Umakanta Mishra
@vit.ac.in
Assistant Professor of Mathematics at
VIT University Vellore, Tamil Nadu, India.
RESEARCH INTERESTS
Supply Chain
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Ezhilarasan Peter John and Umakanta Mishra
Elsevier BV
Abin Thomas and Umakanta Mishra
Elsevier BV
Najaf Ali Wani and Umakanta Mishra
Springer Science and Business Media LLC
Vishnupriya Kalathil Sahadevan and Umakanta Mishra
Springer Science and Business Media LLC
Najaf Ali Wani and Umakanta Mishra
Elsevier BV
Vishnupriya Kalathil Sahadevan and Umakanta Mishra
Informa UK Limited
Neha Saxena, Jitendra Kumar, Umakanta Mishra, Biswajit Sarkar, and Kapil Kumar
EDP Sciences
Greenhouse gas emissions contribute significantly to global warming. This occurs during various operations, including the production, storage, and transportation of an inventory, but in some cases, the inventory itself becomes the emission source. Emissions from cattle dunk cakes, livestock slurry, manure, crude oil, and gasoline can be considered examples of this type of emissions. This paper proposes a mathematical formulation for a deteriorating inventory model utilizing the inventory as a source of emissions. The model is developed under inflation. Other activities, such as energy consumption for warehousing, are considered to be contributing to greenhouse gas emissions here. The rate of emissions from the product is exponentially governed by the rate of deterioration and the age of the material. The trapezoidal-type demand rate is considered using the Heaviside step function. Shortages are permitted but partially backlogged, and the backlogging rate is supposed to be decreasing exponentially with the increased waiting time. The numerical illustration of the model is provided to illustrate the mathematical expressions, and the effect of parametric variation is reported to give managerial insights. The results reveal that the greenhouse gas emissions are proportional to the variable rate of emissions cost and the deterioration rate. However, the increment in total emissions with respect to variable emissions cost increases with the deterioration rate. If the deterioration rate is negligible, total carbon emissions do not fluctuate much, but it increases rapidly if it is relatively high. The preservation technology is used to reduce deterioration and helps reduce emissions.
Wakhid Ahmad Jauhari, Shabrina Chairunnisa Novia Ramadhany, Cucuk Nur Rosyidi, Umakanta Mishra, and Hawa Hishamuddin
Elsevier BV
Alpesh Kumar Dauda, Ambarish Panda, and Umakanta Mishra
Elsevier BV
Ezhilarasan Peter John and Umakanta Mishra
Springer Science and Business Media LLC
Ambarish Panda and Umakanta Mishra
Elsevier BV
Ezhilarasan Peter John and Umakanta Mishra
Elsevier BV
G. Durga Bhavani, Umakanta Mishra, and G. S. Mahapatra
Springer Science and Business Media LLC
Umakanta Mishra, Abu Hashan Md Mashud, Sankar Kumar Roy, and Md Sharif Uddin
American Institute of Mathematical Sciences (AIMS)
<p style='text-indent:20px;'>Price rebate is only permitted when purchases made by the customer exceed a predefined limit and they later buy other items from the purchaser. There are various forms of rebate used by production companies. This study provides a deteriorating inventory model of four-level production rates and derives the rebate-value-based demand with the product selling price under shortages. This model gives preference to optimal replenishment time, ordering quantity, rebate value, and selling price while maximizing total profit. This model first explores and discusses the demand function, which discretely hinges on the selling price of rebate value, followed by discussions on demand based on the selling price. This study proposes a solution through unique propositions and the construction of two algorithms that are suitable for four-level production; this has not yet been explored in-depth in the literature. Illustrative examples and a sensitivity analysis demonstrate the applicability of the proposed algorithms; the customer decides to buy a product that is larger than the minimum suitable for a price rebate and the buyer can then deal with a higher price rebate. The benefit of rebate marketing helps production companies increases conversion rates and encourages customers to purchase goods. This model demonstrates that proposing rebates can consume substantial pricing and inventory inferences and can result in a substantial increase in profit.</p>
Najaf Ali Wani and Umakanta Mishra
Elsevier BV
Abin Thomas and Umakanta Mishra
Elsevier BV
Abu Hashan Md Mashud, Dipa Roy, Yosef Daryanto, Umakanta Mishra, and Ming-Lang Tseng
Elsevier BV
Rofin T.M., Umakanta Mishra, and Jei-Zheng Wu
MDPI AG
The skyrocketing growth of e-commerce and traditional retailing contributes to a large proportion of carbon emissions in any supply chain. Nevertheless, the literature related to carbon emission has focused on manufacturers and their potential for emission reduction. Therefore, it is imperative to understand the role of the retailing sector in reducing carbon emissions. Therefore, this study considers emission-sensitive demands which are faced by an r-store (brick and mortar retailer) and an e-store (online retailer) under different channel power structures. The competition between the channel members is modeled using game theory for the following channel structures, i.e., (i) r-store and e-store have commensurate channel power, (ii) r-store holds higher channel power, and (iii) e-store holds higher channel power. Equilibrium analysis was carried out to obtain the optimal pricing strategies and the r-store’s optimal profit and e-store. Further, the pricing strategies and resulting sales volumes were compared analytically and followed by a numerical validation. Three subcases were considered under numerical examples based on the parameter values with special reference to the base demand. It was found that competition between the r-store and the e-store having commensurate channel power will make them worse off. Therefore, the channel leadership is neither helping the r-store nor the e-store obtain more profit when the customer demand is emission sensitive.
Abin Thomas and Umakanta Mishra
Elsevier BV
Ming-Lang Tseng, Tat-Dat Bui, Ming K. Lim, Minoru Fujii, and Umakanta Mishra
Elsevier BV
Arash Sepehri, Umakanta Mishra, and Biswajit Sarkar
Elsevier BV
Ambarish Panda, Kathleen B. Aviso, Umakanta Mishra, and Ipseeta Nanda
Wiley
Abu Hashan Md Mashud, Magfura Pervin, Umakanta Mishra, Yosef Daryanto, Ming-Lang Tseng, and Ming K. Lim
Elsevier BV