Optimal greening efforts, pricing and inventory strategies for non-instantaneous deteriorating perishable products under price, freshness and green efforts dependent demand with price discount Dharmesh K. Katariya, Kunal T. Shukla International Journal of Mathematics in Operational Research, 2025 Nowadays, consumers who are concerned about their health prefer and expect nutritional and fresh sustainable products. Due to their freshness, healthfulness, and environmental friendliness, people are now using sustainable fresh perishable products. The price of products plays an important role in consumers purchasing behaviours. This article considers an inventory model for non-instantaneously deteriorating perishable fresh products with selling price, age of product (freshness), and greening efforts dependent demand. The quality of products reduces due to physical deterioration and degradation of the product's freshness, and hence, retailers offer a discount in the selling price to the buyer during a deteriorating period to boost demand. The objectives of the study are to determine the optimal selling price, an optimal period for replenishment cycle time, and an optimal value of greening efforts cost simultaneously while taking into account retailers total profit maximisation. A mathematical model is developed and validated using numerical results to reflect actual situations. To examine the reliability of the model, sensitivity analysis with regard to parameters is undertaken. Some keys managerial insights are presented, and the article concludes with a discussion of the future scope of related research.
Sustainable inventory policies for green cosmetic products with combined advantages of the exhibition and free sample of products Ritu Pujara, Kunal T. Shukla, Dharmesh K. Katariya International Journal of Procurement Management, 2025 The proposed research deals with that the seller is offering eco-friendly cosmetics to the consumer. In order to catch the attention of new customers, the seller is selling items at a nearby exhibition and giving away free samples of his main product during the exhibition. The main product and free sample of main product are two inventories, with actual market demand are taken into account. Exhibition, distribution of free samples of the main item and green investment all have a direct effect on product demand. In order to maximise profit of seller with respect to optimum value of selling price, green investment, cycle time and order quantity, the problem is formulated as a mathematical model. The findings indicate the exhibition and distribution of free samples of main product significantly increased sales and total profit. Numerical example and sensitivity analysis validated the model and derived the outcome and finally concluded the article with future scope of study.
AN EPQ MODEL FOR DELAY DETERIORATING PRODUCTS WITH PRICE, FRESHNESS AND GREENING EFFORTS DEPENDENT DEMAND UNDER MARKDOWN STRATEGY Dharmesh Katariya, Kunal Shukla Yugoslav Journal of Operations Research, 2024 Consumers today use green, fresh, perishable products because of their freshness, healthfulness, and sustainability. In this article, we developed the continuous production inventory model for the producer who produces and sells fresh perishable products with the input of green efforts. There are two distinct kinds of product decay to take into account: products whose physical condition gradually deteriorates over time at a constant rate, and products whose freshness quality declines with time. Product demand is influenced by the selling price of the product, its freshness level, and its greening efforts. In order to increase the sales of inventory and enhance the profit from clearing stocks at the end of their life, we have adopted the markdown policy. Due to freshness degradation, a markdown strategy is adopted after a period of product deterioration to boost demand. The objectives of the study are to find out the optimal period for replenishment cycle time, the optimal value of greening efforts, and the optimal markdown percentage such that the producer?s total profit is maximum. A numerical example is used to validate a mathematical formulation that reflects real-world circumstances. A sensitivity analysis of the parameters is done to determine the model's reliability. Some significant managerial results are provided, and the article concludes with a consideration of the future scope of related research.
Optimal green investments and replenishment decisions in vendor-managed inventory systems for non-instantaneous deteriorating products with partial backordering Dharmesh K. Katariya, Kunal T. Shukla International Journal of Business Performance and Supply Chain Modelling, 2024 Global warming is a big challenge in the current era. Investment in green technology may be useful to reduce the effects of carbon emissions on the environment. This model is designed for a two-level supply chain with a single vendor and buyer, a single non-instantaneous deteriorating product with green investment, and promotion-level-dependent demand. In a vendor-managed inventory (VMI) system, all inventory decisions are taken by the vendor instead of the buyer. In this study, we developed a VMI model and a traditional supply chain model with partial backlog shortages. The result shows that carbon emission reduction is directly proportional to green technology investment (GTI), while green technology promotion increases demand. The objective is to minimise the total cost per time unit of the supply chain and carbon emission cost with respect to the optimal green investment cost and replenishment cycle time. A numerical example and sensitivity analysis are provided for the validation of the proposed model, and the results show that the VMI model is better than the traditional supply chain model.
