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Title: Modeling of a carbon emitted production inventory system with interval uncertainty via meta-heuristic algorithms
Authors: Manna, Amalesh Kumar
Rahman, Md Sadikur
Shaikh, Ali Akbar
Bhunia, Asoke Kumar
Konstantaras, Ioannis
Type: Article
Subjects: FRASCATI::Natural sciences::Mathematics::Applied Mathematics
FRASCATI::Social sciences::Economics and Business::Industrial relations
Issue Date: 27-Feb-2022
Source: Applied Mathematical Modelling
Volume: 106
First Page: 343
Last Page: 368
Abstract: Modeling of a production inventory system under uncertain economic situation is a difficult task. Tackling this difficulty, the proposed work attempts to formulate a production inventory model with time dependent defective rate, greenness of the product dependent demand and production rates under interval uncertainty. Consideration of carbon emission during the production with interval valued time dependent emission rate is also an important feature of the proposed model. Furthermore, reduction technology is taken into the account for reducing the large scale of carbon emission. The proposed model is formulated mathematically with the help of interval differential equations and interval parametric approach. Thereafter, various interval valued cost components as well as average profit related to the model are obtained using interval mathematics. To handle the interval valued average profit, center-radius technique of interval optimization is applied. To verify the validity of the developed model, four numerical examples are considered and solved by meta-heuristic algorithms. Also, sensitivity analyses are carried out on the best found policy with respect to different system parameters of this model.
ISSN: 0307-904X
Other Identifiers: 10.1016/j.apm.2022.02.003
Appears in Collections:Department of Business Administration

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