AUTHOR=Li Zhonghui , Chamchang Panida , Niu Lili , Mo Jiangtao 

TITLE=A multi-cycle inventory control model for deteriorating items with partial backlogging under trade credit

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=Volume 8 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2022.1005509

DOI=10.3389/fams.2022.1005509

ISSN=2297-4687

ABSTRACT=The finite horizon should be considered for products with limited life cycle. To introduce this possibility, multiple orders and partial backlogging policies are established under trade credit in an inventory model, where the demand is a time-varying function and the backlogging rate is a decreasing function about the customer’s waiting time. This paper presents lemmas and theories to determine the optimal replenishing time and the backlogging time to maximize the total profit for the retailer. A search algorithm for solving the optimal order strategy is proved on the basis of the theoretical results. Numerical examples are presented and the optimal order strategy is obtained. Sensitivity analysis of the main parameters is carried out. The effects of total profit on main parameter of trade credit is analysed from macroscopic and microscopic perspectives.