Pricing and ordering strategy for new product and buyback strategy for used product from retailer's point Dharmesh K. Katariya, Kunal T. Shukla International Journal of Operational Research, 2024 Today environmental spectrums are much considered while purchasing a new product because of global awareness about sustainability of environment, hence an interest for use of restored products has increased. The retailer is a decision-maker; retailer sells a new product to the consumers and collects the used sold products for reselling. In this deteriorating inventory model, the demand rate of new products is a nonlinear function and demand rate of used buyback products is linear function of selling price and time-dependent respectively. Shortages are allowed and the unsatisfied demand is partially backlogged. The objective is to maximise total profit per time unit for a retailer concerning to optimise selling price, order quantity for a new product, and quantity of used buyback products simultaneously. Global optimality is verified by Hessian matrix method and graphically. This model is explained through a numerical example, sensitivity analysis, and managerial insights. Ultimately, some concluding remarks with future scopes are discussed.
An EOQ model for deteriorating products with green technology investment and trade credit financing Dharmesh K. Katariya, Kunal T. Shukla International Journal of Procurement Management, 2023 Carbon reduction plays a significant role in encouraging green inventories and in market demand which is affected by products selling price. So, we considered green technology investment and selling price dependent linear demand in presented economic order quantity (EOQ) model. The retailer is permitted a specific period to acquire cash flow by supplier and hence, retailer gets more time for investing in green technology and managing sustainability. Sources of carbon emission from transportation and storing inventory process are considered, carbon tax regulation helps to manage carbon emission levels. Our aim to optimise the retailer's total profit at the optimal value of cycle time, selling price, and green technology investment cost for perishable deteriorating products with fixed expiry dates. Classical optimisation method is applied to determine the optimal value of decision variables. For the authentication of suggested model, numerical examples are taken, we have proved the concavity of the profit function of the system using a Hessian matrix method and graphically, and to generate managerial insights, the sensitivity analysis is done for each decision variable by changing the inventory parameters.
SUSTAINABLE ECONOMIC PRODUCTION QUANTITY (SEPQ) MODEL FOR INVENTORY HAVING GREEN TECHNOLOGY INVESTMENTS-PRICE SENSITIVE DEMAND WITH EXPIRATION DATES KATARIYA DHARMESH, SHUKLA KUNAL Economic Computation and Economic Cybernetics Studies and Research, 2022 Carbon emission in environment by the human activities is current key issue globally; the investment in green technology and adoption of government carbon reduction policy will be help to minimize the carbon emission and global warming. In this article, we developed a manufacturer's sustainable economic production quantity inventory model (SEPQ) with green technology investment and selling price-sensitive demand. Furthermore, products have a time varying deterioration rate, which also depends on the expiration date of the products. Set up the production system, manufacturing process, holding inventory, deterioration of products, environmental impact are sources of carbon emissions are considered in proposed model. Carbon tax and cap policy, green technology investment is implemented for achieve sustainability. The main objective of the study is to find optimal replenishment time, optimal green investment and optimal selling price by considering manufacture's profit maximization using classical optimization. A numerical example has studied to validate the sustainable economic production quantity model. Sensitivity analysis has provided with the managerial implication of the optimal feasible solution with respect to some key parameters. Finally, some concluding remarks along with future scopes are discussed.
