An Order Level Inventory Model for Deteriorating Items with Time – Quadratic Demand and Partial Backlogging

J. Jagadeeswari¹ and P. K. Chenniappan^2,

¹Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamilnadu, India

²Department of Mathematics, Government Arts College (Autonomous), Coimbatore, Tamilnadu, India

Cite this paper

J. Jagadeeswari and P. K. Chenniappan. An Order Level Inventory Model for Deteriorating Items with Time – Quadratic Demand and Partial Backlogging. Journal of Business and Management Sciences. 2014; 2(3A):17-20. doi: 10.12691/JBMS-2-3A-2

Abstract

In this paper, a deterministic inventory model is developed for deteriorating items in which shortages are allowed and partially backlogged. The backlogging rate is assumed to be dependent on the length of the waiting time for the next replenishment. The longer the waiting time is, the smaller the backlogging rate would be. The deterioration rate is constant and demand rate is assumed to be time quadratic. Numerical example and sensitivity analysis are evaluated for validating the proposed model.

Keywords

inventory, deteriorating items, shortages, time – quadratic demand, partial backlogging

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

[1]	Silver, E.A., Pyke, D.F. and Peterson, R. (1998). Inventory Management and Production Planning and Scheduling. John Wiley and Sons, New York.
[2]	Raafat, E. (1991). Survey of Literature on continuously deteriorating inventory model. Journal of Operational Research Society, 42: 27-37.
[3]	Chang, H.J. and Dye, C.Y. (1999). An EOQ model for deteriorating items with time varying demand and partial backlogging. Journal of Operational Research Society, 50: 1176-1182.
[4]	Goyal, S.K. and Giri, B.C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134: 1-16.
[5]	Teng, J.T. and Chang, C.T. (2005). Economic production quantity models for deteriorating items with price and stock dependent demand. Computers and Operational Research, 32: 297-308.
[6]	Singh, S.R. and Singh, T.J. (2007). An EOQ Inventory model with Weibull Distribution deterioration, Ramp type demand and Partial Backlogging. Indian Journal of Mathematics and Mathematical Sciences, 3 (2): 127-137.
[7]	Singh, T.J., Singh, S.R. and Dutt, R. (2009), An EOQ model for perishable items with power demand and partial backlogging, International Journal of Production Economics, 15 (1): 65-72.
[8]	You, S.P. (2005). Inventory policy for products with price and time dependent demands. Journal of Operational Research Society, 56: 870-873.
[9]	Pareek, S., Mishra, V.K. and Rani, S. (2009). An Inventory model for time dependent deteriorating item with salvage value and shortages. Mathematics today, 25: 31-39.
[10]	Hamid, B. (1989). Replenishment schedule for deteriorating items with time proportional demand. Journal of Operations Research Society, 40: 75-81.
[11]	Donaldson, W.A. (1979). Inventory replenishment policy for a linear trend in demand-an analytical solution. Operational Research Quarterly, 28: 663-670.
[12]	Dave, U. and Patel, L.K. (1981). (T, Si) policy inventory model for deteriorating items with time proportional demand. Journal of Operational Research Society, 32: 137-142.
[13]	Sachan, R.S. (1984). On (T, Si) inventory policy model for deteriorating items with time proportional demand. Journal of Operational Research Society, 35: 1013-1019.
[14]	Lin, C., Tan, B. and Lee, W.C. (2000). An EOQ model for deteriorating items with time-varying demand and shortages. International Journal of System Science, 31 (3): 390-400.
[15]	Hariga, M. (1996). Optimal EOQ models for deteriorating items with time-varying demand. Journal of Operational Research Society, 47: 1228-1246.