我有 6 个线性约束。我知道如何手动和通过r
. 我正在寻找一种简单的方法来获得可行区域的插图。
我试图ggplot2
这样做没有任何成功。
以下是约束:x1 >= 0, x2 >= 0, x2 <= 10
和x2 <= 12 - 2/5 * x1
, x2 <= 18 - x1
,x2 <= 18 - x1
require(ggplot2)
# x2 <= 12 - 2/5*x1
fun1 = function(x1){
x2 = 12 - 2/5*x1
return(x2)
}
# x2 <= 18 - x1
fun2 = function(x1){
x2 = 18 - x1
return(x2)
}
# x2 = 44 - 3*x1
fun3 = function(x1){
x2 = 44 - 3*x1
return(x2)
}
x1 = seq(0,20)
mydf = data.frame(x1, fun1(x1), fun2(x1),fun3(x1),rep(10,length(x1)))
names(mydf) = c('x1','y1','y2','y3','y4')
mydf$y5 = rep(0,length(x1))
p0 = ggplot(mydf, aes(x = x1)) +
coord_cartesian(ylim=c(0,10),xlim = c(0,20))+
geom_line(aes(y = y1), colour = 'blue') +
geom_line(aes(y = y2), colour = 'green') +
geom_line(aes(y = y3), colour = 'red') +
geom_line(aes(y = y4), colour = 'purple') +
geom_line(aes(y = y5), colour = 'black')
p0 + geom_area(aes(y = pmin(y1,y2,y3,y4,y5)), fill = 'gray60')
谢谢你的帮助!
编辑y5
:从pmin
函数中删除最后一个技巧:
p0 + geom_area(aes(y = pmin(y1,y2,y3,y4,y5)), fill = 'gray60')