scholarly journals Inventory Model for Three–parameter Weibull Deterioration and Partial Backlogging

2019 ◽  
pp. 1-9
Author(s):  
Naresh Kumar Kaliraman
Keyword(s):  
Inventory Model ◽  
Time Dependent ◽  
Order Quantity ◽  
Inventory Cost ◽  
Numerical Illustration ◽  
Decision Variables ◽  
Demand Rate ◽  
Optimum Order ◽  
Total Inventory ◽  
Total Average Cost

This paper develops an economic order quantity inventory model for time dependent three parameters Weibull deterioration. Partially backlogged shortages are considered. The demand rate is deterministic and time dependent. The rate of deterioration is time dependent. We have derived the most favorable order quantity model by minimizing the entire inventory cost. A numerical illustration has been carried out to evaluate the result of parameters on decision variables and the total average cost of the model. The research focus of this paper is to derive the optimum order quantity by minimizing the total inventory cost.

scholarly journals Inventory Model with Partial Backordering When Backordered Customers Delay Purchase after Stockout-Restoration

2016 ◽  
Vol 2016 ◽  
pp. 1-16
Author(s):  
Ren-Qian Zhang ◽  
Yan-Liang Wu ◽  
Wei-Guo Fang ◽  
Wen-Hui Zhou
Keyword(s):  
Layer Structure ◽  
Inventory Model ◽  
Inventory Cost ◽  
Cost Component ◽  
Lipschitz Optimization ◽  
Partial Backordering ◽  
Demand Rate ◽  
Holding Cost ◽  
Total Inventory ◽  
Inventory Holding

Many inventory models with partial backordering assume that the backordered demand must be filled instantly after stockout restoration. In practice, however, the backordered customers may successively revisit the store because of the purchase delay behavior, producing a limited backorder demand rate and resulting in an extra inventory holding cost. Hence, in this paper we formulate the inventory model with partial backordering considering the purchase delay of the backordered customers and assuming that the backorder demand rate is proportional to the remaining backordered demand. Particularly, we model the problem by introducing a new inventory cost component of holding the backordered items, which has not been considered in the existing models. We propose an algorithm with a two-layer structure based on Lipschitz Optimization (LO) to minimize the total inventory cost. Numerical experiments show that the proposed algorithm outperforms two benchmarks in both optimality and efficiency. We also observe that the earlier the backordered customer revisits the store, the smaller the inventory cost and the fill rate are, but the longer the order cycle is. In addition, if the backordered customers revisit the store without too much delay, the basic EOQ with partial backordering approximates our model very well.

scholarly journals Two warehouse inventory model for deteriorating item with exponential demand rate and permissible delay in payment

2017 ◽  
Vol 27 (1) ◽  
pp. 109-124 ◽  
Author(s):  
Naresh Kaliraman ◽  
Ritu Raj ◽  
Shalini Chandra ◽  
Harish Chaudhary
Keyword(s):  
Sensitivity Analysis ◽  
Inventory Model ◽  
Deteriorating Items ◽  
The Other ◽  
Inventory Cost ◽  
Numerical Illustration ◽  
Deterioration Rate ◽  
Permissible Delay In Payment ◽  
Demand Rate

A two warehouse inventory model for deteriorating items is considered with exponential demand rate and permissible delay in payment. Shortage is not allowed and deterioration rate is constant. In the model, one warehouse is rented and the other is owned. The rented warehouse is provided with better facility for the stock than the owned warehouse, but is charged more. The objective of this model is to find the best replenishment policies for minimizing the total appropriate inventory cost. A numerical illustration and sensitivity analysis is provided.

scholarly journals Controllable deterioration rate for time-dependent demand and time-varying holding cost

2014 ◽  
Vol 24 (1) ◽  
pp. 87-98 ◽  
Author(s):  
Vinod Mishra
Keyword(s):  
Linear Function ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Inventory Cost ◽  
Deterioration Rate ◽  
Preservation Technology ◽  
Demand Rate ◽  
Holding Cost ◽  
Total Inventory ◽  
Dependent Demand

In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models. So in this paper, we developed a deterministic inventory model for non-instantaneous deteriorating items in which both demand rate and holding cost are a linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved analytically by minimizing the total cost of the inventory system. The model can be applied to optimizing the total inventory cost of non-instantaneous deteriorating items inventory for the business enterprises, where the preservation technology is used to control the deterioration rate, and demand & holding cost both are a linear function of time.

scholarly journals A Study of an EOQ Model of Growing Items with Parabolic Dense Fuzzy Lock Demand Rate

