Title: A partial back-ordering inventory model for Gompertz deteriorating items with quadratic demand and shortages in a fuzzy environment

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: 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.

Keywords: inventory system; Gompertz distribution; quadratic function; nonagonal fuzzy number; decagonal fuzzy number; graded mean integration representation method.

DOI: 10.1504/IJOR.2023.130054

International Journal of Operational Research, 2023 Vol.46 No.4, pp.481 - 504

Received: 09 Dec 2019
Accepted: 24 Jul 2020
Published online: 04 Apr 2023 *

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