Carbon emission sensitive deteriorating inventory model with trade credit under volumetric fuzzy system

Author(s):  
Sujit Kumar De ◽  
Gour Chandra Mahata ◽  
Suman Maity
2020 ◽  
Vol 8 (5) ◽  
pp. 5330-5337

Now a day, government is more concerned about the environment, so inventory model for deteriorating product for multi-product with partial backlogging is modeled here by considering carbon emission cost under the influence of inflation. It is also assumed buyer have sufficient amount of money to pay the vendor in the beginning of the business but still buyer focus to avail the offer of trade credit offered by vendor. As demand of many products such as fashionable products, cold drinks etc., get stabilized after the acceptance by the market and take the form of ramp-type. So, while developing the model, ramp-type initial stock-dependent demand is considered. As the life time of the product is finite so finite planning horizon is considered here. To obtain the optimal solution, search algorithm is provided. To illustrate and validate the model, numerical example is provided. Further, to study the effect of important parameters, sensitive analysis is also carried.


2020 ◽  
Vol 9 (9) ◽  
pp. 7501-7514
Author(s):  
V. Kumar ◽  
A. Sharma ◽  
A. Kumar ◽  
C. B. Gupta

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 495
Author(s):  
Umakanta Mishra ◽  
Abu Hashan Md Mashud ◽  
Ming-Lang Tseng ◽  
Jei-Zheng Wu

This study investigated how greenhouse managers should invest in preservation and green technologies and introduce trade credit to increase their profits. We propose a supply chain inventory model with controllable deterioration and emission rates under payment schemes for shortage and surplus, where demand depends on price and trade credit. Carbon emissions and deterioration are factors affecting global warming, and many greenhouse managers have focused on reducing carbon emissions. Carbon caps and tax-based incentives have been used in many greenhouses to achieve such reduction. Because of the importance of reducing carbon emissions for developing a green supply chain, various studies have investigated how firms deal with carbon emission constraints. In this continuation, we have used green technology to curb the excessive emissions from the environment or make it clean from CO2. In a seller–buyer relationship, the seller can offer a trade credit period to the buyer to manage stock and stimulate demand. Deterioration may become a challenge for most firms as they are under time constraints control, and preservation technology could help. This study proposes three novel inventory strategies for a sustainable supply chain (full backorder, partial backorder, and no backorder), linking all these important issues. The solution optimizes total annual profit for inventory shortage or surplus. We conducted a numerical study with three examples to evaluate the model’s authenticity and effectiveness and demonstrate the solution technique. The deterioration and emission rates can be included in a trade credit policy to increase greenhouse profits. The results suggest that greenhouse managers could apply the proposed model to manage real-world situations.


Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ranu Singh ◽  
Vinod Kumar Mishra

Purpose Carbon emission is a significant issue for the current business market and global warming. Nowadays, most countries have focused to reduce the environmental impact of business with durable financial benefits. The purpose of this study is to optimize the entire cost functions with carbon emission and to find the sustainable optimal ordering quantity for retailers. Design/methodology/approach This paper illustrates a sustainable inventory model having a set of two non-instantaneous substitutable deteriorating items under joint replenishment with carbon emission. In this model demand and deterioration rate are considered as deterministic, constant and triangular fuzzy numbers. The objective is to find the optimal ordering quantity for retailers and to minimize the total cost function per unit time with carbon emission. The model is then solved with the help of Maple software. Findings This paper presents a solution method and also develop an algorithm to determine the order quantities which optimize the total cost function. A numerical experiment illustrates the improvement in optimal total cost of the inventory model with substitution over without substitution. The graphical results show the convexity of the cost function. Finally, sensitivity analysis is given to get the impact of parameters and validity of the model. Originality/value This study considers a set of two non-instantaneous substitutable deteriorating items under joint replenishment with carbon emission. From the literature review, in the authors’ knowledge no researcher has undergone this kind of study.


2020 ◽  
Vol 139 ◽  
pp. 105557 ◽  
Author(s):  
Leopoldo Eduardo Cárdenas-Barrón ◽  
Ali Akbar Shaikh ◽  
Sunil Tiwari ◽  
Gerardo Treviño-Garza

2005 ◽  
Vol 5 (6) ◽  
pp. 978-982
Author(s):  
Chaang-Yung Kung ◽  
Yung-Fu Huang .
Keyword(s):  

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