2021 ◽  
Vol 4 (4) ◽  
pp. 81
Author(s):  
Suman Maity ◽  
Sujit Kumar De ◽  
Madhumangal Pal ◽  
Sankar Prasad Mondal
Keyword(s):  
Fuzzy Set ◽  
Order Quantity ◽  
Inventory Cost ◽  
Eoq Model ◽  
Fuzzy Environment ◽  
Demand Rate ◽  
Total Inventory ◽  
Growing Items ◽  
Graphical Illustration ◽  
The Ideal

In this article, the parabolic dense fuzzy set is defined, and its basic arithmetic operations are studied with graphical illustration. The lock set concept is incorporated in a parabolic dense fuzzy set. Then, it is applied to the problems of fishery culture via the modeling of an economic order quantity model. Here, the fingerlings are fed to reach the ideal size to fulfill the customer’s demand. The growth rate of the fingerlings is assumed as a linear function. After the sales of all fish, the pond is cleaned properly for a new cycle. Here, the model is solved in a crisp sense first. Then, we fuzzify the model considering the demand rate as a parabolic dense lock fuzzy number and obtain the result in a fuzzy environment. The main aim of our study was to find the quantity of the ordering items such that the total inventory cost gets a minimum value. Lastly, sensitivity analysis and graphical illustrations were added for better justification of our model.

scholarly journals Analysis of Inventory Model with Time Dependent Quadratic Demand Function Including Time Variable Deterioration Rate without Shortage

2021 ◽  
pp. 97-109
Author(s):  
Md. Atiqur Rahman ◽  
Mohammed Forhad Uddin
Keyword(s):  
Demand Function ◽  
Optimal Solution ◽  
Quadratic Function ◽  
Inventory Model ◽  
Time Dependent ◽  
Inventory Cost ◽  
Total Cost ◽  
Deterioration Rate ◽  
Total Inventory ◽  
Dependent Demand

This paper deals with an inventory model for deteriorating items along with time dependent demand which is quadratic function of time. In this model, the deterioration rate follows deterministic deterioration which is quadratic function of time. Here shortages are not allowed. The main purpose of this paper is to investigate minimum total cost per unit time of the inventory model. The result are validated with the help of numerical example. The sensitivity analysis of the optimal solution with respect to various parameters is carried out. Finally the behavior of the relation between parameters and total inventory cost have been shown using figure.

scholarly journals Analisis Pengendalian Persediaan Bahan Baku dengan Menggunakan Metode EOQ pada PT Sigma Indonesia MFG

JUDICIOUS ◽  
2020 ◽  
Vol 1 (2) ◽  
pp. 102-106
Author(s):  
Elsa Fitriyani ◽  
Matdio Siahaan
Keyword(s):  
Standard Deviation ◽  
Order Quantity ◽  
Microsoft Excel ◽  
Inventory Cost ◽  
Safety Stock ◽  
Total Inventory

Tujuan yang ingin dicapai dalam penelitian ini adalah untuk mengetahui apakah pengendalian persediaan bahan baku pada PT Sigma Indonesia Manufacturing sudah efisien atau belum. Bahan baku utama yang di gunakan PT Sigma Indonesia Manufacturing adalah material STKM diameter 8.0. PT Sigma Indonesia Manufacturing mengolah material STKM diameter 8.0 menjadi barang jadi yaitu Collar 8.0. Masalah yang di hadapi oleh perusahaan dalam kaitannya dengan persediaan bahan baku diantaranya adalah pembelian bahan baku yang optimal, persediaan pengaman, serta total biaya persedian bahan baku. Untuk menjawab permasalahan yang ada, penulis menggunakan metode EOQ (Economical Order Quantity). Analisis ini terdiri dari pembelian bahan baku yang optimal, Safety stock, dan Total Inventory Cost. Perhitungan pembelian bahan baku yang optimal dengan menggunakan metode EOQ (Economical Order Quantity), perhitungan Safety stock dicari hitung dengan menggunakan standard deviation sedangkan Total Inventory Cost dihitung dengan menggunakan Microsoft Excel. Data yang digunakan adalah data pembelian dan pemakaian bahan baku Collar 8.0 selama periode Januari 2016 sampai Desember 2018. Hasil yang didapatkan setelah dilakukan perhitungan EOQ jumlah bahan baku yang ekonomis untuk setiap kali pembelian pada tahun 2016 sejumlah 278 batang , tahun 2017 sejumlah 284 batang , tahun 2018 sejumlah 285 batang. Total Inventory Cost menurut perhitungan EOQ pada tahun 2016 adalah sebesar Rp165.591, tahun 2017 sebesar Rp168.754, tahun 2018 sebesar Rp169.325.Total Inventory Cost yang di keluarkan perusahaan pada tahun 2016 sebesar Rp215.268, tahun 2017 sebesar Rp219.380, tahun 2018 sebesar Rp220.122.

