Economic order quantity model for new product under fuzzy environment where demand follows innovation diffusion process with salvage value

2016 ◽  
Vol 9 (3) ◽  
pp. 290 ◽  
Author(s):  
Alok Kumar ◽  
Udayan Chanda
Author(s):  
K. Kalaiarasi ◽  
MARY HENRIETTA H ◽  
M. Sumathi ◽  
A. Stanley Raj

The technique of limiting expenditure plays a critical part in an organization's ability to govern the smooth operation of its management system. The economic order quantity (EOQ) is calculated by solving a nonlinear problem, and the best solution is investigated in a fuzzy and intuitionistic fuzzy environment. The overall cost is made up of several factors, such as demand, holding, and ordering costs. The demand and stock-out characteristics were both fuzzified using fuzzy and intuitionistic fuzzy numbers. The numerical analysis shows the comparison between the two fuzzy numbers through sensitivity analysis.


2014 ◽  
Vol 11 (05) ◽  
pp. 1450028 ◽  
Author(s):  
K. K. Aggarwal ◽  
Alok Kumar

In last few decades various models developed under inventory control section whether of probabilistic or deterministic nature did not consider the effect of marketing parameters. The marketing parameters especially associated with innovation diffusion theory make the inventory models more realistic. In this paper, an inventory model has been proposed based on the explicit assumptions of interaction of marketing parameters to the optimal inventory replenishment policy. A time-dependent innovation driven demand has been incorporated in the basic economic order quantity (EOQ) model to know the realistic features of the model. This model assumes that potential market size is dynamic over time and is dependent on the price of the product. The model is illustrated with a numerical example and to know the effectiveness of the model a sensitivity analysis of the optimal solution with respect to different parameters has been performed.


2021 ◽  
Vol 40 (2) ◽  
pp. 134-144
Author(s):  
Misha Billah ◽  
MM Rizvia ◽  
Lipon Chandra Das

As an inventory management instrument, Economic Order Quantity (EOQ) is gaining increased attention. EOQ has become the focus point of everyone’s interest, especially scientists. There are inventory problems in the production and repair system where the used products are collected to repair, and after repairing, it is considered as a new product. A two-stage EOQ model for manufacturing, repairing and disposing of products is discussed in our analysis. The present model follows a former model introduced by Nahimas and Rivera, where the repair system is finite. We propose a new mathematical model in reverse logistics system where demand in production and repair items follows an exponential rate. Mathematical expressions for determining the production and repair quantities are also initiated here. In this model, it is assumed that the available space for supply and repair depots is limited, and we impose two constraints that turn the problem into a constrained optimization model. We also conduct extensive numerical experiments, and advantages are addressed. GANIT J. Bangladesh Math. Soc. 40.2 (2020) 134-144


Inventions ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 36 ◽  
Author(s):  
Amalendu Singha Mahapatra ◽  
Biswajit Sarkar ◽  
Maheswar Singha Mahapatra ◽  
Hardik N Soni ◽  
Sanat Kumar Mazumder

This study investigates an economic order quantity model of deteriorating items, where demand is fuzzy in nature and depends on promotional effort with full backorder for a given time horizon. The learning effect in the fuzzy environment is added in this model. A constant deterioration rate is assumed. Under these circumstances, a mathematical model is developed to curtail the total cost over a finite time horizon by determining the replenishment order quantity, number of replenishments, and the fraction of the replenishment cycle when inventory is positive. A solution algorithm is developed to find the optimal solutions. The applicability of the proposed model is illustrated through numerical examples. To get further insights, sensitivity analysis is carried out for the main parameters in crisp, fuzzy, and fuzzy-learning environments.


2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Chairul Amni

Perencanaan persediaan bahan baku merupakan salah satu peranan yang sangat penting dalam dunia industri untuk meningkatkan permintaan pasar. Sebuah perencanaan produksi akan berjalan dengan baik jika di dukung dengan adanya persediaan bahan baku yang memadai. Persediaan bahan baku juga memberikan kontribusi biaya yang cukup besar sehingga komponen biaya ini juga perlu untuk dikendalikan. Melihat pentingnya fungsi perencanaan produksi dan pengendalian persediaan bahan baku, maka perlu adanya usaha untuk mengelolanya secara efisien untuk mendapatkan hasil yang optimal. Perencanaan bahan baku merupakan hal yang sangat penting dilakukan untuk mendukung proses produksi, sehingga tidak terjadi masalah seperti keterlambatan pengiriman barang kepada konsumen, dan pemborosan biaya bahan baku. Tujuan dari penelitian ini adalah untuk mengetahui sistem pengendalian bahan baku yang diterapkan serta untuk mengetahui jumlah ekonomis bahan baku pada setiap kali pemesanan yang di analisis dengan menggunakan metode EOQ (Economic Order Quantity). Dari penelitian ini mendapatkan hasil yang menunjukkan bahwa penggunaan metode EOQ dalam pemesanan bahan baku jauh lebih optimal dan efisien dibanding metode yang selama ini diterapkan, terlihat dari selisih total biaya pemesanan bahan baku pada tepung mencapai 1,21% (404.950 rupiah) selisih pada bahan baku gula 0,02% (4.450 rupiah) dan selisih biaya pada pemesanan ragi dan garam sebesar 14,31% yaitu sebesar Rp. 82.500 untuk Ragi dan Rp. 8.250 untuk selisih pemesanan garam. dengan demikian dapat disimpulkan bahwa penggunaan metode EOQ mempuanyai hasil baik dalam melakukan pemesanan bahan baku sehingga bahan baku untuk produksi tidak mengalami penumpukan dan tidak mengalami kekosongan dalam gudang.


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