Production-inventory model with price-sensitive demand, volume agility and investment in preservation technology

2021 ◽  
Vol 11 (2/3) ◽  
pp. 159
Author(s):  
N.A. Rini ◽  
K.M. Kamna ◽  
N.A. Priyamvada
2019 ◽  
Vol 11 (18) ◽  
pp. 5027 ◽  
Author(s):  
Shen ◽  
Shen ◽  
Yang

The increase in carbon emissions is considered one of the major causes of global warming and climate change. To reduce the potential environmental and economic threat from such greenhouse gas emissions, governments must formulate policies related to carbon emissions. Most economists favor the carbon tax as an approach to reduce greenhouse gas emissions. This market-based approach is expected to inevitably affect enterprises’ operating activities such as production, inventory, and equipment investment. Therefore, in this study, we investigate a production inventory model for deteriorating items under a carbon tax policy and collaborative preservation technology investment from the perspective of supply chain integration. Our main purpose is to determine the optimal production, delivery, ordering, and investment policies for the buyer and vendor that maximize the joint total profit per unit time in consideration of the carbon tax policy. We present several numerical examples to demonstrate the solution procedures, and we conduct sensitivity analyses of the optimal solutions with respect to major parameters for identifying several managerial implications that provide a useful decision tool for the relevant managers. We hope that the study results assist government organizations in selecting a more appropriate carbon emissions policy for the carbon reduction trend.


Author(s):  
Umakanta Mishra ◽  
Jacobo Tijerina-Aguilera ◽  
Sunil Tiwari ◽  
Leopoldo Eduardo Cárdenas-Barrón

This paper deals with an economic production quantity (EPQ) inventory model for deteriorating items under preservation technology. The preservation technology is used to protect the items from deterioration. Three different production levels are considered. It is assumed that initially the production rate is at lower rate and it increases gradually over the period. This is just in order to reduce the holding cost by avoiding the larger stock quantity in the beginning of production cycle. The shortages are permitted and fully backordered. The objective of the production inventory model is to determine optimal production policy which minimizes the manufacturer’s total cost. Theoretical results are established in order to demonstrate the existence of the optimal solution and a proper solution procedure is presented. A numerical example and a sensitivity analysis are presented to validate the theoretical results. Also, some managerial insights are provided.


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