Optimum Economic Ordering and Preservation Technology Expenditure Strategy facing Non-instantaneous degrading Inventory as a consequence of composite impact of Advertisement, Trade-credit besides Inflation

Author(s):  
Chanda Nautiyal
2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Umakanta Mishra ◽  
Jacobo Tijerina-Aguilera ◽  
Sunil Tiwari ◽  
Leopoldo Eduardo Cárdenas-Barrón

This article develops an inventory model for deteriorating items with controllable deterioration rate (by using preservation technology) under trade credit policy. As in practical scenarios the demand of an item is directly associated with its selling price, keeping this in mind, it is assumed to be a price dependent demand. The main objective of the inventory model is to determine jointly the optimal ordering, pricing, and preservation technology investment policies for retailer so that the total profit is maximized. The effects of key parameters on optimal solution are studied through a sensitivity analysis with the aim of examining the behavior of the inventory model with controllable deterioration under the permissible delay in payments.


2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Chandan Mahato ◽  
Gour Chandra Mahata

<p style='text-indent:20px;'>In the business world, both the supplier and the retailer accept the credit to make their business position strong, because the credit not only strengthens their business relationships but also increases the scale of their profits. In this paper, we consider an inventory model for non-instantaneous deteriorating items with price sensitive demand, time varying deterioration rate under two-level trade credit policy. Besides, to reduce deterioration rate, retailers invest some cost to prevent product degradation/decay, known as preservation technology, is also inserted. Consumption of such items within shelf life prevents to deterioration, which can be achieved by bulk sale. In order to stimulate the selling, trade-credit policy is also considered here. In the sequel, not only the supplier would offer fixed credit period to the retailer, but retailer also adopt the trade credit policy to the customers in order to promote the market competition. The retailer can accumulate revenue and interest after the customer pays for the amount of purchasing cost to the retailer until the end of the trade credit period offered by the supplier. The main objective is to determine the optimal replenishment, pricing and preservation technology investment strategies including whether or not invest in preservation technology and how much to invest in order to maximize the average profit of the system. It is proved that the optimal replenishment policy not only exists but is unique for any given selling price and preservation technology cost. An algorithm is presented to derive the optimal solutions of the model. Numerous theorems and lemmas have been inserted to obtain the optimal solution. Finally, numerical examples and managerial implications are incorporated to validate the proposed model.</p>


Author(s):  
Abu Hashan Md Mashud ◽  
Biswajit Sarkar

Sustainable inventory management is a common issue for any industry. This proposed study explains a representation of mathematical modelling for maintaining sustainability through the preservation technology for deteriorating products and trade-credit strategy for sustainable marketing. Based on the actual life circumstances, it is found that the demand for deteriorated products is influenced by the increasing frequency of advertising and preservation technology. The foremost aim of this study is to maintain sustainability with optimal pricing and optimal strategies to invest in preservation technology and optimal cycle length to take full advantage of the total profit. For solving the model, a classical optimization technique is utilized, and some theoretical results are shown with a graph of the profit function. Couples of experiments compare the proposed results and the existing literature and give some outcomes for different deterioration types. To illustrate and justify the model, a sensitivity analysis conceded for demonstrating the proposed model's flexibility by changing one parameter while keeping others fixed. The result shows that the trade-credit strategy under the preservation technology makes the management's most substantial marketing benefit.


2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
S. R. Singh ◽  
Swati Sharma

An inventory system for deteriorating items, with ramp-type demand rate, under two-level trade credit policy taking account of preservation technology is considered. The objective of this study is to develop a deteriorating inventory policy when the supplier provides to the retailer a permissible delay in payments, and during this credit period, the retailer accumulates the revenue and earns interest on that revenue; also the retailer invests on the preservation technology to reduce the rate of product deterioration. 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 draw attention to the obtained results, and the sensitivity analysis of the optimal solution with respect to leading parameters of the system is carried out.


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