An inventory model for deteriorating items with inventory-dependent and linear trend demand under trade credit

One of the important issues in inventory management is permissible delay in payments. previous inventory lot-size models allowing permissible delay in payments implicitly assumed that the demand rate is constant and inventory-dependent. however, this paper, unlike most existing models, this paper develops an economic order quantity (eoq) model for deteriorating items with a current inventory-dependent and linearly increasing time-varying demand under trade credit, which fits a more general inventory feature. an ecient solution procedure is shown to determine the optimal replenishment cycle of the model. furthermore, this study deduces some previously published results as special cases of the proposed model. finally, numerical examples are presented to illustrate the optimization procedure, and a sensitivity analysis is performed for changes in the parameters to obtain important and relevant findings on managerial implication.