Decision support model for perishable items impacting ramp type demand in a discounted retail supply chain environment

P.K. Tripathy; Sujata Sukla

doi:10.2298/YJOR170615016T

Authors

P.K. Tripathy Utkal University, P.G. Department of Statistics, Bhubaneswar, India
Sujata Sukla Utkal University, P.G. Department of Statistics, Bhubaneswar, India

DOI:

https://doi.org/10.2298/YJOR170615016T

Keywords:

EOQ model, ramp type demand, Heaviside's function, discounted selling price

Abstract

A single item EOQ model has been developed considering demand as a two parameter ramp type function and deterioration as a Heaviside's function. Both pre and post deterioration discounts are considered where the former helps in maintaining constancy in the demand rate and the latter one boosts the demand of decreased quality items. The starting time periods of pre and post deterioration discount have been determined. The effect of both types of discounts in optimising the profit is examined through numerical illustrations. Sensitivity analysis is also appended to find out the effect of various system parameters. From this study it is observed that it will be more advantageous for management to offer pre deterioration discount in enticing the profit.

References

Aggrawal, P., & Singh, T., "An EOQ model with ramp type demand rate, time dependent deterioration rate and shortages", Global Journal of Pure and Applied Mathematics, 13 (2017) 3381-3393.

Arya, D. D., & Kumar, M., "Supply chain model with ramp type demand under planning horizon", Indian Journal of Science and Technology, 8 (15) (2015) 1-8.

Chatterji, D., & Gothi, U. B., "EOQ model for deteriorating items under two and three parameter Weibull distribution and constant IHC with partially backlogged shortages", International Journal of Science, Engineering and Technology Research, 4 (10) (2015) 3581-3594.

Giri, B. C., Jalan, A. K., & Chaudhuri, K. S., "Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand", International Journal of Systems Science, 34 (4) (2003) 237-243.

Jain, S., & Kumar, M., "An EOQ inventory model for items with ramp type demand, three parameter Weibull distribution deterioration and starting with shortage", Yugoslav Journal of Operations Research, 20 (2) (2010) 249-259.

Karmakar, B., & Dutta Choudhury, K., "Inventory models with ramp-type demand for deteriorating items with partial backlogging and time-varying holding cost", Yugoslav Journal of Operations Research, 24 (2) (2014) 249-266.

Mishra, P. J., Singh, T., & Pattnayak, H., "An optimal policy with quadratic demand, three parameter Weibull distribution deterioration rate, shortages and salvage value", American Journal of Computational Mathematics, 6 (3) (2016) 200-211.

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

Panda, S., Senapati, S., & Basu, M., "Optimal replenishment policy for perishable seasonal products in a season with ramp type time dependent demand", Computers & Industrial Engineering, 54 (2008) 301-314.

Panda, S., Senapati, S., & Basu, M., "Optimal replenishment policy for perishable inventory model with time dependent quadratic ramp type demand and partial backlogging", International Journal of Operations Research, 5 (1) (2009) 110-129.

Panda, S., Saha, S., & Basu, M., "An EOQ model for perishable products with discounted selling price and stock dependent demand", CEJOR, 17 (2009) 31-53.

Sarkar, B., Sana, S. S., & Chaudhuri, K., "An inventory model with finite replenishment rate, trade credit policy and price discount demand", Journal of Industrial Engineering, 2013 (2013) 1-18.

Shah, N. H., & Raykundaliya, N., "Optimal ordering policy for deteriorating items under the delay in payments in demand declining market", Revista Investigacion Operacional, 31 (1) (2010) 34-44.

Shah, N. H., Jani, M. Y., & Shah, D. B., "Economic order quantity model under trade credit and customer returns for price sensitive quadratic demand", Revista Investigacion Operacional, 36 (3) (2015) 240-248.

Skouri, K., Konstantaras, L., Manna, S. K., & Chaudhuri, K. S., "Inventory model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortage", Annual Operations Research, 191 (2011) 73-95.

Sujatha, J., & Parvathi, P., "Fuzzy inventory model for deteriorating items with Weibull demand and varying holding cost under trade credit", International Journal of Innovative Research in Computer, 3 (11) (2015) 11110-11123.

Tripathy, P. K., & Pradhan, S., "An integrated partial backlogging inventory model having Weibull demand and variable deterioration rate with the effect of trade credit", International Journal of Scientific and Engineering Research, 2 (4) (2011) 01-05.

Tripathy, P. K., & Pradhan, S., "Retail category management model integrating entropic order quantity and trade credit", International Journal of Computer Science and Security, 1 (2) (2012) 27-39.

Tripathy, P. K., & Pradhan, S., "Inventory model for ramp type demand with trade credit under extraordinary purchase", IORS Journal of Mathematics, 2 (6) (2012) 01-09.

Decision support model for perishable items impacting ramp type demand in a discounted retail supply chain environment

Authors

DOI:

Keywords:

Abstract

References

Downloads

Published

Issue

Section

License