Optimal Policy for an Inventory Model using Pentagonal Fuzzy Number

S. Hemalatha; K. Annadurai

doi:https://doi.org/10.14445/22315373/IJMTT-V69I3P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 3 | Year 2023 | Article Id. IJMTT-V69I3P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I3P502

Optimal Policy for an Inventory Model using Pentagonal Fuzzy Number

S. Hemalatha, K. Annadurai

Received	Revised	Accepted	Published
01 Feb 2023	02 Mar 2023	15 Mar 2023	27 Mar 2023

Abstract

This article explores an inventory system in fuzzy scenario with two models. In this research, ordering cost and holding cost are considered as pentagonal fuzzy numbers. Initially, the parameters are considered as crisp parameters. Secondly, the parameters are uncertain and are caned as fuzzy parameters. The total inventory cost is defuzzied using the graded mean integration formula, and the optimal order quantity is estimated using the Kuhn–tucker method. To find the optimal order quantity and minimum total inventory cost, an algorithm is designed. Numerical examples are used to compared a fuzzy inventory model with the traditional crisp inventory model. Finally, a graphical depiction of the proposed model is shown. The result demonstrates that the advantages of the application of fuzzy model in real-life environment.

Keywords

Defuzzification, Fuzzy inventory model, Graded mean integration, Kuhn-Tucker condition, Pentagonal fuzzy numbers.

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Citation :

S. Hemalatha, K. Annadurai, "Optimal Policy for an Inventory Model using Pentagonal Fuzzy Number," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 3, pp. 7-15, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I3P502