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# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Library General Public
# License as published by the Free Software Foundation; either
# version 2 of the License, or (at your option) any later version.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Library General Public License for more details.
#
# You should have received a copy of the GNU Library General
# Public License along with this library; if not, write to the
# Free Foundation, Inc., 59 Temple Place, Suite 330, Boston,
# MA 02111-1307 USA
################################################################################
# FUNCTION: DESCRIPTION:
# .lpAssign Assigns linear programming model
# .qpAssign Assigns quadratic programming model
################################################################################
.lpAssign <-
function(project, c, x_L, x_U, A, b_L, b_U, solver="ipopt", trace=FALSE)
{
# A function written by Diethelm Wuertz
# Description:
# Assigns LP Model
# Arguments:
# project - project name
# FUNCTION:
# Settings:
n <- length(c)
m <- nrow(A)
# Write AMPL Model File:
amplModelOpen(project)
model <- c(
"param n ;",
"param m ;",
"param c{1..n} ;",
"param x_L{1..n} ;",
"param x_U{1..n} ;",
"param A{1..m, 1..n} ;",
"param b_L{1..m} ;",
"param b_U{1..m} ;",
"var x{1..n};",
"minimize Objective: sum {i in 1..n} x[i]*c[i] ;",
"s.t. lower {i in 1..n}: x[i] >= x_L[i] ;",
"s.t. upper {i in 1..n}: x[i] <= x_U[i] ;",
"s.t. linLower {j in 1..m}: sum{i in 1..n} A[j, i]*x[i] >= b_L[j] ;",
"s.t. linUpper {j in 1..m}: sum{i in 1..n} A[j, i]*x[i] <= b_U[j] ;",
NULL)
amplModelAdd(model, project)
if (trace) amplModelShow(project)
# Write AMPL Data File:
amplDataOpen(project)
amplDataAddValue (data="n", value=n, project)
amplDataAddValue (data="m", value=m, project)
amplDataAddVector(data="c", vector=c, project)
amplDataAddVector(data="x_L", vector=x_L, project)
amplDataAddVector(data="x_U", vector=x_U, project)
amplDataAddMatrix(data="A", matrix=A, project)
amplDataAddVector(data="b_L", vector=b_L, project)
amplDataAddVector(data="b_U", vector=b_U, project)
if (trace) amplDataShow(project)
# Write AMPL RUN File:
amplRunOpen(project)
run <- c(
paste("reset ;"),
paste("option solver ", solver, " ;", sep = ""),
paste("model ", project, ".mod ;", sep = ""),
paste("data ", project, ".dat ;", sep = ""),
paste("solve ;"),
paste("display x > ", project, ".txt ;", sep = ""),
paste("display solve_result_num > ", project, ".txt ;", sep = ""),
paste("display solve_result > ", project, ".txt ;", sep = ""),
paste("display solve_message > ", project, ".txt ;", sep = ""),
paste("exit ;") )
amplRunAdd(run, project)
if (trace) amplRunShow(project)
# Return Value:
invisible()
}
# -----------------------------------------------------------------------------
.qpAssign <-
function(project, c, F, x_L, x_U, A, b_L, b_U, solver="ipopt", trace=FALSE)
{
# A function written by Diethelm Wuertz
# Description:
# Assigns LP Model
# Arguments:
# project - project name
# FUNCTION:
# Settings:
n <- length(c)
m <- nrow(A)
# Write AMPL Model File:
amplModelOpen(project)
model <- c(
"param n ;",
"param m ;",
"param c{1..n} ;",
"param F{1..n, 1..n} ;",
"param x_L{1..n} ;",
"param x_U{1..n} ;",
"param A{1..m, 1..n} ;",
"param b_L{1..m} ;",
"param b_U{1..m} ;",
"var x{1..n};",
"minimize Risk: sum {i in 1..n} x[i]*c[i] + 0.5*sum {i in 1..n} sum{j in 1..n} x[i]*F[i,j]*x[j] ;",
"s.t. lower {i in 1..n}: x[i] >= x_L[i] ;",
"s.t. upper {i in 1..n}: x[i] <= x_U[i] ;",
"s.t. linLower {j in 1..m}: sum{i in 1..n} A[j, i]*x[i] >= b_L[j] ;",
"s.t. linUpper {j in 1..m}: sum{i in 1..n} A[j, i]*x[i] <= b_U[j] ;",
NULL)
amplModelAdd(model, project)
if (trace) amplModelShow(project)
# Write AMPL Data File:
amplDataOpen(project)
amplDataAddValue (data="n", value=n, project)
amplDataAddValue (data="m", value=m, project)
amplDataAddVector(data="c", vector=c, project)
amplDataAddMatrix(data="F", matrix=F, project)
amplDataAddVector(data="x_L", vector=x_L, project)
amplDataAddVector(data="x_U", vector=x_U, project)
amplDataAddMatrix(data="A", matrix=A, project)
amplDataAddVector(data="b_L", vector=b_L, project)
amplDataAddVector(data="b_U", vector=b_U, project)
if (trace) amplDataShow(project)
# Write AMPL RUN File:
amplRunOpen(project)
run <- c(
paste("reset ;"),
paste("option solver ", solver, " ;", sep = ""),
paste("model ", project, ".mod ;", sep = ""),
paste("data ", project, ".dat ;", sep = ""),
paste("solve ;"),
paste("display x > ", project, ".txt ;", sep = ""),
paste("display solve_result_num > ", project, ".txt ;", sep = ""),
paste("display solve_result > ", project, ".txt ;", sep = ""),
paste("display solve_message > ", project, ".txt ;", sep = ""),
paste("exit ;") )
amplRunAdd(run, project)
if (trace) amplRunShow(project)
# Return Value:
invisible()
}
################################################################################
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