Diffusion Process of New Products of Clothing. Part 2. On the Case of New Products Abandoned Successively.

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Other Title
  • 衣料新商品の普及・衰退過程の解析 (第2報)  購入された衣料が逐次廃棄される場合
  • イリョウ シン ショウヒン ノ フキュウ スイタイ カテイ ノ カイセキ ダイ
  • Part 2 : On the Case of New Poducts Abandoned Successively
  • (第2報) 購入された衣料が逐次廃棄される場合

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Abstract

(1) Diffusion process of the new clothing products was mathematically analysed, in the case that the new products are abandoned successively.<BR>In order to simplify analysis, five models were settled in connection with the manner in which the new products were abandoned.<BR> (2) Equations expressing N (t) /M, F (t) /M and G (t) /M were derived in the five models respectively. Here N (t) /M shows the value of diffusion rate at time t. F (t) /M and G (t) /M are the relative values of the number of people who have bought and abandoned the new products in unit time at timet.<BR>Shape of N (t) /M, F (t) /M and G (t) /M curves varies by the values of coefficient α, β, q and r. Here α and β are the coefficients related to the probability with which the people buy or abandone the product in unit time at time t. The symbol q shows the time when the abandonment of the products occurs, and r shows the possessing period of the product.<BR>By means of analysing these equations, we can understand the characteristics of the diffusion processes of the new products.<BR> (3) Model A and B are the cases in that the people who have abandoned the products are expected to buy again them. In these models the value of N (t) /M converges to a certain value after long period. Necessaries of life are the products of these models.<BR>Model C, D and E are the cases in that the people who have abandoned the products will never buy them again.In these models, N (t) /M forms a hill-shaped curve and its value reaches to zero after some period. Fashion clothings are the products of these models.

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