Exemples :

  • Modèle de Racine Fractionnelle, rythme décroissant applicable aux prix [ 2.15]
  • Modèle de Racine Fractionnelle, accroissement à rythme décroissant [ 2.15_2]

1.                               a=0

2.                               b=1

3.                               c=-0.5

4.                               d=0

5.                               x<-seq(1,10,1)

6.                               y<-a+b*(x)^c

7.                               profit<-0.3*y-x

8.                               df<-data.frame(Effort=x, Ventes=y, Profit=profit)

9.                               c=0.5

10.                             y<-a+b*(x)^c

11.                             profit<-0.3*y-x

12.                             df$Ventes2=y

13.                             df$Profit2=profit

14.                             df

15.                             # show Ventes

16.                             matplot(x, df[,seq(2,5,2)], pch = 1:2, type = "o", col = 1:2,xlab="Effort", ylab="Reponse")

17.                             legend(min(x), max(df[,seq(2,5,2)]),names(df)[seq(2,5,2)], lwd=3, col=1:2, pch=1:2)

  • Modèle de Racine Fractionnelle, rythme croissant [ 2.15_3]

1.                               a=0

2.                               b=1

3.                               c=1.5

4.                               d=0

5.                               x<-seq(1,10,1)

6.                               y<-a+b*(x)^c

7.                               matplot(x, y, pch = 1:2, type = "o", col = 1:2,xlab="Valeurs de x", ylab="Ventes et/ou Profits")

  • Modèle de Racine Fractionnelle, equivalent au modèle de saturation [2.15_4]

1.                               a=10

2.                               b=-10

3.                               c=-1

4.                               x<-seq(1,10,1)

5.                               y<-a+b*(x)^c

6.                               matplot(x, y, pch = 1:2, type = "o", col = 1:2,xlab="Valeurs de x", ylab="Ventes et/ou Profits")

Michel Calciu calciu@iae.univ-lille1.fr; - Cours IAE de Lille 2004 - -