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 a limited lifecycle. To introduce this possibility, multiple orders and partial backlogging policies are established under trade credit in an inventory model, where demand is a time-varying function and the backlogging rate is a decreasing function about a customer's waiting time. This paper presents lemmas and theories to determine optimal replenishment time and backlogging time to maximize total profit for the retailer. A search algorithm to solve the optimal order strategy is proven based on the theoretical results. Numerical examples are presented, and the optimal order strategy is obtained. A sensitivity analysis of the main parameters is carried out. The effects of total profit on the main parameter of trade credit are analyzed from both macroscopic and microscopic perspectives.