Generalisasi Model Economic Order Quantity Orde Fraksional Dengan Tingkat Permintaan Kubik Dan Nilai Sisa

Santi, Lia Aria and Dr. Sobri Abusini,, M.T. and Mila Kurniawaty,, S.Si., M.Si., Ph.D. (2022) Generalisasi Model Economic Order Quantity Orde Fraksional Dengan Tingkat Permintaan Kubik Dan Nilai Sisa. Magister thesis, Universitas Brawijaya.

Abstract

Pada tesis ini dibahas generalisasi apabila ditambahkan efek memori ke dalam model persediaan Economic Order Quantity dengan tingkat permintaan kubik dan adanya nilai sisa. Model persediaan dianggap sebagai persamaan yang dipengaruhi oleh memori. Dalam model Economic Order Quantity tersebut pengaruh efek memori berperan menentukan interval pemesanan optimal dan total biaya rata-rata minimum. Model Economic Order Quantity klasik diubah menjadi model Economic Order Quantity orde fraksional dengan menggunakan definisi turunan Caputo. Dalam menentukan solusi analitik model persediaan digunakan metode transformasi Laplace fraksional.

English Abstract

In this thesis, generalizations were discussed when the memory effect was added to the Economic Order Quantity supply model with cubic demand rate and salvage value. Inventory system are considered to be systems that are affected by memory. In the Economic Order Quantity model, the influence of memory effects plays a role in determining the optimal ordering interval and the minimum average total cost. The classic Economic Order Quantity model was converted into a fractional order Economic Order Quantity model using the Caputo derivative definition. In determining the analytics solution of the inventory model used fractional Laplace transformation method.

Item Type: Thesis (Magister)
Identification Number: 042209
Uncontrolled Keywords: Turunan orde fraksional, metode transformasi Laplace fraksional, nilai sisa, pemrograman geometrik primal,fractional order derivative, fractional Laplace transform method, salvage value, primal geometric programming.
Subjects: 500 Natural sciences and mathematics > 510 Mathematics
Divisions: S2/S3 > Magister Matematika, Fakultas MIPA
Depositing User: PKN 03 UB
Date Deposited: 08 Jun 2023 03:22
Last Modified: 08 Jun 2023 03:22
URI: http://repository.ub.ac.id/id/eprint/201179
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