101029KKeywords:
Production inventory model, time-dependent demand, deteriorating itemAbstract
In the present article, a production-inventory model is developed over a finite planning horizon where the demand varies linearly with time. The machine production rate is assumed to be finite and constant. Shortages in inventory are allowed and are completely backlogged. The associated constrained minimization problem is numerically solved. Sensitivity analysis is also presented for the given model.References
Bahari-Kashani, H. (1989) Replenishment schedule for deteriorating items with time-proportional demand. Journal of the Operational Research Society, 40, 75-81
Balkhi, Z.T. (2000) Viewpoint on the optimal production stopping and restarting times for an EOQ model with deteriorating items. Journal of the Operational Research Society, 51 999-1003
Balkhi, Z.T., Goyal, S.K., Giri, B.C. (2001) Viewpoint on some notes on the optimal production stopping and restarting times for an EOQ model with deteriorating items. Journal of the Operational Research Society, 52, 1-2
Buchanan, J.T. (1980) Alternative solution methods for the inventory replenishment problem under increasing demand. J Oper Res Soc, 31(7): 615-20
Chakrabarti, T., Chaudhuri, K.S. (1997) An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles. International Journal of Production Economics, 49, 205-213
Chakrabarty, T., Giri, B.C., Chaudhuri, K.S. (1998) An EOQ model for items with Weibull distribution deterioration, shortages and trended demand: An extension of Philip's model. Computers and Operations Research, 25, 649-657
Chakraborty, T., Giri, B.C., Chaudhuri, K.S. (1998) A heuristic for replenishment of deteriorating items with time varying demand and shortages in al cycles. International Journal of Systems Science, Vol. 29, No. 6, 551-556
Chung, K., Ting, P.S. (1993) A heuristic for replenishment of deteriorating items with a linear trend in demand. J Oper Res Soc, vol. 44, 1235-1241
Dave, U., Patel, L.K. (1981) T, Si: Policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 32, 137-142
Dave, U. (1989) On a heuristic inventory replenishment rule for items with a linearly increasing demand incorporating shortages. Journal of Operational Research Society, 40, 827- 830
Deb, M., Chaudhuri, K. (1987) A note on the heuristic for replenishment of trended inventories considering shortages. Journal of Operational Research Society, 38, str. 459-463
Donaldson, W.A. (1977) Inventory replenishment policy for a linear trend in demand: An analytic solution. Operational Research Quarterly, 28, 663-670
Fujiwara, O., Perrera, U.L.J.S.R. (1993) EOQ models for continuously deteriorating products using linear and exponential penalty costs. European Journal of Operational Research, Vol. 70, 104-114
Giri, B.C., Chakrabarti, T., Chaudhuri, K.S. (2000) A note on a lot sizing heuristic for deteriorating items with time-varying demands and shortages. Computers & Operations Research, 27(6): 495-505
Giri, B.C., Goswami, A., Chaudhuri, K.S. (1996) An EOQ model for deteriorating items with time varying demand and costs. J Oper Res Soc, vol. 47, str. 1398-1405
Giri, B.C., Chaudhuri, K.S. (1999) An economic production lot-size model with shortages and time-dependent demand. 10, 203-211
Goal, S.K., i dr. (1992) The finite horizon trended inventory replenishment problem with shortages. Journal of the Operational Research Society, 43(12): 1173
Goswami, A., Chaudhuri, K.S. (1991) EOQ model for an inventory with a linear trend in demand and finite rate of replenishment considering shortages. International Journal of Systems Science, 37, 454-466
Goswami, A., Chaudhuri, K.S. (1991) An EOQ model for deteriorating items with shortages and a linear trend in demand. Journal of the Operational Research Society, 42, 1105-1110
Goyal, S. (1986) On improving replenishment policies for linear trend in demand. Engineering Costs and Production Economics, 10(1): 73-76
Goyal, S.K., Kusy, M., Soni, R. (1986) A note on the economic order intervals for an item with linear trend in demand. Engineering Costs and Production Economics, 10, str. 253-255