Pricing and ordering policy for deteriorating inventory system with price sensitive ramptype demand, pre and post deterioration discounts Investigacion Operacional, 2019
Supply chain inventory model for optimal ordering and pricing policies under retailer partial trade credit scenario in declining market Dynamics of Continuous Discrete and Impulsive Systems Series B Applications and Algorithms, 2010
Deteriorating inventory model for waiting time partial backlogging Applied Mathematical Sciences, 2009
RECENT SCHOLAR PUBLICATIONS
Controllable deterioration rate and green investment decisions in vendor-managed chemical product inventory supply chain relationship DK Katariya, KT Shukla, ND Abhangi, SH Bhatt Journal of Applied Research on Industrial Engineering 13 (1), 106-126 , 2026 2026
Sustainable inventory policies for green cosmetic products with combined advantages of the exhibition and free sample of products R Pujara, KT Shukla, DK Katariya International Journal of Procurement Management , 2025 2025
A sustainable production inventory model for perishable products under the markdown approach and carbon emission reduction investments DK Katariya, KT Shukla Sustainable Inventory Management: Perspectives from India, 147-175 , 2025 2025 Citations: 3
OPTIMISING INVENTORY POLICIES FOR NEW AND TAKE-BACK USED PRODUCTS WITH CONCEPT OF COMPLEMENTARY PRODUCTS UNDER SHORTAGES D KATARIYA, K SHUKLA, A RATHOD INTERNATIONAL JOURNAL OF PROCUREMENT MANAGEMENT 1 (1) , 2025 2025
Optimal Pricing for Substitute Products with Deterioration Constraints AH Rathod, KT Shukla, DK Katariya Indian Journal of Natural Sciences 15 (88), 89651-89665 , 2025 2025 Citations: 2
Optimal greening efforts, pricing and inventory strategies for non-instantaneous deteriorating perishable products under price, freshness and green efforts dependent demand … DK Katariya, KT Shukla International Journal of Mathematics in Operational Research 30 (1), 22-45 , 2025 2025 Citations: 3
Retailer’s optimal pricing and replenishment policy for new product and buy back policy for used product with price and time dependent demand and shortages KT Shukla, DK Katariya Journal of statistics and management systems 27 (3), 681-701 , 2024 2024
SUSTAINABLE INVENTORY POLICIES FOR GREEN COSMETIC PRODUCTS WITH COMBINED ADVANTAGES OF THE EXHIBITION AND FREE SAMPLE OF PRODUCTS D KATARIYA, K SHUKLA, R PUJARA INTERNATIONAL JOURNAL OF PROCUREMENT MANAGEMENT 1 (1) , 2024 2024
Optimal green investments and replenishment decisions in vendor-managed inventory systems for non-instantaneous deteriorating products with partial backordering DK Katariya, KT Shukla International Journal of Business Performance and Supply Chain Modelling 15 … , 2024 2024 Citations: 2
Pricing and ordering strategy for new product and buyback strategy for used product from retailer's point DK Katariya, KT Shukla International Journal of Operational Research 50 (2), 148-169 , 2024 2024
Optimal deterioration control and greening level policies for perishable products under carbon tax DK Katariya, KT Shukla, ND Abhangi, SH Bhatt LogForum 20 (2) , 2024 2024 Citations: 1
An EPQ model for delay deteriorating products with price, freshness and greening efforts dependent demand under markdown strategy DK Katariya, KT Shukla Yugoslav Journal of Operations Research 34 (1), 155-176 , 2024 2024 Citations: 4
An EOQ model for deteriorating products with green technology investment and trade credit financing DK Katariya, KT Shukla International Journal of Procurement Management 18 (3), 300-320 , 2023 2023 Citations: 10
SUSTAINABLE ECONOMIC PRODUCTION QUANTITY (SEPQ) MODEL FOR INVENTORY HAVING GREEN TECHNOLOGY INVESTMENTS-PRICE SENSITIVE DEMAND WITH EXPIRATION DATES. D Katariya, K Shukla Economic Computation & Economic Cybernetics Studies & Research 56 (3) , 2022 2022 Citations: 20
Retailer’s Ordering and Pricing Strategy for New Product and Buyback Strategy for Used Product with Deterioration DK Katariya, KT Shukla International Journal of Operations Research 18 (2), 45-56 , 2021 2021 Citations: 2
RETAILER’S OPTIMAL INVENTORY STRATEGY FOR NEW PRODUCT AND BUY BACK STRATEGY FOR USED PRODUCT DK KATARIYA, KT SHUKLA 2021
General Approach of Retailer's Credit Period and Ordering Policy for Non-Instantaneous Deteriorating Items having Ramp-Type Demand Pattern. M Suthar, K Shukla Journal of Supply Chain Management Systems 9 , 2020 2020
Effects of Pre-and Post-Deterioration Price Discounts on Selling Price in Formulation of an Ordering Policy for an Inventory System: A Study M Suthar, KT Shukla Optimization and Inventory Management, 239-254 , 2019 2019 Citations: 1
Price Discounts on Selling Price in Formulation of an Ordering Policy for an Inventory System: A Study M Suthar, KT Shukla Optimization and Inventory Management, 239 , 2019 2019
