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

Author

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  • K. Senbagam
  • M. Kokilamani

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.

Suggested Citation

  • K. Senbagam & M. Kokilamani, 2023. "A fuzzy inventory model for Gompertz deteriorating items with cubic demand and shortages under the fully backlogged condition," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 44(4), pages 540-560.
    • Handle: RePEc:ids:ijsoma:v:44:y:2023:i:4:p:540-560
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