Goyal, S.K. (1988) A heuristic for replenishment of trended inventories considering shortages. Journal of Operational Research Society, 39, str. 885-887
Hariga, M. (1996) Optimal EOQ model for deteriorating items with time-varying demand. J Oper Res Soc, vol. 47, 1228-1246
Hariga, M. (1995) An EOQ model for deteriorating items with shortages and time varying demand. J Oper Res Soc, Vol. 46, No. 2, 398-404
Hariga, M., Benkherouf, L. (1994) Optimal and heuristic replenishment models for deteriorating items with exponential time varying demand. European Journal of Operational Research, Vol. 79, 123-137
Hong, J.D., Sandrapaty, R.R., Hayya, J.C. (1990) On production policies for a linearly increasing demand and finite, uniform production rate. Computers & Industrial Engineering, 18.(2) 119-127
Jalan, A.K., Chaudhuri, K.S. (1999) Structural properties of an inventory system with deterioration and trended demand. International Journal of Systems Science, 30, 627-633
Jalan, A.K., Chaudhuri, K.S. (1999) An EOQ model for deteriorating items in a declining market with SFI policy. Korean J. Comput. Appl. Math., 6(2): 437
Jalan, A.K., Giri, R.R., Chaudhuri, K.S. (1996) EOQ model for items with Weibull distribution deterioration, shortages and trended demand. International Journal of Systems Science, 27(9): 851-855
Khouja, M. (1995) The economic production lot size model under volume flexibility. Computers and Ops. Res, 22. 515-523
Khouja, M., Mehrez, A. (1994) An economic production lot size model with variable production rate and imperfect quality. Journal of the Operational Research Society, 45(12): 1405
Kicks, P., Donaldson, W.A. (1980) Irregular demand: Assessing a rough and ready lot size formula. Journal of Operational Research Society, 31, str. 725-732
Lin, C., Tan, B., Lee, W. (2000) An EOQ model for deteriorating items with time-varying demand and shortages. International Journal of Systems Science, 31(3): 391-400
Mitra, A., Cox, J.F., Jesse, R.R.Jr. (1984) A note on determining order quantities with a linear trend in demand. Journal of the Operational Research Society, 35(2): 141
Murdeshwar, T.M. (1988) Inventory replenishment policies for linearly increasing demand considering shortages. Journal of Operational Research Society, 39 687-692
Ritchie, E., Tsado, A. (1986) Penalties of using EOQ: A comparison of lot-sizing rules for linearly increasing demand. Production and Inventory Management, 27(3) 65-79
Ritchie, E. (1980) Practical inventory replenishment policies for a linear trend in demand followed by a period of steady demand. Journal of Operational Research Society, 31 605-613
Ritchie, E. (1984) The EOQ for linear increasing demand, a simple solution. Journal of the Operational Research Society, vol. 35, 949-952
Ritchie, E., Tsado, A. (1985) Stock replenishment quantities for unbounded linear increasing demand: An interesting consequence of the optimal policy. Journal of the Oprational Research Society, 36 (8) 737-739
Silver, E.A. (1979) A simple inventory replenishment decision rule for a linear trend in demand. Journal of the Operational Research Society, vol. 30, 71-75
Silver, E.A., Meal, H.C. (1979) A simple modification of the EOQ for the case of a varying demand rate. Production and Inventory Management, 10, 4, 52-56
Teng, J. (1996) A deterministic inventory replenishment model with a linear trend in demand. Operations Research Letters, 19(1): 33-41
Wee, H.M. (1995) A deterministic lot-size inventory model for deteriorating items with shortages and a declining market. Computers and Operations Research, vol. 22, str. 345-356
Yan, H., Cheng, T.E.C. (1998) Optimal production stopping and restarting times for an EOQ model with deteriorating items. J Oper Res Soc, Vol. 49, 1288-1295
Zhou, Y.W. (1995) A production-Inventory model for a finite time horizon with linear trend in demand and shortages. Systems Engineering Theory and Practice, 5, 1405-1417
Zhou, Y.W. (1996) Optimal production policy for an item with shortages and increasing timevaring demand. Journal of the Operational Research Society, 47, 1175-1183
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