OPTIMIZATION OF RICE INVENTORY USING FUZZY INVENTORY MODEL AND LAGRANGE INTERPOLATION METHOD

  • Eka Susanti Science Doctoral Program, Mathematic and Natural Science, Universitas Sriwijaya, Indonesia
  • Fitri Maya Puspita Department of Mathematics, Universitas Sriwijaya, Indonesia
  • Evi Yuliza Department of Mathematics, Universitas Sriwijaya, Indonesia
  • Siti Suzlin Supadi Institute of Mathematics Sciences, University of Malaya, Malaysia
  • Oki Dwipurwani Department of Mathematics, Universitas Sriwijaya, Indonesia
  • Novi Rustiana Dewi Department of Mathematics, Universitas Sriwijaya, Indonesia
  • Ahmad Farhan Ramadhan Department of Mathematics, Universitas Sriwijaya, Indonesia
  • Ahmad Rindarto Department of Mathematics, Universitas Sriwijaya, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss3pp1215-1220
Keywords: Fuzzy EOQ, Lagrange Interpolation, Trapezoidal Fuzzy Number

Abstract

Interpolation is a method to determine the value that is between two values and is known from the data. In some cases, the data obtained is incomplete due to limitations in data collection. Interpolation techniques can be used to obtain approximate data. In this study, the Lagrange interpolation method of degree 2 and degree 3 is used to interpolate the data on rice demand. A trapezoidal fuzzy number expresses the demand data obtained from the interpolation.  The other parameters are obtained from company data related to rice supplies and are expressed as trapezoidal fuzzy numbers. The interpolation accuracy rate is calculated using Mean Error Percentage (MAPE). The second-degree interpolation method produces a MAPE value of 30.76 percent, while the third-degree interpolation has a MAPE of 32.92 percent. The quantity of order  respectively  202677 kg, 384610 kg, 1012357 kg, 1447963 kg, and a Total inventory cost of Rp. 129231797951.

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Published
2023-09-30
How to Cite
[1]
E. Susanti, “OPTIMIZATION OF RICE INVENTORY USING FUZZY INVENTORY MODEL AND LAGRANGE INTERPOLATION METHOD”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1215-1220, Sep. 2023.
Issue
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Eka Susanti, Fitri Maya Puspita, Evi Yuliza, Siti Suzlin Supadi, Oki Dwipurwani, Novi Rustiana Dewi, Ahmad Farhan Ramadhan, Ahmad Rindarto

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