In this paper, we developed a time dependent deteriorating inventory model with ramp type demand. Deterioration rate is taken as two parameters Weibull distribution. In this study, a more realistic scenario was assumed where part of the shortage was backordered and the rest was lost with time dependent backlogging rate. The environment of the whole study has been taken as inflationary. The whole combination of the setup is very unique and more practical. Finally, numerical example is presented to demonstrate the developed model and the solution procedure.

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References

1. Abad, P.L. (2001), “Optimal price and order size for a reseller under partial backordering”, Computers and Operations Research, 28, 53-65.
2. Deng, P.S., Lin, R.H.J. and Chu, P. (2007), “A note on the inventory models for deteriorating items with ramp type demand”, European Journal of Operational Research, 178, 112-120.
3. Giri, B.C., Jalan, A.K., Chaudhuri, K.S. (2003), “Economic Order Quantity model with Weibull deterioration distribution, shortage and ramp-type demand”, International Journal of Systems Science, 34 (4), 237-243.
4. Hill, R.M. (1995), “Optimal EOQ models for deteriorating items with time-varying demand”, Journal of the Operational Research Society, 47, 1228-1246.
5. Mandal, B. and Pal, A.K. (1998), “Order level inventory system with ramp type demand rate for deteriorating items”, Journal of interdisciplinary Mathematics, 1, 49-66.
6. Manna, S.K., Chaudhuri, K.S. (2006), “An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages”, European Journal of Operational Research, 171, 557-566.
7. San Jose, L.A., Sicilia, J. and Laguna, J.G. (2006), “Analysis of an inventory system with exponential partial backordering”, International Journal of Production Economics, 100(1), 76- 86.
8. S.R. Singh & T.J. Singh(2007), “An EOQ inventory model with Weibull distribution deterioration, ramp type demand and partial backlogging”, Indian Journal of Mathematics and Mathematical Science, 3, 2, 127-137.
9. Skouri, K. and Papachristos, S. (2002), “A continuous review inventory model, with deteriorating items, time-varying demand, and linear replenishment cost, partially time varying backlogging”, Applied Mathematical Modelling, 26(5), 603-617.
10. J.W. Wu, C. Lin, B. Tan, W.C. Lee (1999), “An EOQ model with ramp type demand rate for items with Weibull deterioration”, International Journal of Information and Management Sciences 10, 41–51.
11. Wu, K.S., Ouyang, L. Y. (2000), “A replenishment policy for deteriorating items with ramp type demand rate for deteriorating items”, The Proceedings of the National Science council, Part A: Physical Science Engineering, 24(4), 279-286.
12. K.S. Wu (2001), “An EOQ model for items with Weibull distribution deterioration, ramp–type demand and partial backlogging”, Production Planning and Control 12, 787-793
13. Teng, J.T. and Yang, H.L. (2004), “Deterministic economic order quantity models with partial backlogging when demand and cost are fluctuating with time”, Journal of the Operational Research Society, 55(5), 495-503.
14. Wang, S.P. (2002), “An inventory replenishment policy for deteriorating items with shortages and partial backlogging”, Computers and Operational Research, 29, 2043-2051.
15. Wu, K.S., Ouyang, L.Y. and Yang, C.T. (2006), “An optimal replenishment policy for noninstantaneous deteriorating items with stock dependent demand and partial backlogging”, International Journal of Production Economics, 101, 369-384.

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