A partial back-ordering inventory model for Gompertz deteriorating items with quadratic demand and shortages in a fuzzy environment Online publication date: Tue, 04-Apr-2023
by K. Senbagam; M. Kokilamani
International Journal of Operational Research (IJOR), Vol. 46, No. 4, 2023
Abstract: In this paper, we considered the EOQ inventory model for Gompertz decaying products with quadratic demand and constant holding cost in fuzzy environments using nonagonal, decagonal fuzzy numbers. Shortages are authorised and partially backlogged. The objective is to determine the fuzzy optimal total cost and fuzzy optimal order quantity for the proposed inventory model. A graded mean representation method of defuzzification is used for this fuzzy model to evaluate the estimate of the profit function in a fuzzy sense. Inventory parameters such as deterioration cost, holding cost, and shortage cost are assumed to be nonagonal and decagonal fuzzy numbers. The numerical illustration is used to study the behaviour of the model with respect to the different parameters of the inventory. Sensitivity analyses of the variance of different parameters have also been discussed. Numerical tests are carried out utilising the Scilab software.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Operational Research (IJOR):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook