[R] optimization question

[Adams, Jean]

Andras,

Is there an error in your post or am I missing something?

df[, 9] is made up of the last (9th) element of each of a, b, c, and d.
The minimum value for sum(df[, 9]) is 0.
Given your conditions, there are many, many ways to get this result.
Here is just one example:
a <-c(1,1,1,1,1,0,0,0,0)
b <-c(1,0,1,1,1,1,0,0,0)
c <-c(1,0,1,1,0,0,0,0,0)
d <-c(1,1,1,1,0,1,0,0,0)
df <-rbind(a,b,c,d)
df <-cbind(df,h=c(sum(a)*8,sum(b)*8,sum(c)*8,sum(d)*8))
df <-cbind(df,df[,8]*c(1,2,3,2))

Jean



On Wed, Oct 1, 2014 at 7:30 PM, Andras Farkas <motyocska at yahoo.com> wrote:

> Dear All,
>
> please provide help with the following:
>
> we have
>
> a <-c(0,1,1,0,1,0,0,0,0)
> b <-c(0,0,0,1,0,0,0,0,0)
> c <-c(1,0,1,0,1,1,0,0,0)
> d <-c(0,1,0,1,0,1,0,0,0)
> df <-rbind(a,b,c,d)
> df <-cbind(df,h=c(sum(a)*8,sum(b)*8,sum(c)*8,sum(d)*8))
> df <-cbind(df,df[,8]*c(1,2,3,2))
>
> I would like to minimize the value for sum(df[,9]) under the following
> conditions:
>
> 1. all values of a,b,c, and d are binary variables and are the variables
> to change to get the optimal result
> 2. sum(a), sum(b), and sum(d) should be each 5 or more
> 3. sum(c) should be 3 or less
> 4. a[2], a[3], b[2], d[7] and d[8] are fixed to their current values.
>
> any thoughts or reference examples you could help with is greatly
> appreciated
>
> thanks
>
> andras
>
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