scholarly journals An Inventory Model for Ramp-Type Demand with Two-Level Trade Credit Financing Linked to Order Quantity

2019 ◽  
Vol 07 (02) ◽  
pp. 427-446 ◽  
Author(s):  
Hui-Ling Yang
2014 ◽  
Vol 2014 ◽  
pp. 1-18 ◽  
Author(s):  
Juanjuan Qin ◽  
Weihua Liu

This paper investigates the optimal replenishment policy for the retailer with the ramp type demand and demand dependent production rate involving the trade credit financing, which is not reported in the literatures. First, the two inventory models are developed under the above situation. Second, the algorithms are given to optimize the replenishment cycle time and the order quantity for the retailer. Finally, the numerical examples are carried out to illustrate the optimal solutions and the sensitivity analysis is performed. The results show that if the value of production rate is small, the retailer will lower the frequency of putting the orders to cut down the order cost; if the production rate is high, the demand dependent production rate has no effect on the optimal decisions. When the trade credit is less than the growth stage time, the retailer will shorten the replenishment cycle; when it is larger than the breakpoint of the demand, within the maturity stage of the products, the trade credit has no effect on the optimal order cycle and the optimal order quantity.


2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
G. Darzanou ◽  
K. Skouri

An inventory system for deteriorating products, with ramp-type demand rate, under two-level trade credit policy is considered. Shortages are allowed and partially backlogged. Sufficient conditions of the existence and uniqueness of the optimal replenishment policy are provided, and an algorithm, for its determination, is proposed. Numerical examples highlight the obtained results, and sensitivity analysis of the optimal solution with respect to major parameters of the system is carried out.


2020 ◽  
Vol 8 (5) ◽  
pp. 5330-5337

Now a day, government is more concerned about the environment, so inventory model for deteriorating product for multi-product with partial backlogging is modeled here by considering carbon emission cost under the influence of inflation. It is also assumed buyer have sufficient amount of money to pay the vendor in the beginning of the business but still buyer focus to avail the offer of trade credit offered by vendor. As demand of many products such as fashionable products, cold drinks etc., get stabilized after the acceptance by the market and take the form of ramp-type. So, while developing the model, ramp-type initial stock-dependent demand is considered. As the life time of the product is finite so finite planning horizon is considered here. To obtain the optimal solution, search algorithm is provided. To illustrate and validate the model, numerical example is provided. Further, to study the effect of important parameters, sensitive analysis is also carried.


2019 ◽  
Vol 287 (1) ◽  
pp. 403-437 ◽  
Author(s):  
Ata Allah Taleizadeh ◽  
Sara Tavassoli ◽  
Arijit Bhattacharya

Abstract 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.


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