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Research Article

COST INVENTORY MODEL CONSIDERING THE INTRODUCTION OF NEW PRODUCTS IN THE MARKET

N
Neha Soni Department of Mathematics, Govt. Motilal Vigyan Mahavidyalaya, Bhopal - 462008, Madhya Pradesh, INDIA
S
Sushma Duraphe Department of Mathematics, Govt. Motilal Vigyan Mahavidyalaya, Bhopal - 462008, Madhya Pradesh, INDIA
G
Geeta Modi Department of Mathematics, Govt. Motilal Vigyan Mahavidyalaya, Bhopal - 462008, Madhya Pradesh, INDIA
Volume 19, Issue 3 Pages 459-466 December 30, 2023 158 downloads
Article overview

Abstract

In this paper, an inventory models has been developed for introducing a new product in the market involving different costs. The demand is assumed as exponentially increasing and production is demand dependent. This proposed model a constant amount was invested for the advertisement to increase demand for new products. A mathematical model is developed by using differential equations. The objective of this model is to find the total cost and to minimize the total cost. The model is illustrated by numerical examples and sensitivity analysis of optimal solution with respect to parameters.

Keywords and Phrases

Inventory modeldeteriorationadvertisementTotal Cost (TC)Economic order quantity (EOQ).

AMS Subject Classification

90B05.

Reference information

How to Cite

Neha Soni, Sushma Duraphe, Geeta Modi (2023). COST INVENTORY MODEL CONSIDERING THE INTRODUCTION OF NEW PRODUCTS IN THE MARKET. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 459-466.
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