scholarly journals Two-echelon trade credit with default risk in an EOQ model for deteriorating items under dynamic demand

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0
Author(s):  
Puspita Mahata ◽  
◽  
Gour Chandra Mahata ◽  
Keyword(s):  
Default Risk ◽  
Trade Credit ◽  
Deteriorating Items ◽  
Dynamic Demand ◽  
Eoq Model

A Fuzzy EOQ Model for Deteriorating Items With Allowable Shortage and Inspection Under the Trade Credit

2018 ◽  
pp. 233-249
Author(s):  
Chandra K. Jaggi ◽  
Bimal Kumar Mishra ◽  
T. C. Panda
Keyword(s):  
Trade Credit ◽  
Method Comparison ◽  
Deteriorating Items ◽  
Order Quantity ◽  
Centroid Method ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Permissible Delay In Payment ◽  
Demand Rate ◽  
Fuzzy Cost

This chapter develops an economic order quantity model for deteriorating items with initial inspection, allowable shortage under the condition of permissible delay in payment by fuzzify the demand rate, deterioration rate and inspection parameter of non-defective parameter based on as triangular fuzzy numbers to fit the real word. The total fuzzy cost function has been defuzzified using signed distance and centroid method. Comparison between these two methods has also been discussed. The validity of the model has been established with the help of a hypothetical numerical example.

scholarly journals The EOQ Model for Deteriorating Items with a Conditional Trade Credit Linked to Order Quantity in a Supply Chain System

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2311
Author(s):  
Kun-Jen Chung ◽  
Jui-Jung Liao ◽  
Hari Mohan Srivastava ◽  
Shih-Fang Lee ◽  
Shy-Der Lin
Keyword(s):  
Trade Credit ◽  
Analytic Solution ◽  
Optimal Solution ◽  
Optimization Methods ◽  
Deteriorating Items ◽  
Order Quantity ◽  
Supply Chain System ◽  
Total Cost ◽  
Eoq Model ◽  
Total Cost Function

For generality, we observed that some of the optimization methods lack the mathematical rigor and some of them are based on intuitive arguments which result in the solution procedures being questionable from logical viewpoints of a mathematical analysis such as those in the work by Ouyang et al. (2009). They consider an economic order quantity model for deteriorating items with partially permissible delays in payments linked to order quantity. Basically, their inventory models are interesting, however, they ignore explorations of interrelations of functional behaviors (continuity, monotonicity properties, differentiability, et cetera) of the total cost function to locate the optimal solution, so those shortcomings will naturally influence the implementation of their considered inventory model. Consequently, the main purpose of this paper is to provide accurate and reliable mathematical analytic solution procedures for different scenarios that overcome the shortcomings of Ouyang et al.

Optimal replenishment and credit policy in an inventory model for deteriorating items under two-levels of trade credit policy when demand depends on both time and credit period involving default risk

2018 ◽  
Vol 52 (4-5) ◽  
pp. 1175-1200 ◽  
Author(s):  
Avik Mukherjee ◽  
Gour Chandra Mahata
Keyword(s):  
Default Risk ◽  
Trade Credit ◽  
Optimal Solution ◽  
Deteriorating Items ◽  
Dynamic Decision Making ◽  
Credit Policy ◽  
Credit Period ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Credit Financing

In this paper, we examine an optimal dynamic decision-making problem for a retailer’s inventory system of deteriorating items under two-level trade credit financing where the supplier, as well as the retailer, offers trade credit to the subsequent downstream member, the demand rate of which varies simultaneously with time and the length of credit period that is offered to the customers. The deterioration rate is non-decreasing over time. In addition, the risk of default increases with the credit period length. A generalized model is presented to determine the optimal trade credit and replenishment strategies that maximize the retailer’s annual total profit. We then demonstrate that the retailer’s optimal credit period and replenishment cycle time not only exist but also are unique. Thus, the search of the global optimal solution reduces to finding a local solution. Finally, we run several numerical examples to illustrate the problem and gain managerial insights.

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