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Optimization in Fuzzy Inventory Model for Linearly Deteriorating Items, with Power Demand, Partial Backlogging and Linear Holding Cost

by N. Rajeswari, T. Vanjikkodi, K. Sathyapriya
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 169 - Number 1
Year of Publication: 2017
Authors: N. Rajeswari, T. Vanjikkodi, K. Sathyapriya
10.5120/ijca2017914259

N. Rajeswari, T. Vanjikkodi, K. Sathyapriya . Optimization in Fuzzy Inventory Model for Linearly Deteriorating Items, with Power Demand, Partial Backlogging and Linear Holding Cost. International Journal of Computer Applications. 169, 1 ( Jul 2017), 6-12. DOI=10.5120/ijca2017914259

@article{ 10.5120/ijca2017914259,
author = { N. Rajeswari, T. Vanjikkodi, K. Sathyapriya },
title = { Optimization in Fuzzy Inventory Model for Linearly Deteriorating Items, with Power Demand, Partial Backlogging and Linear Holding Cost },
journal = { International Journal of Computer Applications },
issue_date = { Jul 2017 },
volume = { 169 },
number = { 1 },
month = { Jul },
year = { 2017 },
issn = { 0975-8887 },
pages = { 6-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume169/number1/27947-2017914259/ },
doi = { 10.5120/ijca2017914259 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:16:09.766586+05:30
%A N. Rajeswari
%A T. Vanjikkodi
%A K. Sathyapriya
%T Optimization in Fuzzy Inventory Model for Linearly Deteriorating Items, with Power Demand, Partial Backlogging and Linear Holding Cost
%J International Journal of Computer Applications
%@ 0975-8887
%V 169
%N 1
%P 6-12
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper a fuzzy inventory model is developed for deteriorating items with power demand rate. Shortages are allowed and partially backlogged. The holding cost is assumed to be time dependent. The cost components are considered as trapezoidal fuzzy numbers. The objective of this paper is to develop an inventory model in a fuzzy environment, minimize the total cost and thereby derive optimal policies. The total cost is defuzzified using Graded mean representation, and Signed distance methods. The values obtained by these methods are compared with the help of numerical examples. The convexity of the cost function is depicted graphically. The formulated model is tested for sensitivity by studying the effect of change in parameters.

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Index Terms

Computer Science
Information Sciences

Keywords

Defuzzification Deterioration Graded mean representation method Optimization Partial backlogging Power Demand Shortages Signed Distance Method and Trapezoidal Fuzzy Number.

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