An Inventory Model for Two Storage System with Stock Dependent Demand

Amit Kumar Attri*, S. R. Singh**, Shweta Choudhary***
* Assistant Professor, Department of Mathematics, Delhi Technical Campus, Greater Noida, Uttar Pradesh, India.
** Professor, Department of Mathematics, CCS University Meerut, Uttar Pradesh, India.
*** Associate Professor and Head, Department of Applied Sciences, ABES Engineering College,.Dr. A. P. J. Abdul Kalam Technical University, Ghaziabad, Uttar Pradesh, India.
Periodicity:July - September'2018
DOI : https://doi.org/10.26634/jmat.7.3.14668

Abstract

In this paper an inventory model to find out the buyer's optimal policy with two storage system has been developed. The buyer purchases a lot of Q units and transfers this stock in the display area in n equal lots. The demand considered here is a function of displayed stock level. The objective of this model is to optimize the total average cost for the buyer and find out the optimal number of shipments. A numerical example is presented to illustrate this study. The sensitivity analysis presented here shows that the model is quite stable and reflects the real life marketing situations.

Keywords

Inventory, Stock Dependent Demand, Two Storage System, Deterioration.

How to Cite this Article?

Attri, A. K., Singh, S. R., & Choudhary, S. (2018). An Inventory Model for Two Storage System with Stock Dependent Demand, i-manager's Journal on Mathematics, 7(3), 42-50. https://doi.org/10.26634/jmat.7.3.14668

References

[1]. Baker, R. A., & Urban, T. L. (1988). A deterministic inventory system with an inventory-level-dependent demand rate. Journal of the Operational Research Society, 39(9), 823-831.
[2]. Covert, R. P., & Philip, G. C. (1973). An EOQ model for items with Weibull distribution deterioration. AIIE Transactions, 5(4), 323-326.
[3]. Datta, T., & Pal, A. (1990). A Note on an Inventory Model with Inventory-Level-Dependent Demand Rate. The Journal of the Operational Research Society, 41(10), 971-975. doi:10.2307/2583275.
[4]. Ghare P. M., & Schrader G. F. (1963). A model for exponentially decaying inventory. Journal of Industrial Engineering, 14, 238-243.
[5]. Goswami, A., & Chaudhuri, K. S. (1992). An economic order quantity model for items with two levels of storage for a linear trend in demand. Journal of the Operational Research Society, 43(2), 157-167.
[6]. Hartely V. R. (1976). Operations Research - A Managerial Emphasis, Good Year Publishing Company, California.
[7]. Kang, S., & Kim, I. T. (1983). A study on the price and production level of the deteriorating inventory system. International Journal of Production Research, 21, 449-460.
[8]. Kar, S., Bhunia, A. K., & Maiti, M. (2001). Deterministic inventory model with two levels of storage, a linear trend in demand and a fixed time horizon. Computers & Operations Research, 28(13), 1315-1331.
[9]. Khurana, D., Pundir, S. R., & Tayal. (2015). A Supply Chain Production Inventory Model for Deteriorationg Product with Stock Dependent Demand under Inflationary Environment and Partial Backlogging. International Journal of Computer Applications, 131(1), 6-12.
[10]. Kumar, N., & Singh, S. R. (2009). Two-warehouse inventory model with stock-dependent demand for deteriorating items with shortages., The IUP Journal of Computational Mathematics, 2(3), 7-23.
[11]. Maity, K., & Maiti, M. (2005). Production inventory system for deteriorating multi-item with inventory-dependent dynamic demands under inflation and discounting. Tamsui Oxford Journal of Management Science, 21(1), 1-18.
[12]. Mandal, B. A., & Phaujdar, S. (1989). An inventory model for deteriorating items and stock-dependent consumption rate. Journal of the Operational Research Society, 40(5), 483-488.
[13]. Sarker, B. R., Mukherjee, S., & Balan, C. V. (1997). An order-level lot size inventory model with inventory-level dependent demand and deterioration. International Journal of Production Economics, 48(3), 227-236.
[14]. Sarma, K. V. S. (1983). A deterministic inventory model with two levels of storage and an optimal release rule. Opsearch, 20, 175-180.
[15]. Singh, S. R., Kumar, N., & Kumari, R. (2008). Two-Warehouse inventory model for deteriorating items with partial backlogging under the conditions of permissible delay in payments. International Transactions in Mathematical Sciences & Computer, 1(1), 123-134.
[16]. Singh, S. R., Rastogi, M., & Tayal, S (2015). A supply chain production inventory model for deteriorating product with stock dependent demand under inflationary environment and partial backlogging. International Journal of Computer Applications, 131 (1), 6-12.
[17]. Singh, S., Khurana, D., & Tayal, S. (2016a). An economic order quantity model for deteriorating products having stock dependent demand with trade credit period and preservation technology. Uncertain Supply Chain Management, 4(1), 29- 42.
[18]. Singh, S. R., Rastogi, M., & Tayal, S. (2016b). An inventory model for deteriorating items having seasonal and stockdependent demand with allowable shortages. In Proceedings of Fifth International Conference on Soft Computing for Problem Solving, pp. 501-513, Springer, Singapore.
[19]. Tayal, S., Singh, S. R., Chauhan, A., & Sharma, R. (2014a). A deteriorating production inventory problem with space restriction. Journal of Information and Optimization Sciences, 35(3), 203-229.
[20]. Tayal, S., Singh, S. R., Sharma, R., & Chauhan, A. (2014b). Two echelon supply chain model for deteriorating items with effective investment in preservation technology. International Journal of Mathematics in Operational Research, 6(1), 84- 105.
[21]. Tayal, S., Singh, S., & Sharma, R. (2015a). An inventory model for deteriorating items with seasonal products and an option of an alternative market. Uncertain Supply Chain Management, 3(1), 69-86.
[22]. Tayal, S., Singh, S. R., Sharma, R., & Singh, A. P. (2015b). An EPQ model for non-instantaneous deteriorating item with time dependent holding cost and exponential demand rate. International Journal of Operational Research, 23(2), 145- 162.
[23]. Wee, H. M. (1995). Joint pricing and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economics, 40(2-3), 163-171.
[24]. Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2006). An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. International Journal of Production Economics, 101(2), 369-384.
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