Carbon emission controlled investment and warranty policy based production inventory model via meta-heuristic algorithms

Manna, Amalesh Kumar; Das, Subhajit; Shaikh, Ali Akbar; Bhunia, Asoke Kumar; Moon, Ilkyeong

doi:10.1016/j.cie.2023.109001

Cited by 21 publications

(5 citation statements)

References 66 publications

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“…Thereafter, Khatua and Maity, 36 Dhaiban, 37 and Roul et al 38 developed production inventory models using various marketing policies considering production rate as a function of time. After that, Ruidas et al 39 and Manna et al 25 considered demand rate dependent production rate in their respective proposed production models. Later, References Das et al, [40][41][42] and Das et al, 43 developed imperfect production inventory models considering time-varying production rates.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Later, References Das et al, [40][41][42] and Das et al, 43 developed imperfect production inventory models considering time-varying production rates. Further, Manna et al 25 formulated a production inventory model considering interval valued production rate. Recently, Ali et al 24 and Das et al 44 considered time dependent production rate in their proposed production inventory models.…”

Section: Literature Reviewmentioning

confidence: 99%

“…On the same year, Jauhari et al 53,54 developed various production inventory models considering imperfect production. Recently, Ali et al, 24 Manna et al, 25 Raiya and Mittal, 55 Das et al, 44 developed various production inventory systems considering imperfect production.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Succeeding them, Ali et al 24 applied optimal control theory to navigate optimal policy of a green imperfect production system under emission reduction investment policy. Further, Manna et al 25 formulated a production model of nondeteriorating item under warranty policy and emission taxation regulation. Recently, Pan et al, 26 Handayani et al, 27 Su et al, 28 Ghosh, 29 Alharbi, 30 Mahato et al, 31 Das et al, 32 and De‐la‐Cruz‐Márquez et al 33 have recently published several production inventory models considering the effect of carbon emission.…”

Section: Introductionmentioning

confidence: 99%

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Impact of emission and service constraint for an imperfect production system under two level Hamiltonian

Das

Ali

Shaikh

et al. 2023

Optim Control Appl Methods

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Considering the impact of emission on environment, over the last few decades, reduction of emission during production process (or emission free production process) appears to be one of the most growing preferences for every manufacturing firm. Again, manufacturing companies of different products are bounded to offer various facilities to their consumers in order to survive in the current highly competitive market situation. Primarily considering these two factors taken in to account, this study addresses an imperfect manufacturing inventory model in which customers' demand increases linearly w. r. to emission reduction level, service level from the manufacturer and decreases nonlinearly w. r. to price of the items. The analytical expressions of production rates, emission levels and service levels are derived by solving a number of optimum control problems using Hamiltonian maximum principle with a values for the business period and selling price. The basic goal is to maximize the average profit of the system. In addition, a number of numerical examples are considered to elaborate four distinct instances involved in the proposed model and these are solved numerically using teaching learning based optimization algorithm. Finally, sensitivity experiment is performed to investigate the influence of various system factors on the best‐found policies. The sensitivity analysis indicates that service rate provided by the manufacturer and selling price of the items impose a huge impact on the average profit of the system. Further, the carbon reduction affects the revenue of the system less significantly.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Impact of emission and service constraint for an imperfect production system under two level Hamiltonian

Das

Ali

Shaikh

et al. 2023

Optim Control Appl Methods

Self Cite

View full text Add to dashboard Cite

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“…Razzaq et al 53 analysed the effects of green innovation and tourism development on emissions of carbon and economic growth in the top ten GDP countries. Manna et al 54 solved a warranty and carbon emission reduction investment-based production problem by using meta-heuristic algorithms. Gao et al 55 studied a supply chain network design considering carbon cap and trade policy.…”

Section: Introductionmentioning

confidence: 99%

Impact of warranty and green level of the product with nonlinear demand via optimal control theory and Artificial Hummingbird Algorithm

Ali,

Akhtar,

Manna

et al. 2024

Sci Rep

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Due to the current environmental situation and human health, a green manufacturing system is very essential in the manufacturing world. Several researchers have developed various types of green manufacturing models by considering green products, green investments, carbon emission taxes, etc. Motivated by this topic, a green production model is formulated by considering selling price, time, warranty period and green level dependent demand with a carbon emission tax policy. Also, the production rate of the system is an unknown function of time. Per unit production cost of the products is taken as increasing function of production rate and green level of the products. In our proposed model, carbon emission rate is taken as linear function of time. Then, an optimization problem of the production model is constructed. To validate of our proposed model, a numerical example is considered and solved it by AHA. Further, other five metaheuristics algorithms (AEFA, FA, GWOA, WOA and EOA) are taken to compare the results obtained from AHA. Also, concavity of the average profit function and convergence graph of different metaheuristics algorithms are presented. Finally, a sensitivity analysis is carried out to investigate the impact of different system parameters on our optimal policy and reach a fruitful conclusion from this study.

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A systematic literature review of imperfect quality items: challenges, opportunities, and insights with reference to SDGs

Gautam,

Maheshwari,

Hasan

et al. 2024

Ann Oper Res

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Carbon emission controlled investment and warranty policy based production inventory model via meta-heuristic algorithms

Cited by 21 publications

References 66 publications

Impact of emission and service constraint for an imperfect production system under two level Hamiltonian

Impact of emission and service constraint for an imperfect production system under two level Hamiltonian

Impact of warranty and green level of the product with nonlinear demand via optimal control theory and Artificial Hummingbird Algorithm

A systematic literature review of imperfect quality items: challenges, opportunities, and insights with reference to SDGs

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