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A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System

This article deals with an economic production quantity (EPQ) model with deterioration under the effect of environmental pollution in fuzzy environment. First of all, we develop a pollution generation (PG) model with the help of existing initial pollution status of the environment, and then we use i...

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Autores principales: De, Sujit Kumar, Bhattacharya, Kousik
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8758230/
https://www.ncbi.nlm.nih.gov/pubmed/35043023
http://dx.doi.org/10.1007/s10957-021-01979-9
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author De, Sujit Kumar
Bhattacharya, Kousik
author_facet De, Sujit Kumar
Bhattacharya, Kousik
author_sort De, Sujit Kumar
collection PubMed
description This article deals with an economic production quantity (EPQ) model with deterioration under the effect of environmental pollution in fuzzy environment. First of all, we develop a pollution generation (PG) model with the help of existing initial pollution status of the environment, and then we use it as an essential constraint in the proposed EPQ model. The model has also been studied in two different scenarios: (a) when unit selling price is given and (b) when unit selling price is associated with marginal profit respectively. However, in this article, the concept of manpower exploitation, law of surplus value and their impacts on profit function has been discussed. In fact, after the invention of Marxian production theory (1867), not a single article has been developed for studying inventory management problems/operations research using this theory. Thus, in this study, focussing Marxian principle we have developed a new production inventory model named Marxian economic production quantity (M-EPQ) model incorporating the extensions of the models developed by Harris (Mag Manag 10(2):135–136, 1913) and Taft (Iron Age 101:1410–1412, 1918) exclusively. Moreover, to deal with the non-random uncertainties of several cost components of production process we have utilized fuzzy system explicitly. A case study has been performed for numerical illustrations and we have developed a solution algorithm for numerical computations. Finally, sensitivity analysis and graphical illustrations are made to validate the new M-EPQ model followed by a conclusion.
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spelling pubmed-87582302022-01-14 A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System De, Sujit Kumar Bhattacharya, Kousik J Optim Theory Appl Article This article deals with an economic production quantity (EPQ) model with deterioration under the effect of environmental pollution in fuzzy environment. First of all, we develop a pollution generation (PG) model with the help of existing initial pollution status of the environment, and then we use it as an essential constraint in the proposed EPQ model. The model has also been studied in two different scenarios: (a) when unit selling price is given and (b) when unit selling price is associated with marginal profit respectively. However, in this article, the concept of manpower exploitation, law of surplus value and their impacts on profit function has been discussed. In fact, after the invention of Marxian production theory (1867), not a single article has been developed for studying inventory management problems/operations research using this theory. Thus, in this study, focussing Marxian principle we have developed a new production inventory model named Marxian economic production quantity (M-EPQ) model incorporating the extensions of the models developed by Harris (Mag Manag 10(2):135–136, 1913) and Taft (Iron Age 101:1410–1412, 1918) exclusively. Moreover, to deal with the non-random uncertainties of several cost components of production process we have utilized fuzzy system explicitly. A case study has been performed for numerical illustrations and we have developed a solution algorithm for numerical computations. Finally, sensitivity analysis and graphical illustrations are made to validate the new M-EPQ model followed by a conclusion. Springer US 2022-01-14 2022 /pmc/articles/PMC8758230/ /pubmed/35043023 http://dx.doi.org/10.1007/s10957-021-01979-9 Text en © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
De, Sujit Kumar
Bhattacharya, Kousik
A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System
title A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System
title_full A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System
title_fullStr A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System
title_full_unstemmed A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System
title_short A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System
title_sort pollution sensitive marxian production inventory model with deterioration under fuzzy system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8758230/
https://www.ncbi.nlm.nih.gov/pubmed/35043023
http://dx.doi.org/10.1007/s10957-021-01979-9
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