توضیحات
ABSTRACT
In the present paper, an inventory model without shortages has been considered in a fuzzy
environment. Our goal is to determine the optimal total cost and the optimal order quantity for the proposed
inventory model. The Trapezoidal fuzzy numbers have been introduced in order to achieve this goal. The
computation of economic order quantity (EOQ) is carried out through defuzzification process by using signed
distance method. The signed distance method is more applicable than the other methods of defuzzification. To
illustrate the results of the proposed model, we have given two model examples and presented the computational
results. Sensitivity for this model is also studied, which shows a linear relation between demand, EOQ, and total
cost. The advantage of the proposed approach is that it is simple, gives a better result in relatively less
computational work
INTRODUCTION
Basically, an inventory consists of raw materials, work-in-progress, or finished goods. Effective
inventory control is essential for manufacturing organizations for many reasons. One of them is the amount of
money tied in inventory.
Thus, inventory control is very important field for both real world applications and research purpose. In
conventional inventory models, the uncertainties are treated as randomness and are handled by using probability
theory. The most widely used inventory model is the Economic Order Quantity (EOQ) Model, in which the
successive operations are classified as supply and demand. The first quantitative treatment of inventory was the
simple EOQ model. This model was developed by Harris[1]. Wilson[2] aroused interest in the EOQ model in
academics and industries. Later, Hadley et al[3] analyzed many inventory systems.
In certain situations, uncertainties are due to fuzziness, primarily introduced by Zadeh[4], is applicable.
In 1970, Zadeh et al[5] proposed some strategies for decision making in fuzzy environment. Jain[6] worked on
decision making in the presence of fuzzy variables. Kacpryzk et al[7] discussed some long-term inventory
policy-making through fuzzy-decision making models.
Wide applications of fuzzy set theory can be found in Zimmerman[8], and Park[10]. In basic EOQ
model we identify the order size that minimizes the sum of annual costs of inventory holding and fixed setup to
place orders. In this model, there are some assumptions:
The demand is known, fixed and independent
Quantity discounts are not allowed
Inventory replenishment is instantaneous
Only variable costs are setup cost and inventory holding cost
No safety stock.
Year :2012
Publisher : IOSR
By : D. Dutta, Pavan Kumar
File Informatin : Language English / 6 Page / Size :346 K
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سال : 2012
ناشر : IOSR
کاری از : D. Dutta, Pavan Kumar
اطلاعات فایل : زبان انگلیسی / 6 صفحه / حجم : 346K
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