Economic ordering and payment policies under progressive payment schemes and time-value of money

Trade credits have received considerable attention in recent years and have become one of the most important sources of short-term funding for many companies. The paper at hand studies the optimal ordering and payment policies of a buyer assuming that the supplier offers a progressive interest scheme. The contribution to the literature is twofold. First, the different financial conditions of the companies involved are taken into account by assuming that the credit interest rate of the buyer may, but not necessarily has to, exceed the interest rate charged by the supplier. In addition, the time-value of money is considered in this scenario which is relevant when trade credit terms are valid for a long period of time and payment flows need to be evaluated by their net present value to ensure long-term profitability. The models proposed enable decision makers to improve ordering and payment decisions and the results reveal that taking into account the temporal allocation of payments, the prevailing interest relation influences replenishment policies significantly

Inventory Policies for Deteriorating Items with Maximum Lifetime under Downstream Partial Trade Credits to Credit-Risk Customers by Discounted Cash Flow Analysis

Getting loans from banks are almost impossible after 2008 global financial crisis. As a result, about 80% of companies in the United Kingdom and the United States offer their products on various short terms, free-interest loans to customers. To compute the interest earned and charged during the credit period but not to the revenue and other costs which are considerably larger than the interest earned and charged, numerous researchers and academicians apply merely the discounted cash flow (DCF) analysis. In addition, some products deteriorate continuously and cannot sell after expiration date. However, a little number of researchers have considered the product lifetime expectance into their models. In this chapter, a supplier-retailer-customer chain model is developed. The supplier provides an upstream full trade credit to the retailer, and the credit-risk customer gets a downstream partial trade credit from the retailer. The non-decreasing deterioration rate is 100% near particularly close to its expiration date. To compute all relevant costs, DCF analysis is applied. The retailer’s optimal replenishment cycle time is not only exists but also unique that demonstrated in this proposal and that has been shown by the numerical examples

Optimal Economic Ordering Policy with Trade Credit and Discount Cash-Flow Approach

In this paper, an inventory model for deteriorating items under two levels of trade credit will be established. The trade credit policy depends on the retailer’s order quantity. When the retailer’s order quantity is greater than or equal to a predetermined quantity, both of the supplier and the retailer are taking trade credit policy; otherwise, the delay in payments is not permitted. Since the same cash amount has different values at different points of time, the discount cash-flow (DCF) is used to analysis the inventory model. The purpose of this paper is to find an optimal ordering policy to minimizing the present value of all future cash-flows cost by using DCF approach. The method to determine the optimal ordering policy efficiently is presented. Some numerical examples are provided to demonstrate the model and sensitivity of some important parameters are illustrated the optimal solutions

Inventory Model with Time-Dependent Holding cost under Inflation when Seller Credits to Order Quantity

In this study an inventory model is developed under which the seller provides the retailer a permissible delay in payments, if the retailer orders a large quantity. In this paper we establish an inventory model for non deteriorating items and time dependent holding cost under inflation when seller offers permissible delay to the retailer, if the order quantity is greater than or equal to a predetermined quantity. We then obtain optimal solution for finding optimal order quantity, optimal replenishment time and optimal total relevant cost. Finally, numerical example is given to illustrate the theoretical results and made sensitive analysis of various parameters on the optimal solution

A cash flow EOQ inventory model for non-deteriorating items with constant demand

This study presents an inventory model to determine an optimal ordering policy for non-deteriorating items and time independent demand rate with delay in payments permitted by the supplier under inflation and time discounting, and the rate is assumed to be constant.This study determines the best cycle period and optimal payment period for items so that the annual total relevant cost is minimized. The main purpose of this study is to investigate the optimal (minimum) total present value of the costs over the time horizon H for both cases where the demand is fixed (constant) at any time. This study work is limited to only nondeteriorating goods with constant demand and with a permissible delay in payment.Numerical example and sensitivity analysis are given to evince the applicability of the model.Keywords: Demand, Inventory, Non-Deterioration, Inflation, Delay in payments, Replenishment

Retailer’s Joint Ordering, Pricing, and Preservation Technology Investment Policies for a Deteriorating Item under Permissible Delay in Payments

10.1155/2018/6962417Mathematical Problems in Engineering2018696241

Optimal Ordering policy in demand declining market under inflation when supplier credits linked to order quantity

In this research paper, a lot–size model is proposed when supplier offers the retailer a credit period to settle the account if the retailer orders a large quantity. The proposed study is meant for demand declining market. Here, the retailer needs to arrive at a static decision when demand of a product is decreasing and on the other side the supplier offer the credit period if the retailer orders for more than pre – specified quantity. Shortages are not allowed and the effect of inflation is incorporated. The objective to minimize the total cost in demand declining market under inflation when the supplier offers a credit period to the retailer if the ordered quantity is greater than or equal to pre – specified quantity. An easy – to – use flow chart is given to find the optimal replenishment time and the order quantity. The mathematical formulation is supported by a numerical example. The sensitivity analysis of parameters on the optimal solution is carried out

Planning for shortages? Net present value analysis for a deteriorating item with partial backlogging

This paper develops inventory models to help answer strategic questions concerning whether planning for shortages offers financial benefits. A production-inventory system producing a deteriorating product in batches at a finite production rate with partial backordering is considered. Customers pay a deposit when placing a backorder. Backordered items receive a discount on the sales price. As lost sales may lead to customers not returning, the demand rate may depend on the fraction of lost sales. We develop a cash-flow based profit maximising Net Present Value (NPV) model without the inventory cost parameters commonly used in this context: unit holding cost, unit backorder cost, unit deterioration cost, and unit lost sales cost. The model finds the optimal inventory policy just like NPV models that discount the traditional parameters but has the advantage of not needing to estimate the value of the traditional parameters. It is shown that in models based on discounting the traditional parameters, the parameters are not exogenously determinable but are non-trivial functions of non-financial endogenous system parameters such as the production rate, annual demand rate, and backorder rate. Extensive numerical experiments illustrate how cash-flow NPV models provide insights into the value of planning for shortages and strategic choices about the design of the production-inventory system. It also provides insight into the classical problem of how to interpret unit backorder cost and unit lost sales cost. The study indicates that these insights cannot be reliably obtained from NPV models based on discounting unit backorder costs and unit lost sales costs.<br/