Production inventory system for deteriorating items with trapezoidal type demand MS Suthar, KT Shukla, ND Abhanghi Bull Pure Appl Sci-Math Stat 38 (2), 540-549 , 2019 2019 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Deteriorating inventory model for waiting time partial backlogging NH Shah, KT Shukla Applied Mathematical Sciences 3 (9), 421-428 , 2009 2009 Citations: 57
SUSTAINABLE ECONOMIC PRODUCTION QUANTITY (SEPQ) MODEL FOR INVENTORY HAVING GREEN TECHNOLOGY INVESTMENTS-PRICE SENSITIVE DEMAND WITH EXPIRATION DATES. D Katariya, K Shukla Economic Computation & Economic Cybernetics Studies & Research 56 (3) , 2022 2022 Citations: 20
Supply chain inventory model for deteriorating items under two-level credit policy in declining market OK Gupta, NH Shah, KT Shukla International Journal of Applied Management Science 3 (2), 143-173 , 2011 2011 Citations: 15
Optimal production schedule in declining market for an imperfect production system NH Shah, KT Shukla International Journal of Machine Learning and Cybernetics 1 (1), 89-99 , 2010 2010 Citations: 15
Fuzzy Floyd’s Algorithm to Find Shortest Route between Nodes under Uncertain Environment KT SHUKLA International Journal of Mathematics and Computer Application Research 3 (5 … , 2013 2013 Citations: 12
Supply chain inventory model for optimal ordering and pricing policies under retailer’s partial trade credit scenario in declining market NH Shah, KT Shukla Dynamics of Continuous, Discrete and Impulsive System-Series B 17 (2), 309-324 , 2010 2010 Citations: 12
Deteriorating inventory model in demand declining market under inflation when supplier credits linked to order quantity NH Shah, KT Shukla Investigación Operacional 31 (2) , 2010 2010 Citations: 12
An EOQ model for deteriorating products with green technology investment and trade credit financing DK Katariya, KT Shukla International Journal of Procurement Management 18 (3), 300-320 , 2023 2023 Citations: 10
A framework for an inventory model for deteriorating items with expiration under trapezoidal-type demand and partial backlogging KT Shukla, MS Suthar Logforum 12 (3), 269-281 , 2016 2016 Citations: 10
Deteriorating inventory model for two-level credit linked demand under permissible delay in payments NH Shah, KT Shukla, BJ Shah Australian Society of Operational Research Bulletin 28, 27-36 , 2009 2009 Citations: 10
PRICING AND ORDERING POLICY FOR DETERIORATING INVENTORY SYSTEM WITH PRICE SENSITIVE RAMPTYPE DEMAND, PRE AND POST DETERIORATION DISCOUNTS MS Suthar, KT Shukla Investigación Operacional 40 (2) , 2019 2019 Citations: 9
Optimal ordering policy in demand declining market under inflation when supplier credits linked to order quantity NH Shah, KT Shukla Electronic Journal of Applied Statistical Analysis 4 (2), 131-143 , 2011 2011 Citations: 7
An EPQ model for delay deteriorating products with price, freshness and greening efforts dependent demand under markdown strategy DK Katariya, KT Shukla Yugoslav Journal of Operations Research 34 (1), 155-176 , 2024 2024 Citations: 4
A sustainable production inventory model for perishable products under the markdown approach and carbon emission reduction investments DK Katariya, KT Shukla Sustainable Inventory Management: Perspectives from India, 147-175 , 2025 2025 Citations: 3
Optimal greening efforts, pricing and inventory strategies for non-instantaneous deteriorating perishable products under price, freshness and green efforts dependent demand … DK Katariya, KT Shukla International Journal of Mathematics in Operational Research 30 (1), 22-45 , 2025 2025 Citations: 3
Retailer’s optimal credit period and ordering policy for non-instantaneous deteriorating items with trapezoidal type demand MS Suthar, KT Shukla J Supply Chain Manag Syst 7 (2), 26-36 , 2018 2018 Citations: 3
Deteriorating Inventory Model for Optimal Ordering and Pricing Policies under Retailer Partial Trade Credit in Supply Chain When Demand Decreases NH Shah, KT Shukla Modeling, Measurement and Control, Series D 30 (2), 49-63 , 2009 2009 Citations: 3
Optimal Pricing for Substitute Products with Deterioration Constraints AH Rathod, KT Shukla, DK Katariya Indian Journal of Natural Sciences 15 (88), 89651-89665 , 2025 2025 Citations: 2
Optimal green investments and replenishment decisions in vendor-managed inventory systems for non-instantaneous deteriorating products with partial backordering DK Katariya, KT Shukla International Journal of Business Performance and Supply Chain Modelling 15 … , 2024 2024 Citations: 2
Retailer’s Ordering and Pricing Strategy for New Product and Buyback Strategy for Used Product with Deterioration DK Katariya, KT Shukla International Journal of Operations Research 18 (2), 45-56 , 2021 2021 Citations: 2