چکیده:
This paper investigates an EPQ model with the increasing demand and demand dependent
production rate involving the trade credit financing policy, which is seldom reported in the
literatures. The model considers the manufacturer was offered by the supplier a delayed payment
time. It is assumed that the demand is a linear increasing function of the time and the production
rate is proportional to the demand. That is, the production rate is also a linear function of time.
This study attempts to offer a best policy for the replenishment cycle and the order quantity for
the manufacturer to maximum its profit per cycle. First, the inventory model is developed under
the above situation. Second, some useful theoretical results have been derived to characterize the
optimal solutions for the inventory system. The Algorithm is proposed to obtain the optimal
solutions of the manufacturer. Finally, the numerical examples are carried out to illustrate the
theorems, and the sensitivity analysis of the optimal solutions with respect to the parameters of the
inventory system is performed. Some important management insights are obtained based on the
analysis.
خلاصه ماشینی:
Therefore, in-depth research is required on the inventory replenishment decisions with the trade credit considering the increasing demand and the demand dependent production rate to extend the traditional EPQ model.
The economic production quantity model is researched by Chung and Huang (2003) considering the manufacturer offering the retailer the delayed payment policy.
(2012) develop a supply chain inventory model with trade credit financing linked to order quantity, and then study the optimal policies for both the vendor and the buyer under a non-cooperative environment first, and then under a cooperative integrated situation.
Kreng and Tan (2012) propose a production model for a lot-size inventory system considering the defective quality under the condition of two- level trade credit policy with a constant production rate and demand.
Soni (2013) discusses the optimal replenishment policies with the price and stock sensitive demand and infinite production rate under trade credit.
In the traditional EOQ or EPQ models without the trade credit financing, Manna and Chaudhuri (2006) presented a production-inventory system for deteriorating items with demand rate being a linearly ramp type function of time and production rate being proportional to the demand rate.
Recently, Soni and Patel (2012) developed a more general integrated supplier- retailer inventory model with a demand rate that is sensitive to the retailing price and a demand dependent production rate with two level of trade credit financing.
Therefore, based on the literatures above, this paper found that none of the above models explore the optimal replenishment policies of the manufacturer under trade credit financing combining with the increasing demand and demand dependent production rate.