In this paper, an economic order
quantity (EOQ) model is developed for deteriorating items with linear demand
pattern and variable deterioration rate. Shortages are allowed and partially
backlogged. The backlogging rate is variable and dependent on the waiting time for
the next replenishment. The objective of the model is to develop an optimal policy
that minimizes the average total cost. The numerical example is used to illustrate the developed
model. Sensitivity analysis of the optimal solution with respect to various parameters is carried out.
Cite this paper
T. Singh and H. Pattnayak, "An EOQ Model for Deteriorating Items with Linear Demand, Variable Deterioration and Partial Backlogging," Journal of Service Science and Management, Vol. 6 No. 2, 2013, pp. 186-190. doi: 10.4236/jssm.2013.62019.
 P. M. Ghare and G. H. Schrader, “A Model for Exponentially Decaying Inventory Systems,” International Journal of Production and Research, Vol. 21, 1963, pp. 449-460.
 R. B. Covert and G. S. Philip, “An EOQ Model with Weibull Distribution Deterioration,” AIIE Transactions, Vol. 5, No. 4, 1973, pp. 323-326.
 Y. K. Shah and M. C. Jaiswal, “An Order-Level Inventory Model for a System with Constant Rate of Deteriora tion,” Opsearch, Vol. 14, No. 3, 1977, pp. 174-184.
 S. P. Aggarwal, “A Note on an Order-Level Model for a System with Constant Rate of Deterioration,” Opsearch, Vol. 15, No. 4, 1978, pp. 184-187.
 U. Dave and L. K. Patel, “(T, Si) Policy Inventory Model for Deteriorating Items with Time-Proportional Demand,” Journal of the Operational Research Society, Vol. 32, No. 2, 1981, pp. 137-142. doi:10.1057/jors.1981.27
 R. S. Sachan, “On (T, Si) Policy Inventory Model Deteriorating Items with Time Proportional Demand,” Journal of Operational Research Society, Vol. 35, No. 11, 1984, pp. 1013-1019. doi:10.1057/jors.1984.197
 R. H. Hollier and K. L. Mak, “Inventory Replenishment Policies for Deteriorating Items in a Declining Market,” International Journal of Production Research, Vol. 21, No. 6, 1983, pp. 813-826.
 M. Hariga and L. Benkherouf, “Optimal and Heuristic Replenishment Models for Deteriorating Items with Exponential Time Varying Demand,” European Journal of Operational Research, Vo. 79, No. 1, 1994, pp. 123-137.
 H. M. Wee, “A Deterministic Lot Size Inventory Model for Deteriorating Items with Shortages and a Declining Market,” Computers and Operations Research, Vol. 22, No. 3, 1995, pp. 345-356.
 H. M. Wee, “JOINT pricing and Replenishment Policy for Deteriorating Inventory with Declining Market,” International Journal of Production Economics, Vol. 40, No. 2-3, 1995, pp. 163-171.
 S. K. Goyal and B. C. Giri, “Recent Trends in Modeling of Deteriorating Inventory,” European Journal of Operational Research, Vol. 134, No. 1, 2001, pp. 1-16.
 G. C. Philip, “A Generalized EOQ Model for Items with Weibull Distribution,” AIIE Transactions, Vol. 6, No. 2, 1974, pp. 159-162. doi:10.1080/05695557408974948
 H. J. Chang and C. Y. Dye, “An EOQ Model for Deterio rating Items with Time Varying Demand and Partial Back logging,” Journal of the Operational Research Society, Vol. 50, No. 11, 1999, pp. 1176-1182.
 L. Y. Ouyang, K. S. Wu and M. C. Cheng, “An Inventory Model for Deteriorating Items with Exponential Declining Demand and Partial Backlogging,” Yugoslav Journal of Operations Research, Vol. 15, No. 2, 2005, pp. 277-288. doi:10.2298/YJOR0502277O