scholarly journals Learning EOQ Model with Trade-Credit Financing Policy for Imperfect Quality Items under Cloudy Fuzzy Environment

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 246
Author(s):  
Mahesh Kumar Jayaswal ◽  
Mandeep Mittal ◽  
Osama Abdulaziz Alamri ◽  
Faizan Ahmad Khan
Keyword(s):  
Trade Credit ◽  
Credit Policy ◽  
Screening Process ◽  
Defective Items ◽  
Financing Policy ◽  
Eoq Model ◽  
Fuzzy Environment ◽  
Demand Rate ◽  
Credit Financing ◽  
Quantity Sensitivity

An imprecise demand rate creates problems in profit optimization in business scenarios. The aim is to nullify the imprecise nature of the demand rate with the help of the cloudy fuzzy method. Traditionally, all items in an ordered lot are presumed to be of good quality. However, the delivered lot may contain some defective items, which may occur during production or maintenance. Inspection of an ordered lot is indispensable in most organizations and can be treated as a type of learning. The learning demonstration, a statistical development expressing declining cost, is necessary to achieve any cyclical process. Further, defective items are sold immediately after the screening process as a single lot at a discounted price, and the fraction of defective items follows an S-shaped learning curve. The trade-credit policy is adequate for suppliers and retailers to maximize their profit during business. In this paper, an inventory model is developed with learning and trade-credit policy under the cloudy fuzzy environment where the demand rate is treated as a cloudy fuzzy number. Finally, the retailer’s total profit is maximized with respect to order quantity. Sensitivity analysis is presented to estimate the robustness of the model.

scholarly journals An Inventory System for Deteriorating Products with Ramp-Type Demand Rate under Two-Level Trade Credit Financing

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
G. Darzanou ◽  
K. Skouri
Keyword(s):  
Existence And Uniqueness ◽  
Trade Credit ◽  
Sufficient Conditions ◽  
Optimal Solution ◽  
Inventory System ◽  
Credit Policy ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Credit Financing ◽  
Ramp Type Demand

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.

scholarly journals Two-Level Credit Financing for Noninstantaneous Deterioration Items in a Supply Chain with Downstream Credit-Linked Demand

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
Yong He ◽  
Hongfu Huang
Keyword(s):  
Supply Chain ◽  
Trade Credit ◽  
Financing Policy ◽  
Sensitive Analysis ◽  
Eoq Model ◽  
Replenishment Cycle ◽  
Credit Financing ◽  
Delay In Payments ◽  
Optimal Ordering ◽  
Total Average

Trade credit financing is a useful tool in business today, which can be characterized as the agreement between supply chain members such as permissible delay in payments. In this study, we assume that the items have the property of noninstantaneous deterioration and the demand is a function of downstream credit. Then, an EOQ model for noninstantaneous deterioration is built based on the two-level financing policy. The purpose of this paper is to maximize the total average profit by determine the optimal downstream credit period, the optimal replenishment cycle length, and the optimal ordering quantity per cycle. Useful theorems are proposed to characterize the method of obtaining the optimal solutions. Based on the theorems, an algorithm is designed, and numerical tests and sensitive analysis are provided. Lastly, according to the sensitive analysis, managerial insights are proposed.

scholarly journals A Global Optimizing Policy for Decaying Items with Ramp-Type Demand Rate under Two-Level Trade Credit Financing Taking Account of Preservation Technology

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
S. R. Singh ◽  
Swati Sharma
Keyword(s):  
Trade Credit ◽  
Sufficient Conditions ◽  
Optimal Solution ◽  
Credit Policy ◽  
Preservation Technology ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Credit Financing ◽  
Delay In Payments ◽  
Ramp Type Demand

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.

scholarly journals An EOQ model for a deteriorating item with non-linear demand under inflation and a trade credit policy

2005 ◽  
Vol 15 (2) ◽  
pp. 209-220 ◽  
Author(s):  
S.K. Manna ◽  
K.S. Chaudhuri
Keyword(s):  
Trade Credit ◽  
Optimal Solution ◽  
Cash Flows ◽  
Credit Policy ◽  
Time Value Of Money ◽  
Time Value ◽  
Eoq Model ◽  
Non Linear ◽  
Demand Rate ◽  
Value Of Money

This paper develops an infinite time-horizon deterministic economic order quantity (EOQ) inventory model with deterioration based on discounted cash flows (DCF) approach where demand rate is assumed to be non-linear over time. The effects of inflation and time-value of money are also taken into account under a trade-credit policy of type "?/T1 net T". The results are illustrated with a numerical example. Sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.

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.

scholarly journals EPQ model with learning effect for imperfect quality items under trade-credit financing

2021 ◽  
pp. 10-10
Author(s):  
Mahesh Jayaswal ◽  
Mandeep Mittal ◽  
Isha Sangal ◽  
Rita Yadav
Keyword(s):  
Learning Effect ◽  
Trade Credit ◽  
Defective Items ◽  
Imperfect Quality ◽  
Demand Rate ◽  
Epq Model ◽  
Credit Financing ◽  
Technical Operation ◽  
The Cost ◽  
The Impact

Although high and advanced technologies are used to produce high quality items, some defective items are produced due to an error in technical operation or in maintenance. The defective cost is the expense involving rework, repair and replacement of defective items, and also the cost incurred due to loss of goods quality. The learning function acts as a substantial function for cost diminution. Meanwhile, the impact of learning is an incident which occurs approximately everywhere and enables the workers to carry out new work with better performance after owing repetition over a course of time. Further, a retailer offers buyers an allowable setback time to arrange the money payable to him and no extra fine if money is paid within the allowable financing time period. On the other hand, if the cash is not paid on trade-credit financing period of time, the retailer will charge on remaining cash provided by the buyer after the allowed period. Keeping these facts, we developed an inventory model for imperfect quality items with a learning effect, in which demand rate is assumed as an exponential function of the trade credit period. The expected total profit function is maximized with respect to trade credit financing period under learning effect. A numerical example is illustrated, and a comprehensive sensitivity analysis is depicted to understand the robustness of the model.

Fuzzy-Based EOQ Model With Credit Financing and Backorders Under Human Learning

2021 ◽  
Vol 10 (4) ◽  
pp. 14-36
Author(s):  
Mahesh Kumar Jayaswal ◽  
Mandeep Mittal ◽  
Isha Sangal ◽  
Jayanti Tripathi
Keyword(s):  
Trade Credit ◽  
Planning Horizon ◽  
Human Learning ◽  
Lead Times ◽  
Credit Period ◽  
Eoq Model ◽  
Triangular Numbers ◽  
Credit Financing ◽  
Fuzzy Cost ◽  
The Impact

In this paper, an inventory model has been developed with trade credit financing and back orders under human learning. In this model, it is considered that the seller provides a credit period to his buyer to settle the account and the buyer accepts the credit period policy with certain terms and conditions. The impact of learning and credit financing on the size of the lot and the corresponding cost has been presented. For the development of the model, demand and lead times have been taken as the fuzzy triangular numbers are fuzzified, and then learning has been done in the fuzzy numbers. First of all, the consideration of constant fuzziness is relaxed, and then the concept of learning in fuzzy under credit financing is joined with the representation, assuming that the degree of fuzziness reduces over the planning horizon. Finally, the expected total fuzzy cost function is minimized with respect to order quantity and number of shipments under credit financing and learning effect. Lastly, sensitive analysis has been presented as a consequence of some numerical examples.

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