Papers by Gour Chandra Mahata
Modeling earth systems and environment, May 10, 2024
RAIRO. Recherche opérationnelle/RAIRO. Recherche opérationnelle, Mar 26, 2024
Rairo-operations Research, Mar 1, 2023
Fuzzy reasoning is the subject of fuzzy system where the fuzzy set is characterized by the random... more Fuzzy reasoning is the subject of fuzzy system where the fuzzy set is characterized by the randomization of the variable associated in the fuzzy set itself. It is the first-time application of fuzzy reasoning over the backorder economic order quantity (EOQ) inventory management problem. We first define the fuzzy reasoning membership function through the use of L-fuzzy number and possibility theory on fuzzy numbers. Considering the holding cost, set up cost, backordering cost and demand rate as reasoning based fuzzy number, we have constructed a dual fuzzy mathematical problem. Then this problem has been solved over the dual feasible space which is associated to the aspiration level and the fuzzy approximation constant. Numerical study reveals the superiority of the proposed method with respect to the crisp solution as well as general fuzzy solution. Sensitivity analysis and graphical illustrations have also been done to justify the novelty of this article.
Journal of management analytics, Jan 2, 2023
Mathematical and Computer Modelling of Dynamical Systems, Jun 22, 2020
This paper considers an imperfect manufacturing system with machine maintenance and credit polici... more This paper considers an imperfect manufacturing system with machine maintenance and credit policies. The manufacturer adopts the machine maintenance when the system is in the out-of-control state. The supplier not only offers a credit period to settle the payment but also offers a cash discount to encourage the customer to pay the amount earlier. The interest earned is calculated based on retail price instead of purchase cost in most previous researches. The interest paid is not necessarily higher than the interest earned. The objective is to determine the retailer's production run time and payment time that minimise the expected total annual cost. The model can be used as a cost-saving mechanism for an engineer-to-order production system. From numerical experiments, we discuss how the machine maintenance cost, the defective cost and the percentages of defective products affect the manufacturer.
international journal of management science and engineering management, Jan 28, 2016
In supply chain inventory models, it was assumed that the retailers and their customers must pay ... more In supply chain inventory models, it was assumed that the retailers and their customers must pay for the items as soon as the items are received. However, in practice the supplier is usually willing to provide the retailer a full trade credit period for payments and the retailer just offers the partial trade credit period to his/her customers. In addition, many products such as blood for blood banks, pharmaceuticals, fruit, vegetables, volatile liquids and others deteriorate constantly and have their expiration dates. In this paper, we established optimal lot-sizing policies for a retailer who sells a deteriorating item to credit-risk customers by offering partial trade credit to reduce his/her risk. The objective is to maximize the total profit per unit time of the retailer with respect to the optimal purchase quantity during the optimal cycle time. The concavity of the total profit per unit time is demonstrated using inventory parametric values. Sensitivity analysis is carried out to advise the decision maker to keep an eye on critical inventory parameters.
Rairo-operations Research, Oct 1, 2018
In this paper, we examine an optimal dynamic decision-making problem for a retailer's inventory s... more 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.
Environment, Development and Sustainability, Jul 20, 2023
Soft Computing, Jul 10, 2023
Journal of Industrial and Management Optimization, 2023
Research Square (Research Square), Sep 8, 2022
In today's competitive business situation, the supplier frequently offers his or her retailers a ... more In today's competitive business situation, the supplier frequently offers his or her retailers a permissible delay period to stimulate sales. In addition, the capacity of any warehouse is limited in practice, thus the retailer needs an additional rented warehouse to store the excess units when the order quantity exceeds the capacity of the own warehouse. Furthermore, with the globalization of the marketing policy, the supplier may provide the retailer a discounted price if the quantity of purchase is large enough. Green inventory management reduces the environmental impacts of a business without lacking its profit. Considering all of the factors mentioned above, in this paper we study a green economic order quantity model with capacity constraint under order-size dependent trade credit and all-units discount along with minimizing carbon for a cleaner environment. The paper discusses all the potential cases, which may occur in green inventory models with carbon emission cost under different allowable delay-in-payments. Shortages are allowed and partially backordered. The major objective is to determine the sustainable optimal ordering strategies for retailers, and whether the retailer needs an additional rented warehouse such that the retailer's annual profit is maximized. First, we prove that the conditions of the objective functions have interior minimizer value and the closed-form optimal solution is found. Next, an algorithm is developed to determining the global optimal solution of the problem. Finally, some numerical examples are presented to illustrate theoretical results. Sensitivity analysis of the major parameters is performed and some insights are obtained.
Environment, Development and Sustainability
Journal of Industrial and Management Optimization, 2021
In the business world, both the supplier and the retailer accept the credit to make their busines... more 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 i...
International Journal of Systems Science: Operations & Logistics, 2021
Journal of Management Analytics, 2021
Journal of the Operational Research Society, 2008
In practice, the supplier may simultaneously offer the customer: (1) a permissible delay in payme... more In practice, the supplier may simultaneously offer the customer: (1) a permissible delay in payments to attract new customers and increase sales and (2) a cash discount to motivate faster payment and reduce credit expenses. Ouyang et al (2005) provide the optimal policy for the customer to obtain its minimum cost when the supplier offers not only a permissible delay but also a cash discount. Basically, their inventory model is correct and interesting. However, processes of proofs about Theorem 1 in Ouyang et al (2005) have some shortcomings. In fact, the modelling and the solution procedure are equally important to an inventory problem. So, the main purpose of this paper is to overcome all shortcomings in Ouyang et al (2005) and present complete proofs of the solution procedures for Ouyang et al (2005).
International Journal of Technology Management, 2009
This paper considers an imperfect manufacturing system with machine maintenance and credit polici... more This paper considers an imperfect manufacturing system with machine maintenance and credit policies. The manufacturer adopts the machine maintenance when the system is in the out-of-control state. The supplier not only offers a credit period to settle the payment but also offers a cash discount to encourage the customer to pay the amount earlier. The interest earned is calculated based on retail price instead of purchase cost in most previous researches. The interest paid is not necessarily higher than the interest earned. The objective is to determine the retailer's production run time and payment time that minimise the expected total annual cost. The model can be used as a cost-saving mechanism for an engineer-to-order production system. From numerical experiments, we discuss how the machine maintenance cost, the defective cost and the percentages of defective products affect the manufacturer.
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Papers by Gour Chandra Mahata