Setiawati, Reni (2014) Mengukur Tingkat Keakuratan Penggunaan Pendekatan Sebaran Normal Pada Model Economic Order Quantity (Eoq) Probabilisti :Model (Q, R). Sarjana thesis, Universitas Brawijaya.
Abstract
Model Economic Order Quantity (EOQ) dengan permintaan probabilistik atau model (q, r) digunakan untuk menentukan kapan memesan pada reorder point tertentu (r) dan berapa quantity ordered (q) yang akan dipesan untuk meminimumkan total biaya (total cost). Penggunaan pendekatan normal sering digunakan pada kasus persediaan, padahal perilaku permintaan bersifat diskrit (cacah) dan peluang terjadi permintaan kecil, sehingga dapat dikatakan bahwa perilaku permintaan mengikuti sebaran Poisson. Penelitian ini bertujuan untuk mengetahui seberapa akurat penggunaan sebaran normal pada kasus persediaan, yaitu dengan membangkitkan data menyebar Poisson berdasarkan jumlah permintaan yang bersifat diskrit. Kemudian sistem sediaan dianalisis menggunakan dua pendekatan, yaitu pendekatan sebaran normal dan sebaran poisson. Berdasarkan hasil analisis model EOQ probabilistik menunjukkan bahwa pendekatan sebaran Poisson memberikan total biaya persediaan lebih kecil daripada pendekatan sebaran normal. Hal ini membuktikan bahwa penggunaan pendekatan sebaran normal kurang tepat bila digunakan pada kasus persediaan untuk meminimumkan biaya persediaan khususnya pada model Economic Order Quantity (EOQ) probabilistik.
English Abstract
A model of Economic Order Quantity (EOQ) with the demand probabilistic or model (q, r) used to determine when order to reorder point certain (r) and how quantity an ordered (q) that will be ordered to minimize the total cost. The use of normal distribution is often used in the case of inventory, whereas demand is discrete behavior (divide tubers) and opportunities occurring small requests, so it can be said that the request follows the Poisson distribution behavior. This research aims to find out how accurate use of the normal distribution in the case of supplies, namely by generating data based on Poisson number of requests spread that is discrete. Then the system is analyzed using two approaches preparations, namely distribution of normal and poisson distribution. Based on the probabilistic model of EOQ analysis results showed that the distribution of Poisson approximation gives the total cost of the inventory is less than the normal distribution approach. This proves that the use of the normal distribution approach is less precise when it is used in the case of supplies for minimising the cost of supplies especially on the model of Economic Order Quantity (EOQ) probabilistic.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2014/110/051401389 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Budi Wahyono Wahyono |
| Date Deposited: | 24 Feb 2014 15:21 |
| Last Modified: | 25 Oct 2021 02:47 |
| URI: | http://repository.ub.ac.id/id/eprint/153727 |
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