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Brownian Motion in EOQ

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K. Suganthi and G. Jayalalitha*

Department of Mathematics, VELS Institute of Science Technology & Advanced Studies (VISTAS) - Chennai, Tamil Nadu, India

Abstract

EOQ is a fixed factor proposed to assist organizations to reduce the expense of ordering and holding Inventory. It is an estimation exploit inside the zone of Operations, Logistics, and Supply Management. The main goal of the EOQ is the ideal proportion of a thing to be purchased at one time in order to decrease the consolidated yearly costs of the ordering cycle. Shortages are not permitted and Inventory control plays a vital role in reducing the cost of production rates, additional time, subcontracting, inordinate Inventory costs and delay purchase penalties during peak time.

The exact result is achieved by using sensitive analysis, proposed model and numerical examples which are developed in it. In this paper, three techniques are used to resolve the EOQ in Inventory model: (i) Assumptions of the EOQ; (ii) Inventory Control in Instantaneous demand Model under development of the Item; (iii) Classic EOQ in Inventory. These three strategies give Brownian motion as per Trapezoidal Rule which give Brownian Path. This path can be found by external estimate, and it is varied, on the basis of Hausdorff Measure and Levy’s processes. Subsequently it is known as Fractals.

Keywords: EOQ, inventory, brownian motion, levy’s processes, fractals

Mathematics in Computational Science and Engineering

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