scholarly journals The Fuzzy Economic Order Quantity Problem with a Finite Production Rate and Backorders

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Kaj-Mikael Björk

The track of developing Economic Order Quantity (EOQ) models with uncertainties described as fuzzy numbers has been very lucrative. In this paper, a fuzzy Economic Production Quantity (EPQ) model is developed to address a specific problem in a theoretical setting. Not only is the production time finite, but also backorders are allowed. The uncertainties, in the industrial context, come from the fact that the production availability is uncertain as well as the demand. These uncertainties will be handled with fuzzy numbers and the analytical solution to the optimization problem will be obtained. A theoretical example from the process industry is also given to illustrate the new model.

Author(s):  
David W. Pentico ◽  
Carl Toews ◽  
Matthew J. Drake

This paper describes two heuristics for the basic economic order quantity and economic production quantity with partial backordering that use the time between orders and the percentage of demand filled from stock as the decision variables. Tests of the heuristics on a set of problems generated by using different values for six situational characteristics indicate that both heuristics should perform well as long as the critical value of the backordering rate is positive and very well if it is at least 0.50.


2017 ◽  
Vol 17 (2) ◽  
pp. 89
Author(s):  
Yulin Tipaka ◽  
Marline Paendong ◽  
Charles Mongi

ANALISIS PENGENDALIAN PERSEDIAAN BAHAN BAKU BUNGA KRANS PADA USAHA BUNGA PLASTIK DENGAN MENGGUNAKAN METODE ECONOMIC ORDER QUANTITY DAN METODE ECONOMIC PRODUCTION QUANTITYABSTRAK Bunga Krans merupakan suatu karangan bunga berbentuk lonjong dan sebagainya untuk ucapan duka cita. Dalam usaha ini tidak sedikit permasalahan tentang meminimumkan biaya dengan mengendalikan prersediaan bahan baku. Tujuan penelitian ini yaitu untuk menentukan jumlah pemesanan ekonomis menggunakan metode Economic Order Quantity (EOQ) dan produksi optimal menggunakan metode Economic Produciton Quantity (EPQ) serta menentukan total persediaan minimum menurut EOQ dan EPQ. Dimana penelitian ini dilakukan pada bulan Februari 2017 hingga April 2017 di perusahaan Kembang Lineke, Girian, Bitung. Dengan variabel yang digunakan yaitu volume kebutuhan bahan baku, volume penyaluran bahan baku, biaya pemesanan bahan baku dan biaya penyimpanan bahan baku. Dari hasil dapat diketahui bahwa pemesanan  ekonomis menurut metode EOQ untuk masing-masing jenis bunga K5, K6 dan K10 yaitu 205,88 lusin, 220,09 lusin dan 266,96 lusin dengan biaya optimal semua jenis bunga sebesar Rp. 125.476.400 sedangkan produksi optimal menurut metode EPQ untuk jenis bunga K5, K6 dan K10 masing-masing sebesar 206,16 lusin, 220,4 lusin dan 267,32 lusin dengan biaya optimal untuk semua jenis bunga sebesar Rp. 125.336.630. Kata Kunci:  Bunga Krans,   Economic Order Quantity (EOQ),  Economic Production Quantity (EPQ) RAW MATERIAL INVENTORY CONTROL ANALYSIS OF FUNERAL WREATH ON PLASTIC FLOWER BUSINESS USING ECONOMIC ORDER QUANTITY METHOD AND ECONOMIC PRODUCTION QUANTITY METHODABSTRACT           Funeral wreath is an oval-shaped bouquet or so on used for show greeting or grieving. In this business there are not only a few problems about minimizing costs by controlling raw material inventory. The purpose of this research is to determine the amount of economic order using Economic Order Quantity (EOQ) method and optimum production using Economic Production Quantity (EPQ) method, also to determine the total minimum inventory according to those methods. Where this research was conducted in February 2017 until April 2017 at company Flower Lineke, Girian, Bitung. With variables used are the volume of raw material demand, the volume of raw material distribution, ordering cost and holding cost. From the results it can be seen that economical order according to EOQ method for each type of interest K5, K6 and K10 is 205,88 dozen, 220,09 dozen and 266,96 dozen with optimal cost of all type of interest equal to rp.125,476,400 while the optimum production according to EPQ method for k5, k6, k10, respectively for 206,16 dozen 220,4 dozen and 267,32 dozen with optimal cost for all kinds of interest Rp. 125.336.630. Keywords:  Funeral Wreath,   Economic Order Quantity (EOQ),   Economic Production Quantity (EPQ)


2006 ◽  
Vol 2006 ◽  
pp. 1-5 ◽  
Author(s):  
Yung-Fu Huang

Chiu studied the effect of service-level constraint on the economic production quantity (EPQ) model with random defective rate. In this note, we will offer a simple algebraic approach to replace his differential calculus skill to find the optimal solution under the expected annual cost minimization.


2008 ◽  
Vol 25 (03) ◽  
pp. 301-315 ◽  
Author(s):  
S. PANDA ◽  
S. SAHA ◽  
M. BASU

A single item, single cycle economic production quantity model for perishable products is proposed where the demand is two-component and stock dependent. The production inventory scenario of products like cake, bread, fast foods, fishes, garments, cosmetics etc in the festival season is considered. The profit function is formulated under the assumption that the time period of the festival seasons is fixed and the display capacity of the produced item is limited. In the formulation process, to introduce more flexibility, a goal programming technique is incorporated to achieve the producer's desired profit and stock of as much inventory as possible below the display capacity level. A numerical example is presented to illustrate the proposed model. A sensitivity analysis of the model is also carried out.


2016 ◽  
Vol 15 (1) ◽  
pp. 78 ◽  
Author(s):  
Nurike Oktavia ◽  
Henmaidi Henmaidi ◽  
Jonrinaldi Jonrinaldi

The most popular inventory model to determine production lot size is Economic Production Quantity (EPQ). It shows enterprise how to minimize total production cost by reducing inventory cost. But, three main parameters in EPQ which are demand, machine set up cost, and holding cost, are not suitable to solve issues nowadays. When an enterprise has two types of demand, continue and discrete demand, the basic EPQ would be no longer useful. Demand continues comes from a customer who wants their needs to be fulfilled every time per unit time, while the fulfillment of demand discrete is at a fixed interval of time. A literature review is done by writers to observe other formulation of EPQ model. As there is no other research can be found which adopt this topic, this study tries to develop EPQ model considering two types of demand simultaneously.


2018 ◽  
Vol 56 (18) ◽  
pp. 6279-6293 ◽  
Author(s):  
Luiza Ribeiro Alves Cunha ◽  
Ana Paula Santos Delfino ◽  
Kamila Almeida dos Reis ◽  
Adriana Leiras

2014 ◽  
Vol 556-562 ◽  
pp. 6616-6619
Author(s):  
Jun Chen ◽  
Lai Fu Ye

Based on Economic Production Quantity (EPQ) model with certain defective rate, this paper analyses technology patent storage problems in university-enterprise cooperation under the perspective of consumer electronics enterprise, finds out the optimal number and cycle of patent research considering the factor of research and development failure rate.


2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Nita H. Shah ◽  
Dushyantkumar G. Patel ◽  
Digeshkumar B. Shah

Economic production quantity (EPQ) inventory model for trended demand has been analyzed with rework facility and stochastic preventive machine time. Due to the complexity of the model, search method is proposed to determine the best optimal solution. A numerical example and sensitivity analysis are carried out to validate the proposed model. From the sensitivity analysis, it is observed that the rate of change of demand has significant impact on the optimal inventory cost. The model is very sensitive to the production and demand rate.


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