Two-warehouse inventory model for deteriorating items with price-sensitive demand and partially backlogged shortages under inflationary conditions

Jaggi, C.; Pareek, S.; Khanna, A.; Sharma, R.

Growing Science » International Journal of Industrial Engineering Computations » Two-warehouse inventory model for deteriorating items with price-sensitive demand and partially backlogged shortages under inflationary conditions

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print) Quarterly Publication Volume 6 Issue 1 pp. 59-80 , 2015

Two-warehouse inventory model for deteriorating items with price-sensitive demand and partially backlogged shortages under inflationary conditions Pages 59-80 Download PDF

Authors: Chandra K. Jaggi, Sarla Pareek, Aditi Khanna, Ritu Sharma

DOI: 10.5267/j.ijiec.2014.9.001

Keywords:

Abstract: In today’s competition inherited business world, managing inventory of goods is a major challenge in all the sectors of economy. The demand of an item plays a significant role while managing the stock of goods, as it may depend on several factors viz., inflation, selling price, advertisement, etc. Among these, selling price of an item is a decisive factor for the organization; because in this competitive world of business one is constantly on the lookout for the ways to beat the competition. It is a well-known accepted fact that keeping a reasonable price helps in attracting more customers, which in turn increases the aggregate demand. Thus in order to improve efficiency of business performance organization needs to stock a higher inventory, which needs an additional storage space. Moreover, in today’s unstable global economy there is consequent decline in the real value of money, because the general level of prices of goods and services is rising (i.e., inflation). And since inventories represent a considerable investment for every organization, it is inevitable to consider the effects of inflation and time value of money while determining the optimal inventory policy. With this motivation, this paper is aimed at developing a two-warehouse inventory model for deteriorating items where the demand rate is a decreasing function of the selling price under inflationary conditions. In addition, shortages are allowed and partially backlogged, and the backlogging rate has been considered as an exponentially decreasing function of the waiting time. The model jointly optimizes the initial inventory and the price for the product, so as to maximize the total average profit. Finally, the model is analysed and validated with the help of numerical examples, and a comprehensive sensitivity analysis has been performed which provides some important managerial implications.

How to cite this paper

 Jaggi, C., Pareek, S., Khanna, A & Sharma, R. (2015). Two-warehouse inventory model for deteriorating items with price-sensitive demand and partially backlogged shortages under inflationary conditions.International Journal of Industrial Engineering Computations , 6(1), 59-80.

Refrences

Abad, P. L. (1996). Optimal pricing and lot-sizing under conditions of perishability and partial backordering. Management Science, 42(8), 1093-1104.

Aggarwal, S. P., & Jaggi, C. K. (1989). Ordering policy for decaying inventory.International Journal of Systems Science, 20(1), 151-155.

Bierman, H., & Thomas, J. (1977). Inventory decisions under inflationary conditions. Decision Sciences, 8(1), 151-155.

Buzacott, J. A. (1975). Economic order quantities with inflation. Operational research quarterly, 553-558.

Cohen, M. A. (1977). Joint pricing and ordering policy for exponentially decaying inventory with known demand. Naval Research Logistics Quarterly, 24(2), 257-268.

Dey, J. K., Mondal, S. K., & Maiti, M. (2008). Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money. European Journal of Operational Research, 185(1), 170-194.

Dye, C. Y., Ouyang, L. Y., & Hsieh, T. P. (2007). Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate. European Journal of Operational Research, 178(3), 789-807.

Hartley, R. V. (1976). Operations research: a managerial emphasis (Vol. 976). Goodyear.

Hsieh, T. P., Dye, C. Y., & Ouyang, L. Y. (2008). Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value. European Journal of Operational Research, 191(1), 182-192.

Jaggi, C. K., & Verma, P. (2008). Joint optimization of price and order quantity with shortages for a two-warehouse system. Top, 16(1), 195-213.

Jaggi, C. K., Aggarwal, K. K., & Goel, S. K. (2006). Optimal order policy for deteriorating items with inflation induced demand. International Journal of Production Economics, 103(2), 707-714.

Jaggi, C. K., Aggarwal, K. K., & Verma, P. (2010). Inventory and pricing strategies for deteriorating items with limited capacity and time-proportional backlogging rate. International Journal of Operational Research, 8(3), 331-354.

Jaggi, C. K., Khanna, A., & Verma, P. (2011). Two-warehouse partial backlogging inventory model for deteriorating items with linear trend in demand under inflationary conditions. International Journal of Systems Science, 42(7), 1185-1196.

Jaggi, C. K., Khanna, A., Pareek, S., & Sharma, R. (2013). Ordering Policy in a Two-Warehouse Environment for Deteriorating Items with Shortages under Inflationary Conditions. International Journal of Strategic Decision Sciences (IJSDS), 4(2), 27-47.

Jaggi, C. K., Pareek, S., Verma, P., & Sharma, R. (2013). Ordering policy for deteriorating items in a two-warehouse environment with partial backlogging.International Journal of Logistics Systems and Management, 16(1), 16-40.

Jaggi, C. K., Pareek, S., Khanna, A., & Sharma, R. (2014). Credit financing in a two-warehouse environment for deteriorating items with price-sensitive demand and fully backlogged shortages. Applied Mathematical Modelling.

Jaggi, C. K., & Verma, P. (2010). A deterministic order level inventory model for deteriorating items with two storage facilities under FIFO dispatching policy. International Journal of Procurement Management, 3(3), 265-278.

Lee, C. C. (2006). Two-warehouse inventory model with deterioration under FIFO dispatching policy. European Journal of Operational Research, 174(2), 861-873.

Lee, C. C., & Hsu, S. L. (2009). A two-warehouse production model for deteriorating inventory items with time-dependent demands. European Journal of Operational Research, 194(3), 700-710.

Mukhopadhyay, S., Mukherjee, R. N., & Chaudhuri, K. S. (2004). Joint pricing and ordering policy for a deteriorating inventory. Computers & Industrial Engineering, 47(4), 339-349.

Mukhopadhyay, S., Mukherjee, R. N., & Chaudhuri*, K. S. (2005). An EOQ model with two-parameter Weibull distribution deterioration and price-dependent demand. International Journal of Mathematical Education in Science and Technology, 36(1), 25-33.

Niu, B., & Xie, J. (2008). A note on “Two-warehouse inventory model with deterioration under FIFO dispatch policy”. European Journal of Operational Research, 190(2), 571-577.

Rong, M., Mahapatra, N. K., & Maiti, M. (2008). A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time. European Journal of Operational Research, 189(1), 59-75.

Sarma, K. V. S. (1983). A deterministic inventory model with two levels of storage and an optimum release rule. Opsearch, 20(3), 175-180.

Shah, N. H., & Shukla, K. T. (2009). Deteriorating inventory model for waiting time partial backlogging. Applied Mathematical Sciences, 3(9), 421-428.

Wee, H. M. (1997). A replenishment policy for items with a price-dependent demand and a varying rate of deterioration. Production Planning & Control, 8(5), 494-499.

Wee, H. M. (1999). Deteriorating inventory model with quantity discount, pricing and partial backordering. International Journal of Production Economics, 59(1), 511-518.

Yang, H. L. (2004). Two-warehouse inventory models for deteriorating items with shortages under inflation. European Journal of Operational Research, 157(2), 344-356.

Yang, H. L. (2006). Two-warehouse partial backlogging inventory models for deteriorating items under inflation. International Journal of Production Economics, 103(1), 362-370.

Yang, H. L. (2012). Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation. International Journal of Production Economics, 138(1), 107-116.