Hi list, I want to find the total maximum resources I can spend given a set allocation proportion and some simple budget constraints.
However, I get suboptimal results via lp and friends (i.e. lpSolve and simplex in the linprog and boot) . For example: library(lpSolve) proportions = c( 0.46, 0.28, 0.26) constraints = c( 352, 75, 171) lp(objective.in = proportions, const.mat = diag(c(1,1,1)), const.rhs=constraints, const.dir=rep('<=',3), direction='max' ) ## > Success: the objective function is 227.38 227.38 * proportions #[1] 104.5948 63.6664 59.1188 (OK all less than constraints, however...) 267 * proportions ## [1] 122.82 74.76 69.42 (... a better result is possible) ## This example goes over the budget constraints proportions2 = c( 0.47, 0.28, 0.25) constraints2 = c(12, 7, 99) lp(objective.in = proportions2, const.mat = diag(c(1,1,1)), const.rhs=constraints2, const.dir=rep('<=',3), direction='max' ) ## > Success: the objective function is 32.35 32.35 * proportions2 ##[1] 15.2045 9.0580 8.0875 1st and second values are higher than the constraints allow!!! Any help gratefully received. Best regards, Selwyn [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org 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.