×

A note on an order-level inventory model for a deteriorating item with time-dependent quadratic demand. (English) Zbl 1047.90002

Summary: An order-level inventory problem is discussed with the demand rate being represented by a continuous, quadratic function of time. It is assumed that a constant fraction of the on-hand inventory deteriorates per unit of time. The solution of the model is discussed both for infinite and finite time-horizon. A numerical example is taken up to illustrate the solution procedure and sensitivity analysis is also carried out. The rationale for the time-dependent quadratic demand is discussed.

MSC:

90B05 Inventory, storage, reservoirs
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Wilson, R.H., A scientific routine for stock control, Harvard business review, 13, 116-128, (1934)
[2] Silver, E.A.; Meal, H.C., A simple modification of the EOQ for the case of a varying demand rate, Production and inventory management, 10, 4, 52-65, (1969)
[3] Donaldson, W.A., Inventory replenishment policy for a linear trend in demand—an analytical solution, Operational research quarterly, 28, 663-670, (1977) · Zbl 0372.90052
[4] Silver, E.A., A simple inventory replenishment decision rule for a linear trend in demand, Journal of operational research society, 30, 71-75, (1979) · Zbl 0397.90035
[5] Ritchie, E., 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, (1980) · Zbl 0434.90038
[6] Ritchie, E., The EOQ for linear increasing demanda simple optimal solution, Journal of operational research society, 35, 949-952, (1984) · Zbl 0546.90028
[7] Ritchie, E., Stock replenishment quantities for unbounded linear increasing demandan interesting consequence of the optimal policy, Journal of operational research society, 36, 737-739, (1985)
[8] Kicks, P.; Donaldson, W.A., Irregular demandassessing a rough and ready lot size formula, Journal of operational research society, 31, 725-732, (1980) · Zbl 0439.90025
[9] Buchanan, J.T., Alternative solution methods for the inventory replenishment problem under increasing demand, Journal of operational research society, 31, 615-620, (1980) · Zbl 0434.90039
[10] Mitra, A.; Fox, J.F.; Jessejr, R.R., A note on determining order quantities with a linear trend in demand, Journal of operational research society, 35, 141-144, (1984) · Zbl 0528.90020
[11] Ritchie, E.; Tsado, A., Penalties of using eoqa comparison of lot-sizing rules for linearly increasing demand, Production and inventory management, 27, 3, 65-79, (1986)
[12] Goyal, S.K., On improving replenishment policies for linear trend in demand, Engineering costs and production economics, 10, 73-76, (1986)
[13] Goyal, S.K.; Kusy, M.; Soni, R., A note on the economic order intervals for an item with linear trend in demand, Engineering costs and production economics, 10, 253-255, (1986)
[14] Deb, M.; Chaudhuri, K., A note on the heuristic for replenishment of trended inventories considering shortages, Journal of operational research society, 38, 459-463, (1987) · Zbl 0612.90020
[15] Murdeshwar, T.M., Inventory replenishment policies for linearly increasing demand considering shortages, Journal of operational research society, 39, 687-692, (1988) · Zbl 0649.90045
[16] Dave, U., On a heuristic inventory replenishment rule for items with a linearly increasing demand incorporating shortages, Journal of operational research society, 40, 827-830, (1989) · Zbl 0677.90021
[17] Goyal, S.K., A heuristic for replenishment of trended inventories considering shortages, Journal of operational research society, 39, 885-887, (1988)
[18] Hariga, M., Optimal EOQ models for deteriorating items with time-varying demand, Journal of operational research society, 47, 1228-1246, (1996) · Zbl 0871.90028
[19] Goyal, S.K.; Morin, D.; Nebebe, F., The finite horizon trended inventory replenishment problem with shortages, Journal of operational research society, 43, 1173-1178, (1992) · Zbl 0762.90021
[20] Dave, U.; Patel, L.K., (T,si) policy inventory model for deteriorating items with time proportional demand, Journal of operational research society, 32, 137-142, (1981) · Zbl 0447.90020
[21] Bahari-Kashani, H., Replenishment schedule for deteriorating items with time-proportional demand, Journal of operational research society, 40, 75-81, (1989) · Zbl 0669.90033
[22] Hong, J.D.; Sandrapaty, R.R.; Hayya, J.C., On production policies for a linearly increasing demand and finite, uniform production rate, Computers in industrial engineering, 18, 2, 119-127, (1990)
[23] Chung, K.J.; Ting, P.S., A heuristic for replenishment of deteriorating items with a linear trend in demand, Journal of operational research society, 44, 12, 1235-1241, (1993) · Zbl 0797.90016
[24] Goswami, A.; Chaudhuri, K.S., An EOQ model for deteriorating items with a linear trend in demand, Journal of operational research society, 42, 12, 1105-1110, (1991) · Zbl 0741.90015
[25] Hariga, M., An EOQ model for deteriorating items with shortages and time-varying demand, Journal of operational research society, 46, 398-404, (1995) · Zbl 0836.90068
[26] Giri, B.C.; Goswami, A.; Chaudhuri, K.S., An EOQ model for deteriorating items with time varying demand and costs, Journal of operational research society, 47, 1398-1405, (1996) · Zbl 0871.90026
[27] Teng, J.T., A deterministic inventory replenishment model with a linear trend in demand, Operations research letters, 19, 33-41, (1996) · Zbl 0865.90038
[28] Jalan, A.K.; Giri, R.R.; Chaudhuri, K.S., EOQ model for items with Weibull distribution deterioration, shortages and trended demand, International journal of systems science, 27, 9, 851-855, (1996) · Zbl 0860.90050
[29] Chakrabarty, T.; Giri, B.C.; Chaudhuri, K.S., An EOQ model for items with Weibull distribution deterioration, shortages and trended demandan extension of Philip’s model, Computer and operations research, 25, 7/8, 649-657, (1998) · Zbl 1042.90504
[30] Lin, C.; Tan, B.; Lee, W.C., An EOQ model for deteriorating items with time-varying demand and shortages, International journal of systems science, 31, 3, 391-400, (2000) · Zbl 1080.93574
[31] Jalan, A.K.; Chaudhuri, K.S., Structural properties of an inventory system with deterioration and trended demand, International journal of systems science, 30, 6, 627-633, (1999) · Zbl 1033.90500
[32] Goyal, S.K.; Hariga, M.A.; Alyan, A., The trended inventory lot sizing problem with shortages under a new replenishment policy, Journal of operational research, 47, 1286-1295, (1996) · Zbl 0863.90053
[33] Chakrabarti, T.; Chaudhuri, K.S., 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, (1997)
[34] Chakraborty, T.; Giri, B.C.; Chaudhuri, K.S., A heuristic for replenishment of deteriorating items with time-varying demand and shortages in all cycles, International journal of systems science, 29, 6, 551-555, (1998)
[35] Giri, B.C.; Chakraborty, T.; Chaudhuri, K.S., A note on a lot sizing heuristic for deteriorating items with time-varying demands and shortages, Computer and operations research, 27, 495-505, (2000) · Zbl 0955.90005
[36] Hariga, M.A.; Benkherouf, L., Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand, European journal of operational research, 79, 123-137, (1994) · Zbl 0812.90039
[37] Wee, H.M., A deterministic lot-size inventory model for deteriorating items with shortages and a declining market, Computer and operations research, 22, 3, 345-356, (1995) · Zbl 0827.90050
[38] Jalan, A.K.; Chaudhuri, K.S., An EOQ model for deteriorating items in a declining market with SFI policy, Korean journal of computational and applied mathematics, 6, 2, 437-449, (1999) · Zbl 0940.90006
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.