Title: An inventory model for deteriorating items with preservation facility of ramp type demand and trade credit

Authors: Ali Akbar Shaikh; Gobinda Chandra Panda; Md. Al-Amin Khan; Abu Hashan Md. Mashud; Amiya Biswas

Addresses: School of Engineering and Sciences, Tecnológico de Monterrey, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, México; Department of Mathematics, Sripat Singh College, Jiaganj, Murshidabad, 742123, India ' Department of Mathematics, Mahavir Institute of Engineering and Technology, BBSR, India ' Department of Mathematics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh ' Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur-5200, Bangladesh ' Department of Mathematics, A.B.N. Seal College, Coochbihar, 736101, India

Abstract: In this paper, we have described an inventory model for a deteriorating item having preservation facility with trade credit policy. The demand for this inventory model is ramp type. Shortages are allowed due to the waiting time for the arrival of next lot. In this paper, we have described two inventory models due to ramp type demand. We have solved these two inventory models by using a separate numerical example. We have supplied concavity of the objective function for each model (winner case). Finally, we performed sensitivity analysis for each model and made a conclusion accordingly.

Keywords: EOQ model; deterioration; preservation; ramp type demand; trade credit; partial backlogging.

DOI: 10.1504/IJMOR.2020.110895

International Journal of Mathematics in Operational Research, 2020 Vol.17 No.4, pp.514 - 551

Accepted: 02 Jul 2019
Published online: 30 Oct 2020 *

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