Abstract

Generally, it is considered that the products have five phases in their life cycle, namely, introduction, growth, maturity, saturation and decline. But with the rapid advancement of technology and globalization, the product life has dwindled. This paper studies the life cycle of the products whose life cycle has been reduced to only three phases. The life cycle of the various products especially electronic goods (mobile phones) has been studied and it has been observed that life span of these products has been reduced drastically. Another observation is that the introduction and the growth phase have been clubbed into one. Many of the products either will have the growth in the initial part of their life cycle or will be unable to survive, so there is no possibility of the other phases of life cycle. This study formulates a model for the products having only three phases of the life cycle and having a very short life span. While the earlier models have considered five phases of product life cycle with longer duration. The mathematical model considered here has only three phases of life cycle which matches with the life cycles of the electronics products, whose demand increases rapidly during the growth period and declines exponentially during the decline phase.

Highlights

  • Product life cycle is defined as the progression of product at various stages of life

  • The mathematical model considered here has only three phases of life cycle which matches with the life cycles of the electronics products, whose demand increases rapidly during the growth period and declines exponentially during the decline phase

  • Asiedu and Gu [5] have done the review of the product life cycle cost analysis

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Summary

Introduction

Product life cycle is defined as the progression of product at various stages of life. With innovation in products and industrial dynamics, duration of the product life cycle is decreasing and even the number of phases has been reduced to three. One of the reasons for shrinking of life cycle is introduction of more innovative products in the market at a rapid phase and changing business environment. Filson [7] has studied how the product and process innovations impact the life cycle of an industry. Werker [8] studied product life cycle considering innovation, market performance, and competition. The product life cycle is still a relevant concept, it does not have all the five phases and should be studied considering only three phases. This paper proposes a mathematical model for the products which will have these three phases in their life cycle. The numerical illustrations have been provided to prove the usage of the model

Assumptions
Mathematical Model and Analysis
Numerical Illustrations and Analysis
Findings
Concluding Remarks
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