On Thu, Jul 19, 2012 at 04:12:07AM -0700, arunkumar1111 wrote: > hi > > My inputs is min=(10,10,10,10,10) and max=(100,100,100,100,100) > total = 300 > i have to generate 5 numbers between min and max and those numbers should > sum upto total
Hi. If we subtract the minimum from each number, then we need to generate 5 numbers from [0, 90], which sum up to 250. The extremal points, which satisfy these conditions, are all permutations of the vector 90, 90, 70, 0, 0 There are 30 of these permutations. Then, it is sufficient to take a random convex combination of these points. Try the following. set.seed(11223344) # generate all permutations of the vector u <- c(90, 90, 70, 0, 0) extremes <- unique(t(replicate(200, u[sample(5)]))) # get a random convex combination x <- diff(c(0, sort(runif(nrow(extremes)-1)), 1)) out <- c(x %*% extremes + 10) out [1] 70.63310 60.11320 67.40902 53.73936 48.10532 sum(out) [1] 300 Hope this helps. Petr Savicky. ______________________________________________ [email protected] mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
