An integrated fuzzy production inventory model for manufacturer–retailer coordination under simple carbon tax system G. Durga Bhavani, G. S. Mahapatra, Akhilesh Kumar Journal of Management Analytics, 2023 This paper develops twin models towards integrated production inventory planning for manufacturer–retailer ecosystem in a sustainable supply chain setup. Decision-making models are developed in fuzzy environment and under purview of carbon taxation system. Novel conception of Fermatean fuzzy numbers is introduced for handling parameters imprecision. The first model addresses planning problem without considering green investments, whereas the second one additionally identifies optimal green investments for each player of ecosystem. Models are formulated as nonlinear optimization problems with objective of maximizing profit. Comparison of results from both models enables decision-makers to figure out the profitability of green investment option. Numerical instance with data from the existing literature is solved using Mathematica 12.1. Computational results for studied case report profitability of green investments for supply chain partners and significant reduction in carbon emissions as well. Variation analysis demonstrates stability of the proposed model. Developed models equip small-scale retailer-manufacture tie-ups prevalent in developing economies for discussed decisions.
Pythagorean Fuzzy Storage Capacity with Controllable Carbon Emission Incorporating Green Technology Investment on a Two-Depository System Gudivada Durga Bhavani, Ieva Meidute-Kavaliauskiene, Ghanshaym S. Mahapatra, Renata Činčikaitė Energies, 2022 Global warming is mainly caused by carbon emissions. Currently, fewer countries are concentrating on reducing carbon emissions. The primary strategy utilized by numerous countries to achieve carbon emissions reduction is the carbon tax policy. With this in mind, a sustainable two-warehouse inventory model was taken carbon tax into account for a controllable carbon emissions rate by investing in green technology initiatives under uncertain emission and cost parameters. The globe is currently experiencing an eco-friendly period. Many individuals are interested in purchasing natural or herbal items since they are made from natural sources and do not affect the environment. The demand for products made with herbal or natural ingredients is considered eco-friendly demand. This study examines a two-warehouse inventory model of deteriorating commodities with price and marketing-dependent eco-friendly demand. The inventory system is presented to handle the inventory in the depository with last-in-first-out and first-in-first-out strategies. After comparing both the policies under deterioration rate and holding cost, this study recommended a suitable dispatch policy. Interval-valued numbers and fuzzy numbers are the mathematical techniques that deal with uncertainties, so this model’s emission and cost parameters are taken as interval-valued numbers, and the storage capacity of the owned warehouse is a Pythagorean fuzzy number. The optimal solution for the two-warehouse inventory system is evaluated by taking the parametric form of interval-valued cost parameters and the new concept of the ranking function of triangular Pythagorean fuzzy numbers. Numerical results prove that emissions are reduced by 87% under green technology investment in both policies. As a consequence, in the FIFO policy, the total cost of the two-warehouse inventory system decreases by 34.45% and cycle length increases by 5.72%, and in the LIFO policy, the total cost of the two-warehouse inventory system decreases by 34.42% and cycle length increases by 11.19%. Sensitivity analysis of the key parameters has been performed to study the effect of various parameters on the optimal solution.
A Sustainable Green Inventory System with Novel Eco-Friendly Demand Incorporating Partial Backlogging under Fuzziness G. Durga Bhavani, Ieva Meidute-Kavaliauskiene, Ghanshaym S. Mahapatra, Renata Činčikaitė Sustainability Switzerland, 2022 Environmentally friendly goods are market-oriented goods that create less environmental damage. Their manufacture is related to a product development process designed to consider the environmental consequences that might develop throughout their life cycle. In reality, the global demand for herbal goods is expanding since herbal products are manufactured from plant extracts such as leaves, roots, flowers, and seeds, among others, and cause less environmental destruction. This study introduces a novel, eco-friendly demand determined by the usage of herbal and chemical substances in products. In this context, companies producing these products are encouraged. Firms are interested in producing eco-friendly products while keeping an eye on carbon emissions. This paper presents a sustainable inventory model of non-instantaneous decaying items that follow this eco-friendly demand under partially backlogged shortages. In this study, emission releases due to inventory setup, degradation, and holding were estimated, as were carbon emissions under cap and tax policies. This approach invests in green and preservation technologies to reduce carbon emissions and deterioration. To address the imprecision of the model’s cost parameters, we converted them to Pythagorean fuzzy numbers. The optimum profit of the inventory model with carbon emissions is estimated by considering the time that the inventory level takes to reach zero and the replenishment time as decision variables. Numerical examples and a sensitivity analysis of significant parameters have been conducted to examine the effect of variation in the optimal inventory policy.
