Title: A fuzzy inventory model for Gompertz deteriorating items with cubic demand and shortages under the fully backlogged condition

Authors: K. Senbagam; M. Kokilamani

Addresses: Department of Mathematics, P.S.G. College of Arts and Science, Coimbatore-14, India ' Department of Mathematics, P.S.G. College of Arts and Science, Coimbatore-14, India

Abstract: This paper develops and resolves a fuzzy inventory model for the degradation of items with shortages in a completely back-ordered condition. The demand rate is assumed to be the cubic function of time. The rate of deterioration is considered to be the time distribution function of Gompertz. Fuzziness is carried out by allowing costs, costs of shortages, costs of deterioration, and parameters α, β to be maintained in the cost components. In a fuzzy world, all associated inventories are assumed to be hendecagonal fuzzy numbers. The objective of this paper is to optimise the overall profit from inventory optimisation by means of a graded mean integration representation and a signed distance method. The applicability of the proposed model is shown by a numerical example. The most important parameters of the device are often determined by a sensitivity analysis.

Keywords: inventory system; Gompertz distribution; cubic function; hendecagonal fuzzy number; graded mean integration representation method; signed distance method.

DOI: 10.1504/IJSOM.2023.130179

International Journal of Services and Operations Management, 2023 Vol.44 No.4, pp.540 - 560

Received: 19 May 2020
Accepted: 25 Jan 2021
Published online: 06 Apr 2023 *

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