A production inventory model with interval-valued carbon emission parameters under price-sensitive demand

Ruidas, Subhendu; Seikh, Mijanur Rahaman; Nayak, Prasun Kumar

doi:10.1016/j.cie.2021.107154

Cited by 77 publications

(25 citation statements)

References 50 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%

“…Recently, Sarkar and Bhuniya 65 formulated a sustainable a manufacturing‐remanufacturing model considering green and service investment. In this connection, some related works of Yang et al, 66 Chen and Bidanda, 67 Daryanto et al, 68 Wee and Daryanto, 19 Gautam and Khanna, 50 Ruidas et al, 39 Ali et al, 24 Das et al, 32 and Manna et al 69 may be referred. Existing literatures related to this proposed work have been quoted in Table 1.…”

Section: Introductionmentioning

confidence: 97%

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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: Introductionmentioning

confidence: 97%

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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“…Ji et al (2017) established the Stackelberg model, studied the offline‐to‐online supply chain under three different initial carbon quota allocation rules, analyzed the impact of different quota allocation methods on enterprises' decision‐making, profits, and social welfare, and realized supply chain coordination. Ruidas et al (2021) made joint decisions on inventory, pricing, financing, and ordering under different carbon emission trading and regulatory policies, to achieve the sustainable development of the supply chain. S. Y. Wang and Choi (2020) adopted the newsboy model under the carbon quota and trade mechanism to analyze the conditions for achieving Pareto improvement of supply chain members' profits under different contracts.…”

Section: Literature Reviewmentioning

confidence: 99%

Design and selection of carbon quota mechanisms from the perspective of carbon trading

Yu,

Sun,

Zhao

et al. 2023

Manage Decis Econ

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The research shows that when the initial carbon emission per unit product and the emission reduction cost coefficient achieve a certain combination range, the two carbon quota mechanisms will be effective, and its feasible range will be larger. Further, compared with the carbon quota mechanism based on output, manufacturers and retailers will always increase the sales price and wholesale price of products under the carbon quota mechanism based on emission reduction technology but will reduce the emission reduction per unit product. The government will also reduce its total carbon quota under the carbon quota mechanism based on emission reduction technology.

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“…It was introduced by Eberhart and Kennedy [30], improved by many authors to deal with all kinds of optimization problems. It has shown high efficiency in finding optimal points in various disciplines (Poli et al [31], Ruidas et al [32,33]). The PSO algorithm is derivative-free.…”

Section: Particle Swarm Optimization Algorithmmentioning

confidence: 99%

Robust Optimum Life-Testing Plans under Progressive Type-I Interval Censoring Schemes with Cost Constraint

2022

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This paper considers optimal design problems for the Weibull distribution, which can be used to model symmetrical or asymmetrical data, in the presence of progressive interval censoring in life-testing experiments. Two robust approaches, Bayesian and minimax, are proposed to deal with the dependence of the D-optimality and c-optimality on the unknown model parameters. Meanwhile, the compound design method is applied to ensure a compromise between the precision of estimation of the model parameters and the precision of estimation of the quantiles. Furthermore, to make the design become more practical, the cost constraints are taken into account in constructing the optimal designs. Two algorithms are provided for finding the robust optimal solutions. A simulated example and a real life example are given to illustrate the proposed methods. The sensitivity analysis is also studied. These new design methods can help the engineers to obtain robust optimal designs for the censored life-testing experiments.

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A production inventory model with interval-valued carbon emission parameters under price-sensitive demand

Cited by 77 publications

References 50 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

Design and selection of carbon quota mechanisms from the perspective of carbon trading

Robust Optimum Life-Testing Plans under Progressive Type-I Interval Censoring Schemes with Cost Constraint

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