scholarly journals An Optimal Order Quantity Of Spare Parts To Minimize Total Inventory Cost Using Periodic Review Approach (R,s,s) Method In PT. XYZ Bandung

2017 ◽  
Vol 1 (02) ◽  
Author(s):  
Feviana Betsi Purba ◽  
Luciana Andrawina ◽  
Murni Dwi Astuti
Keyword(s):  
Spare Part ◽  
Spare Parts ◽  
Optimal Order ◽  
Periodic Review ◽  
Order Quantity ◽  
Inventory Cost ◽  
Inventory Policy ◽  
Total Saving ◽  
Manufacturing Company ◽  
Total Inventory

The availability of spare parts is very crucial thing for manufacturing company in order to support the continuity of production activities. PT XYZ is a manufacturing company which produces thread into fabric. In this case, inventory control of spare part is not properly managed. Inventory position of spare parts in warehouse is always more than inventory policy of the company itself or called overstock which causes total inventory cost is always high. Company only consider on the order fulfillment of spare parts to prevent downtime on the machine that increase performance of production. Hence, order quantity of spare parts is always excessive or not optimal. In this research, global inventory policy conducted in order to minimize total inventory cost is periodic review approach (R, s, S) method. This inventory policy will be calculated using power approximation and obtained total saving cost of holding cost by 31 % while total saving cost of order cost decreased by 7 %. Overall, total inventory cost minimized by 7 % or equal to Rp138.902.742.

scholarly journals Analisis Pengendalian Persediaan Bahan Baku dengan Menerapkan Metode EOQ (Economic Order Quantity) pada PT. Jatisari Furniture Work

2021 ◽  
Vol 5 (1) ◽  
pp. 215
Author(s):  
Arga Sutrisna ◽  
Rizki Ginanjar ◽  
Suci Putri Lestari
Keyword(s):  
Production Costs ◽  
Raw Material ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Analysis Tool ◽  
Order Quantity ◽  
Inventory Cost ◽  
Total Cost ◽  
Inventory Costs ◽  
Total Inventory

This research objectives aims to determine and analyze raw material inventory control, the ideal raw material inventory that the company must provide and the efficiency of production costs carried out by Jatisri Furniture Work in Tasikmalaya for the period 2018.11 – 2020.02. The data collection method in this study is by direct observation at Jatisari Furniture Work in Tasikmalaya. Using techniques such us interviews, observation, and documentation. These observations were made in production reports for the years 2018 – 2020. The analysis tool was carried out using the Economic Order Quantity (EOQ) method such us safety stock, reorder point, and total inventory cost. The result of the Economic Order Quantity (EOQ) analysis show that the total cost of raw the material inventory that must be incurred by the company is greater than the total cost of inventories calculated according to the EOQ method. Companies should follow the calculations from the EOQ method so that they can save on raw material inventory costs, so that production costs are more efficient.

scholarly journals PENGENDALIAN PERSEDIAAN BAHAN BAKU DALAM PROSES PRODUKSI DENGAN MENGGUNAKAN METODE ECONOMIC ORDER QUANTITY (EOQ)

2019 ◽  
Vol 1 (2) ◽  
pp. 415-423
Author(s):  
Elia Rahayu R ◽  
Nor Norisanti ◽  
Acep Samsudin
Keyword(s):  
Raw Materials ◽  
Raw Material ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Order Quantity ◽  
Analysis Method ◽  
Inventory Cost ◽  
Total Inventory ◽  
The Difference ◽  
Quantitative Descriptive

The purpose of this study is to control the supply of raw materials using the Economic Order Quantity (EOQ) method in Tahu Nugraha Jaya Sukabumi UKM. The data analysis method used is quantitative descriptive to describe and describe the data to be examined and then processed using EOQ. This study uses the EOQ method to determine the total inventory cost. The data needed in this study are the number of purchases of raw materials, the amount of use of raw materials, storage costs, and ordering costs. The results of this study indicate that by applying the EOQ method can further optimize the supply of raw materials by minimizing raw materials with increased inventory. With the application of the Economic Order Quantity (EOQ) method it shows more efficient than conventional methods of the company. Conclusions, seen from the difference in the TIC of the two methods, the more efficient method is the Economic Order Quantity (EOQ) method that is equal to 244,392.94 while the calculation used by the company is 374,325. so that it can be obtained that there is a difference between the Company TIC and the EIC method TIC. Keywords: Raw Material Inventory, Production Process

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