An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach
In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and constraint f...
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doaj-cb452ff39f61491abd0638738a405da12020-11-25T01:40:41ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2018-09-012193109doi.org/10.5281/zenodo.1408663An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming ApproachChaitali KarBappa MondalTapan Kumar RoyIn this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and constraint functions are defined by the truth (membership) degree, indeterminacy (hesitation) degree and falsity (non-membership) degree. Likewise, a non-linear programming problem with a constraint is also considered. Then these are solved by Neutrosophic Geometric Programming Technique for linear membership, hesitation and non-membership functions. Also the solution procedure for Neutrosophic Non-linear Programming Problem is proposed by using additive operator and Geometric Programming method. Numerical examples are presented to illustrate the models using the proposed procedure and the results are compared with the results obtained by other optimization techniques.http://fs.unm.edu/NSS/AnInventoryModelUnderSpaceConstraint.pdfNeutrosophic SetsNon-linear ProgrammingInventoryAdditive OperatorGeometric ProgrammingNeutrosophic Optimization |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chaitali Kar Bappa Mondal Tapan Kumar Roy |
spellingShingle |
Chaitali Kar Bappa Mondal Tapan Kumar Roy An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach Neutrosophic Sets and Systems Neutrosophic Sets Non-linear Programming Inventory Additive Operator Geometric Programming Neutrosophic Optimization |
author_facet |
Chaitali Kar Bappa Mondal Tapan Kumar Roy |
author_sort |
Chaitali Kar |
title |
An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach |
title_short |
An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach |
title_full |
An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach |
title_fullStr |
An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach |
title_full_unstemmed |
An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach |
title_sort |
inventory model under space constraint in neutrosophic environment: a neutrosophic geometric programming approach |
publisher |
University of New Mexico |
series |
Neutrosophic Sets and Systems |
issn |
2331-6055 2331-608X |
publishDate |
2018-09-01 |
description |
In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and constraint functions are defined by the truth (membership) degree, indeterminacy (hesitation) degree and falsity (non-membership) degree. Likewise, a non-linear programming problem with a constraint is also considered. Then these are solved by Neutrosophic Geometric Programming Technique for linear membership, hesitation and non-membership functions. Also the solution procedure for Neutrosophic Non-linear Programming Problem is proposed by using additive operator and Geometric Programming method. Numerical examples are presented to illustrate the models using the proposed procedure and the results are compared with the results obtained by other optimization techniques. |
topic |
Neutrosophic Sets Non-linear Programming Inventory Additive Operator Geometric Programming Neutrosophic Optimization |
url |
http://fs.unm.edu/NSS/AnInventoryModelUnderSpaceConstraint.pdf |
work_keys_str_mv |
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