A Production fuzzy Inventory model for deteriorating items Defuzzified by Graded Mean Integration Representation Method

AUTHOR AND
AFFILIATION

S. K. INDRAJITSINGHA (ski.rs.math@buodisha.edu.in)
DST INSPIRE fellow, P.G. Department of Mathematics, Berhampur University, Berhampur, Bhanja Bihar-760 007, Odisha (India)
P.N. SAMANTA
P.G. Department of Mathematics, Berhampur University, Berhampur, Bhanja Bihar-760 007, Odisha (India)
U.K. MISRA
Department of Mathematics, NIST, Golanthara, PalurHill, Pin-761 008, Berhampur, Odisha, (India)

KEYWORDS:

Inventory Model, Pentagonal Fuzzy Number, Graded Mean Integration Representation Method, Defuzzification, AMS Classification No: 03E72

Issue Date:

September, 2017

Pages:

388-400

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.29 – No.9

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DOI:

http://dx.doi.org/10.22147/jusps-A/290905

ABSTRACT:

This paper develops a production inventory model for deteriorating items under fuzzy environment. Since holding cost, set-up cost, deterioration cost, deterioration rate, production rate, demand etc. are uncertain in nature; these are carried by pentagonal fuzzy numbers. Graded Mean Integration Representation (GMIR) method is used to defuzzify the total cost function. Numerical example is given to explore the theoretical results and made the comprehensive. Sensitivity analysis with different parameters on the optimal solution is carried to illustrate the effectiveness and behavior of the model.

Copy the following to cite this Article:

S. K. Indrajitsingha; P. Samanta; U. Misra, “A Production fuzzy Inventory model for deteriorating items Defuzzified by Graded Mean Integration Representation Method”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 9, Page Number 388-400, 2017


Copy the following to cite this URL:

S. K. Indrajitsingha; P. Samanta; U. Misra, “A Production fuzzy Inventory model for deteriorating items Defuzzified by Graded Mean Integration Representation Method”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 9, Page Number 388-400, 2017

Available from: http://www.ultrascientist.org/paper/847/a-production-fuzzy-inventory-model-for-deteriorating-items-defuzzified-by-graded-mean-integration-representation-method


This paper develops a production inventory model for deteriorating items under fuzzy environment. Since holding cost, set-up cost, deterioration cost, deterioration rate, production rate, demand etc. are uncertain in nature; these are carried by pentagonal fuzzy numbers. Graded Mean Integration Representation (GMIR) method is used to defuzzify the total cost function. Numerical example is given to explore the theoretical results and made the comprehensive. Sensitivity analysis with different parameters on the optimal solution is carried to illustrate the effectiveness and behavior of the model.