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#' Build adea problem
#'
#' For the given input and output build the adea problem and return it.
#'
#' Note: As this function is mainly for internal use, to avoid unnecessary overload, it does not do an extensive check of the input parameters. Use the higher level adea function instead.
#'
#' @name roi_adea
#' @aliases roi_adea
#' @keywords internal
#' @inheritParams adea
#' @param solver Any of the available solver that will be used by ROI to solve the optimization problem. Use <code>ROI_installed_solvers()</code> to list them.
#' @return list(lp, status, solver, ux, vy, eff, loads = list())
roi_adea <- function(input, output, orientation, load.orientation, solver)
{
## Check input and output
## err <- adea_check(input, output)
## if (err != TRUE) stop(err)
orientation <- match.arg(orientation, c('input', 'output'))
load.orientation <- match.arg(load.orientation, c('inoutput', 'input', 'output'))
## Initialize values
## status <- NULL
## ux <- NULL
## vy <- NULL
## eff <- NULL
## ndmu <- nrow(input)
## ni <- ncol(input)
## no <- ncol(output)
## nio <- ni + no
## Solve dea problem
.dea <- roi_dea(input = input, output = output, orientation = orientation, solver = solver)
## Build adea problem
lp <- roi_build_adea(input = input, output = output, eff = .dea$eff, orientation = orientation, load.orientation = load.orientation, solver = solver, lp = .dea$lp)
## Solve adea problem
.adea <- roi_solve_adea(input = input, output = output, solver = solver, lp = lp)
## Compute scores
.adea$eff <- eff_dea(input = input, output = output, orientation = orientation, ux = .adea$ux, vy = .adea$vy)
## Compute loads
.adea$loads <- adea_loads(input, output, .adea$ux, .adea$vy, load.orientation = load.orientation)
## Return lp
.adea$lp <- lp
## Writing lp problem (This write operation may rise an strange error)
## cat("debug:roi_adea:roi_adea.R:49: writing lp problem to /tmp/adea_roi.lp...\n")
## ROI_write(lp, file = '/tmp/adea_roi.lp', type = 'lp_lpsolve')
## Return
class(.adea) <- 'roiadea'
.adea
}
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