Optimal strategy on inventory model under permissible delay in payments and return policy for deteriorating items with shortages

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DOI:

https://doi.org/10.26637/mjm1201/006

Abstract

In this model, the manufacturer offers a trade credit policy to the retailer. Demand depends upon selling price and time for non-instantaneous deterioration items. The retailer offers the customer a returns policy. Customers can return the product to the retailer if the product is unsatisfactory for the customer. The retailer does not ultimately return the amount to its customer for the returned product. The manufacturer offers the retailer a trade credit policy. The retailer resale the returned products at the same selling price. A partially backlogged shortage is permitted and its rate is thought to depend on how long it takes for the following lot to arrive after a lot has been replenished. The main objective is to increase the retailers' overall profit by determining the optimal order quantity, optimal selling price, and optimal replenishment cycle. An EOQ is framed for analyzing the sample, which can obtain the optimal solution.

Keywords:

Non-instantaneous deteriorating items, Permissible delay in payments, resalable returns, Partial backlogging

Mathematics Subject Classification:

90B05
  • Pages: 71-84
  • Date Published: 01-01-2024
  • Vol. 12 No. 01 (2024): Malaya Journal of Matematik (MJM)

Duary, A., Das, S., Arif, M. G., Abualnaja, K. M., Khan, M. A. A., ZaKarya, M., & Shaikh, A. A, Advance and delay in payments with the price-discount inventory model for deteriorating items under capacity constraint and partially backlogged shortages, Alexandria Engineering Journal, 61(2)(2022), $1735-1745$. DOI: https://doi.org/10.1016/j.aej.2021.06.070

Geetha, K. V and Uthayakumar, R, Economic design of an inventory policy for non-instantaneous deteriorating items under permissible delay in payments, Journal of Computational and Applied Mathematics, 223(2010), 2492-2505. DOI: https://doi.org/10.1016/j.cam.2009.10.031

Ghoreishi, M And Mirzazadeh, Joint optimal pricing and inventory control for deteriorating items under inflation and customer returns, Journal of Industrial Engineering, 2013, 1-10.

Ghoreishi, M., Weber, G. W and Mirzazadeh, A, An inventory model for non-instantaneous deteriorating items with partial backlogging, permissible delay in payments, inflation-and selling pricedependent demand and customer returns, Annals of Operations Research, 226(1)(2015), 221-238. DOI: https://doi.org/10.1007/s10479-014-1739-7

Ghoreishi, M., Mirzazadeh, A and Weber, G. W, Optimal pricing and ordering policy for noninstantaneous deteriorating items under inflation and customer returns. Optimization, 2013, doi:10.1080/ 02331934.2013.853059. DOI: https://doi.org/10.1155/2013/709083

Jani, M. Y., Soni, V. M., & Betheja, M. R, Impact of customer returns and trade credit for deteriorating items with preservation technology investment under price-sensitive demand, Investigation Operational, 42(4)(2021), 540-551.

KUMARI, M AND DE, P. K, An EOQ model for deteriorating items analyzing retailer's optimal strategy under trade credit and return policy with nonlinear demand and resalable returns, An International Journal of Optimization and Control: Theories & Applications, 12(1)(2022), 47-55. DOI: https://doi.org/10.11121/ijocta.2022.1025

Maihami, R and Kamalabadi, I. N, Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand, International Journal of Production Economics, 136(1)(2012), 116-122. DOI: https://doi.org/10.1016/j.ijpe.2011.09.020

Mashud, A. H. M, An EOQ deteriorating inventory model with different types of demand and fully backlogged shortages, International Journal of Logistics Systems and Management, 36(1)(2020), 16-45. DOI: https://doi.org/10.1504/IJLSM.2020.107220

Musa, A And SAni, B, Inventory ordering policies of delayed deteriorating items under permissible delay in payments, International Journal of Production Economics, 136(2010), 75-83. DOI: https://doi.org/10.1016/j.ijpe.2011.09.013

Ouyang, L. Y., Wu, K. S And Yang, C. T, A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments, Computers and Industrial Engineering, 51(2006), $637-651$. DOI: https://doi.org/10.1016/j.cie.2006.07.012

Singh, R and Mishra, V. K, Sustainable Integrated Inventory Model for Substitutable Deteriorating Items Considering Both Transport and Industry Carbon Emissions, Journal of Systems Science and Systems Engineering, (2022), 1-21. DOI: https://doi.org/10.1007/s11518-022-5531-y

Sundararajan, R., Prabha, M and Jaya, R, An inventory model for non-instantaneous deteriorating items with multivariate demand and backlogging under inflation, Journal of Management Analytics, 6(3)(2019), 302-322. DOI: https://doi.org/10.1080/23270012.2019.1650671

Yang, C. T., Quyang, L. Y And Wu, H. H, Retailers optimal pricing and ordering policies for Noninstantaneous deteriorating items with price-dependent demand and partial backlogging, Mathematical Problems in Engineering, Volume 2009, Article ID 198305. DOI: https://doi.org/10.1155/2009/198305

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Published

01-01-2024

How to Cite

R. Uthayakumar, and A. Ruba Priyadharshini. “Optimal Strategy on Inventory Model under Permissible Delay in Payments and Return Policy for Deteriorating Items With Shortages”. Malaya Journal of Matematik, vol. 12, no. 01, Jan. 2024, pp. 71-84, doi:10.26637/mjm1201/006.