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Bilevel transportation problem in neutrosophic environment
In the current times of the predominance of COVID-19, almost all the countries are conducting inoculation drives. Given the market’s inability to compute how much to manufacture, how to transport and the frequently changing demand, the cost of safely and timely transporting the vaccines from factory...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8741548/ http://dx.doi.org/10.1007/s40314-021-01711-3 |
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author | Singh, Aakanksha Arora, Ritu Arora, Shalini |
author_facet | Singh, Aakanksha Arora, Ritu Arora, Shalini |
author_sort | Singh, Aakanksha |
collection | PubMed |
description | In the current times of the predominance of COVID-19, almost all the countries are conducting inoculation drives. Given the market’s inability to compute how much to manufacture, how to transport and the frequently changing demand, the cost of safely and timely transporting the vaccines from factory to syringe is currently indeterminate. In this paper, we formulate this situation using a bilevel transportation problem with neutrosophic numbers (BLTP-NN). The problem comes from a vaccine manufacturing company where the vaccine is produced and then transported to different distribution centres from where it is further transported to various health centres for the conduction of their vaccination drive. The authors have tried to perceive this situation from two perspectives by formulating two different problems. The first problem is a bilevel linear fractional transportation problem which aims at minimizing the transportation cost in proportion to per unit maximization of quantity transported. The second problem is a bilevel indefinite quadratic transportation problem which aims at minimizing the transportation cost and depreciation cost. In both problems, cost coefficients are neutrosophic numbers along with availabilities and demands in the constraint set. These formulated bilevel transportation problems in neutrosophic environment are solved using goal programming strategy to arrive at a satisfactory solution. The relevance of this work is to help the decision makers in budgeting their finances related to the transportation by strategic disbursement leading to a smooth administration of vaccination program. |
format | Online Article Text |
id | pubmed-8741548 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-87415482022-01-10 Bilevel transportation problem in neutrosophic environment Singh, Aakanksha Arora, Ritu Arora, Shalini Comp. Appl. Math. Article In the current times of the predominance of COVID-19, almost all the countries are conducting inoculation drives. Given the market’s inability to compute how much to manufacture, how to transport and the frequently changing demand, the cost of safely and timely transporting the vaccines from factory to syringe is currently indeterminate. In this paper, we formulate this situation using a bilevel transportation problem with neutrosophic numbers (BLTP-NN). The problem comes from a vaccine manufacturing company where the vaccine is produced and then transported to different distribution centres from where it is further transported to various health centres for the conduction of their vaccination drive. The authors have tried to perceive this situation from two perspectives by formulating two different problems. The first problem is a bilevel linear fractional transportation problem which aims at minimizing the transportation cost in proportion to per unit maximization of quantity transported. The second problem is a bilevel indefinite quadratic transportation problem which aims at minimizing the transportation cost and depreciation cost. In both problems, cost coefficients are neutrosophic numbers along with availabilities and demands in the constraint set. These formulated bilevel transportation problems in neutrosophic environment are solved using goal programming strategy to arrive at a satisfactory solution. The relevance of this work is to help the decision makers in budgeting their finances related to the transportation by strategic disbursement leading to a smooth administration of vaccination program. Springer International Publishing 2022-01-08 2022 /pmc/articles/PMC8741548/ http://dx.doi.org/10.1007/s40314-021-01711-3 Text en © The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2022 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 Singh, Aakanksha Arora, Ritu Arora, Shalini Bilevel transportation problem in neutrosophic environment |
title | Bilevel transportation problem in neutrosophic environment |
title_full | Bilevel transportation problem in neutrosophic environment |
title_fullStr | Bilevel transportation problem in neutrosophic environment |
title_full_unstemmed | Bilevel transportation problem in neutrosophic environment |
title_short | Bilevel transportation problem in neutrosophic environment |
title_sort | bilevel transportation problem in neutrosophic environment |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8741548/ http://dx.doi.org/10.1007/s40314-021-01711-3 |
work_keys_str_mv | AT singhaakanksha bileveltransportationprobleminneutrosophicenvironment AT aroraritu bileveltransportationprobleminneutrosophicenvironment AT arorashalini bileveltransportationprobleminneutrosophicenvironment |