Ordering Policies of a Deteriorating Item in an EOQ Model under Upstream Partial Order-Quantity-Dependent Trade Credit and Downstream Full Trade Credit

In the classical inventory systems, the retailer had to settle the accounts of the purchased items at the time they were received. But in practice, the supplier applies some strategic tools, such as trade credit contract, to enhance his sales channel and offers delay period to his customers to settle the account. Any member of the supply chain may offer full or partial trade credit contract to his downstream level. Full trade credit is the case that the latter is allowed to defer the whole payment to the end of the credit period. In partial trade credit, however, the downstream supply chain member must pay for a proportion of the purchased goods at first and can delay paying for the rest until the end of the credit period. This paper considers a two-level trade credit, where the supplier offers order-quantity-dependent partial trade credit to a retailer, who suggests full trade credit to his customers. An economic order quantity (EOQ) inventory model of a deteriorating item is formulated here, and the Branch and Reduce Optimization Navigator is applied to find the optimal replenishment policy. The sensitivity of the variables on different parameters has been analyzed by applying some numerical examples. The data reveal that increasing the credit periods of the retailer and the customers can decrease and increase the retailer’s total cost, respectively.

Retailer’s Operational Decision Based on EOQ Model with Upstream Flexible Two-Part Trade Credit and Downstream Partial Trade Credit

Flexible two-part trade credit is widely used in supply chain, however, there is scant research about inventory management engaged in flexible two-part trade credit strategy. This paper bridges this gap and studies a new two-level trade credit based on an EOQ model in which the supplier provides flexible two-part trade credit to the retailer and the retailer provides partial trade credit to its customer. We adopt a convex optimization method to obtain retailer’s optimal operational decision (i.e., the optimal ordering cycle, the optimal fraction of purchase cost that paid in advance, and the optimal credit period for its downstream customer). Moreover, we design a numerical algorithm to solve this model computationally. We find that: (1) the retailer is not sensitive to small cash discount provided by the supplier; (2) the length of credit period in flexible two-part trade credit strategy will affect the customer and retailer: the shorter one influences the retailer’s behavior, but not the customer’s; the longer one influences the customer’s behavior, but not the retailer’s; (3) the retailer can control its risk through partial trade credit.

An economic production quantity (epq) model for a deteriorating item with partial trade credit policy for price dependent demand under inflation and reliability

It is well-known that the production-inventory problem for deteriorating items in the supply chain is a challenge when deciding on how many products to manufacture to obtain a maximum total profit. This research work develops an economic production quantity model for a deteriorating item under partial trade credit policy considering inflation, the effect of reliability factor of a production system, and the demand depending on the price of a product whose selling price is optimized. The production- inventory model is formulated as a nonlinearly constrained optimization problem by analyzing different cases. Finally, through a numerical example, a sensitivity analysis is performed so to study the effect of different parameters, changing one parameter at a time and keeping others fixed at their original values.

Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering

The situation where serviceable products are sold together with a proportion of deteriorating products to consumers is rarely discussed in the literature. This article proposes an inventory model with disparate inventory ordering policies under a situation where a portion of serviceable products and a portion of deteriorating products are sold together to consumers (i.e. mixed sales). The ordering policies consider a hybrid payment strategy with multiple prepayment and partial trade credit schemes linked to order quantity under situations where no inventory shortage is allowed and inventory shortage is allowed with full backorder. The hybrid payment policy offered by a supplier is introduced into the classical economic ordering quantity model to investigate the optimal inventory cycle and the fraction of demand that is filled from the deteriorating products under inspection policy. Further, a new solution method is proposed that identifies optimal annual total profit with mixed sales assuming no inventory shortage and inventory shortage with full backorder. The impact of an inspection policy is investigated on the optimality of the solution under hybrid payment strategies for the deteriorating products. The validation of the proposed model and its solution method is demonstrated through several numerical examples. The results indicate that the inventory model along with the solution method provide a powerful tool to the retail managers under real-world situations. Results demonstrate that it is essential for the managers to consider inclusion of an inspection policy in the mixed sales of products, as the inspection policy significantly increases the net annual profit.