Neutrosophic Cost Pattern of Inventory System with Novel Demand Incorporating Deterioration and Discount on Defective Items Using Particle Swarm Algorithm G. Durga Bhavani, Fasika Bete Georgise, G. S. Mahapatra, B. Maneckshaw Computational Intelligence and Neuroscience, 2022 The potential to obtain defective or damaged items with non-defective commodities is common to experience at the production unit or when shipping products from one layer to another. This research focuses on the faulty things that retailers receive from suppliers. The retailer has set a restriction on the percentage of defective things, and the retailer receives a discount on the cost of purchasing defective items. The proposed inventory system handles the uncertainty in inventory costs and also considers the demand and deterioration of items with prioritized maximum product life. This work minimizes total inventory cost when demand rate as a function of reliability and power pattern of time under a crisp and triangular neutrosophic environment. The inventory system for degrading items considers the predictability and power pattern of time with a reasonable payment delay. The interest charges are applied only after a specific permissible time limit in the proposed inventory system. The neutrosophic number that defines three different kinds of membership functions representing the truth, hesitation, and falseness is applied in the inventory model in handling the uncertainty of the cost pattern. The proposed inventory model is investigated using a particle swarm optimization algorithm, and the results are validated using a numerical example and a sensitivity analysis for various parameters.
RECENT SCHOLAR PUBLICATIONS
An inventory system with time-dependent holding cost and demand dynamics under a generalized trapezoidal neutrosophic framework GD Bhavani, GS Mahapatra, GM Lee International Journal of Industrial Engineering: Theory, Applications and … , 2025 2025 Citations: 1
A case study on the impact of green investment with a pentagonal fuzzy storage capacity of two green-warehouse inventory systems under two dispatching policies: GD Bhavani et al. GD Bhavani, U Mishra, GS Mahapatra Environment, development and sustainability 27 (4), 9071-9105 , 2025 2025 Citations: 17
A sustainable two-echelon green supply chain coordination model under fuzziness incorporating carbon pricing policies GD Bhavani, GS Mahapatra, A Kumar Environmental Science and Pollution Research 30 (38), 89197-89237 , 2023 2023 Citations: 12
Inventory system with generalized triangular neutrosophic cost pattern incorporating maximum life-time-based deterioration and novel demand through PSO: GD Bhavani, GS Mahapatra GD Bhavani, GS Mahapatra Soft Computing 27 (5), 2385-2402 , 2023 2023 Citations: 24
An integrated fuzzy production inventory model for manufacturer–retailer coordination under simple carbon tax system GD Bhavani, GS Mahapatra, A Kumar Journal of Management Analytics 10 (1), 38-88 , 2023 2023 Citations: 18
Pythagorean fuzzy storage capacity with controllable carbon emission incorporating green technology investment on a two-depository system GD Bhavani, I Meidute-Kavaliauskiene, GS Mahapatra, R Činčikaitė Energies 15 (23), 9087 , 2022 2022 Citations: 10
A sustainable green inventory system with novel eco-friendly demand incorporating partial backlogging under fuzziness GD Bhavani, I Meidute-Kavaliauskiene, GS Mahapatra, R Činčikaitė Sustainability 14 (15), 9155 , 2022 2022 Citations: 40
Neutrosophic cost pattern of inventory system with novel demand incorporating deterioration and discount on defective items using particle swarm algorithm GD Bhavani, FB Georgise, GS Mahapatra, B Maneckshaw Computational Intelligence and Neuroscience 2022 (1), 7683417 , 2022 2022 Citations: 16
MOST CITED SCHOLAR PUBLICATIONS
A sustainable green inventory system with novel eco-friendly demand incorporating partial backlogging under fuzziness GD Bhavani, I Meidute-Kavaliauskiene, GS Mahapatra, R Činčikaitė Sustainability 14 (15), 9155 , 2022 2022 Citations: 40
Inventory system with generalized triangular neutrosophic cost pattern incorporating maximum life-time-based deterioration and novel demand through PSO: GD Bhavani, GS Mahapatra GD Bhavani, GS Mahapatra Soft Computing 27 (5), 2385-2402 , 2023 2023 Citations: 24
An integrated fuzzy production inventory model for manufacturer–retailer coordination under simple carbon tax system GD Bhavani, GS Mahapatra, A Kumar Journal of Management Analytics 10 (1), 38-88 , 2023 2023 Citations: 18
A case study on the impact of green investment with a pentagonal fuzzy storage capacity of two green-warehouse inventory systems under two dispatching policies: GD Bhavani et al. GD Bhavani, U Mishra, GS Mahapatra Environment, development and sustainability 27 (4), 9071-9105 , 2025 2025 Citations: 17
Neutrosophic cost pattern of inventory system with novel demand incorporating deterioration and discount on defective items using particle swarm algorithm GD Bhavani, FB Georgise, GS Mahapatra, B Maneckshaw Computational Intelligence and Neuroscience 2022 (1), 7683417 , 2022 2022 Citations: 16
A sustainable two-echelon green supply chain coordination model under fuzziness incorporating carbon pricing policies GD Bhavani, GS Mahapatra, A Kumar Environmental Science and Pollution Research 30 (38), 89197-89237 , 2023 2023 Citations: 12
Pythagorean fuzzy storage capacity with controllable carbon emission incorporating green technology investment on a two-depository system GD Bhavani, I Meidute-Kavaliauskiene, GS Mahapatra, R Činčikaitė Energies 15 (23), 9087 , 2022 2022 Citations: 10
An inventory system with time-dependent holding cost and demand dynamics under a generalized trapezoidal neutrosophic framework GD Bhavani, GS Mahapatra, GM Lee International Journal of Industrial Engineering: Theory, Applications and … , 2025 2025 Citations: 1