Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment

In this paper, we have developed the multi-item inventory model in the fuzzy environment. Here we considered the demand rate is constant and production cost is dependent on the demand rate. Set-up- cost is dependent on average inventory level as well as demand. Lead time crashing cost is considered...

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Autor principal:	Satya Das
Formato:	article
Lenguaje:	EN
Publicado:	Ayandegan Institute of Higher Education, 2020
Materias:	inventory multi-item leading time generalized trapezoidal fuzzy number fuzzy techniques gp technique Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/68de64e79f6d4ef2803cf93c57a5ca1d
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spelling	oai:doaj.org-article:68de64e79f6d4ef2803cf93c57a5ca1d2021-11-07T10:03:36ZMulti item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment2783-14422717-345310.22105/jfea.2020.254081.1025https://doaj.org/article/68de64e79f6d4ef2803cf93c57a5ca1d2020-09-01T00:00:00Zhttp://www.journal-fea.com/article_119244_d9d89ba4aab3e34f58ac8863394cab34.pdfhttps://doaj.org/toc/2783-1442https://doaj.org/toc/2717-3453In this paper, we have developed the multi-item inventory model in the fuzzy environment. Here we considered the demand rate is constant and production cost is dependent on the demand rate. Set-up- cost is dependent on average inventory level as well as demand. Lead time crashing cost is considered the continuous function of leading time. Limitation is considered on storage of space. Due to uncertainty all cost parameters of the proposed model are taken as generalized trapezoidal fuzzy numbers. Therefore this model is very real. The formulated multi objective inventory problem has been solved by various techniques like as Geometric Programming (GP) approach, Fuzzy Programming Technique with Hyperbolic Membership Function (FPTHMF), Fuzzy Nonlinear Programming (FNLP) technique and Fuzzy Additive Goal Programming (FAGP) technique. An example is given to illustrate the model. Sensitivity analysis and graphical representation have been shown to test the parameters of the model.Satya DasAyandegan Institute of Higher Education,articleinventorymulti-itemleading timegeneralized trapezoidal fuzzy numberfuzzy techniquesgp techniqueMathematicsQA1-939ENJournal of Fuzzy Extension and Applications, Vol 1, Iss 3, Pp 227-243 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	inventory multi-item leading time generalized trapezoidal fuzzy number fuzzy techniques gp technique Mathematics QA1-939
spellingShingle	inventory multi-item leading time generalized trapezoidal fuzzy number fuzzy techniques gp technique Mathematics QA1-939 Satya Das Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
description	In this paper, we have developed the multi-item inventory model in the fuzzy environment. Here we considered the demand rate is constant and production cost is dependent on the demand rate. Set-up- cost is dependent on average inventory level as well as demand. Lead time crashing cost is considered the continuous function of leading time. Limitation is considered on storage of space. Due to uncertainty all cost parameters of the proposed model are taken as generalized trapezoidal fuzzy numbers. Therefore this model is very real. The formulated multi objective inventory problem has been solved by various techniques like as Geometric Programming (GP) approach, Fuzzy Programming Technique with Hyperbolic Membership Function (FPTHMF), Fuzzy Nonlinear Programming (FNLP) technique and Fuzzy Additive Goal Programming (FAGP) technique. An example is given to illustrate the model. Sensitivity analysis and graphical representation have been shown to test the parameters of the model.
format	article
author	Satya Das
author_facet	Satya Das
author_sort	Satya Das
title	Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
title_short	Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
title_full	Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
title_fullStr	Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
title_full_unstemmed	Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
title_sort	multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment
publisher	Ayandegan Institute of Higher Education,
publishDate	2020
url	https://doaj.org/article/68de64e79f6d4ef2803cf93c57a5ca1d
work_keys_str_mv	AT satyadas multiiteminventorymodelincludeleadtimewithdemanddependentproductioncostandsetupcostinfuzzyenvironment
_version_	1718443551103123456

Multi item inventory model include lead time with demand dependent production cost and set-up-cost in fuzzy environment

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