Abstract

Inflation is considered as one of the required conditions for inventory model because the economic factor affect so many factors like rate of investment, demand level, labor cost, cost of raw material, rate of unemployment, productivity level, tax, liquidity etc. Here an inventory model for economic order quantity has been developed for the items having a variable holding cost with ramp type demand and inflation. The objective is to find out the retailer’s optimal inventory policy that maximize/minimize the total profit cost. Mathematical illustration of the result with the help of a numerical example has been shown. Sensitivity analysis is also provided to check the stability of this model.

Author

Anjali Gaur, S.R.Singh and Dipti Singh   ( Pages 103-133 )
Email:anjaligaur2007@gmail.com
Affiliation: Department of Mathematics, Chandigarh University, Chandigarh, India      DOI:

Keyword

Ramp Type Demand; Trade Credit Period; Variable holding cost; Inflation; Partial Backlogging

References

Bahari-Kashani, H. (1989). Replenishment schedule for deteriorating items with time-proportional demand. Journal of the operational research society, 75-81.

Geetha, K. V., & Uthayakumar, R. (2010). Economic design of an inventory policy for non-instantaneous deteriorating items under permissible delay in payments. Journal of computational and applied mathematics, 233(10), 2492-2505.

Goyal, S. K. (1985). Economic order quantity under conditions of permissible delay in payments. Journal of the operational research society, 335-338.

Goyal, S. K., Singh, S. R., & Dem, H. (2013). Production policy for ameliorating/deteriorating items with ramp type demand. International Journal of Procurement Management, 6(4), 444-465.

Hill, R. M. (1995). Inventory models for increasing demand followed by level demand. Journal of the Operational Research Society, 46(10), 1250-1259. 

Jalan, A. K., Giri, R. R., & Chaudhuri, K. S. (1996). EOQ model for items with Weibull distribution deterioration, shortages and trended demand. International Journal of Systems Science, 27(9), 851-855.

Jamal, A. M. M., Sarker, B. R., & Wang, S. (1997). An ordering policy for deteriorating items with allowable shortage and permissible delay in payment. Journal of the Operational Research Society, 48(8), 826-833.

Khurana, D., Pundir, S. R., & Tayal, S. (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.

Mandal, B., & Pal, A. K. (1998). Order level inventory system with ramp type demand rate for deteriorating items. Journal of interdisciplinary Mathematics, 1(1), 49- 66.

Panda, S., Saha, S., & Basu, M. (2007). An EOQ model with generalized ramptype demand and Weibull distribution deterioration. Asia-Pacific Journal of Operational Research, 24(01), 93-109. 

Pandey, R., Singh, S., Vaish, B., & Tayal, S. (2017). An EOQ model with quantity incentive strategy for deteriorating items and partial backlogging. Uncertain Supply Chain Management, 5(2), 135-142.

Rastogi, M., Singh, S., Kushwah, P., & Tayal, S. (2017). An EOQ model with variable holding cost and partial backlogging under credit limit policy and cash discount. Uncertain Supply Chain Management, 5(1), 27-42.

Shah, Y. K., & Jaiswal, M. C. (1977). An order-level inventory model for a system with constant rate of deterioration. Opsearch, 14(3), 174-184.

Singh, S. R., & Singh, C. (2010). Supply chain model with stochastic lead time under imprecise partially backlogging and fuzzy ramp-type demand for expiring items. International Journal of Operational Research, 8(4), 511-522.

Singh, S. R., Rastogi, M., & Tayal, S. (2016). An Inventory Model for Deteriorating Items Having Seasonal and Stock-Dependent Demand with Allowable Shortages. In Proceedings of fifth international conference on soft computing for problem solving (pp. 501- 513). Springer, Singapore.

Singh, S., Khurana, D., & Tayal, S. (2016). 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

Tayal, S., Singh, S. R., & Sharma, R. (2014). A multi item inventory model for deteriorating items with expiration date and allowable shortages. Indian Journal of Science and Technology, 7(4), 463.

Tayal, S., Singh, S. R., & Sharma, R. (2016). An integrated production inventory model for perishable products with trade credit period and investment in preservation technology. International Journal of Mathematics in Operational Research, 8(2), 137-163.

Tayal, S., Singh, S. R., Chauhan, A., & Sharma, R. (2014). A deteriorating production inventory problem with space restriction. Journal of Information and Optimization Sciences, 35(3), 203-229.

Tayal, S., Singh, S. R., Sharma, R., & Chauhan, A. (2014). 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.

Tayal, S., Singh, S. R., Sharma, R., & Singh, A. P. (2015). 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.

Tayal, S., Singh, S., & Sharma, R. (2015). An inventory model for deteriorating items with seasonal products and an option of an alternative market. Uncertain Supply Chain Management, 3(1), 69-86.

Teng, J. T. (2002). On the economic order quantity under conditions of permissible delay in payments. Journal of the operational research society, 53(8), 915-918. 

Tyagi, A. P., Pandey, R. K., & Singh, S. (2014). An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and variable holding cost. International Journal of Operational Research, 21(4), 466-488