Rsymphony_solve_LP(Rsymphony)
Rsymphony_solve_LP()所属R语言包：Rsymphony
COIN-OR SYMPHONY Linear and Mixed Integer Programming Solver
COIN-OR SYMPHONY线性和混合整数规划求解
译者：生物统计家园网 机器人LoveR
描述----------Description----------
High level R interface to the COIN-OR SYMPHONY solver for linear as well as mixed integer linear programming problems (MILPs).
解线性和混合整数线性规划的问题（MILPs），高级别R接口的硬币或交响乐。
用法----------Usage----------
Rsymphony_solve_LP(obj, mat, dir, rhs, bounds = NULL, types = NULL,
max = FALSE)
参数----------Arguments----------
参数：obj
a vector with the objective coefficients
客观系数的矢量与
参数：mat
a vector or a matrix of the constraint coefficients
矢量或矩阵的约束系数
参数：dir
a character vector with the directions of the constraints. Each element must be one of "<", "<=", ">", ">=", "==" or "!=".
一个字符向量方向的约束。每个元素都必须有一个"<"，"<="，">"，">="，"=="或"!="。
参数：rhs
the right hand side of the constraints
的右手侧的约束
参数：bounds
NULL (default) or a list with elements upper and lower containing the indices and corresponding bounds of the objective variables. The default for each variable is a bound between 0 and Inf.
NULL（默认）或列表的元素upper和lower包含的指标和相应的目标变量的界限。每个变量的默认值是一个介于0和Inf约束。
参数：types
a character vector giving the types of the objective variables, with "C", "I", and "B" corresponding to continuous, integer, and binary, respectively, or NULL (default), taken as all-continuous. Recycled as needed.
字符向量给目标变量的类型，"C"，"I"和"B"对应于连续的，整数和二进制，分别或NULL（默认） ，视为所有连续。回收作为需要。
参数：max
a logical giving the direction of the optimization. TRUE means that the objective is to maximize the objective function, FALSE (default) means to minimize it.
一个逻辑给出的优化的方向。 TRUE是指，目标是最大化目标功能，FALSE的（默认），以尽量减少。
Details
详细信息----------Details----------
SYMPHONY is an open source solver for solving mixed integer linear programs (MILPs). The current version can be found at https://projects.coin-or.org/SYMPHONY. Package Rsymphony uses the C interface of the callable library provided by SYMPHONY, and supplies a high level solver function in R using the low level C interface.
Symphony是一个开放源码的求解，求解混合整数线性规划（MILPs）。目前的版本可以发现在https://projects.coin-or.org/SYMPHONY。套件Rsymphony使用C的SYMPHONY所提供的库可调用接口，并提供一个高层次求解器的功能，用低级别的C接口。
值----------Value----------
A list containing the optimal solution, with the following components.
甲列表，其中包含的最优解，与以下组件。
参数：solution
the vector of optimal coefficients
最优系数的矢量
参数：objval
the value of the objective function at the optimum
在最佳的目标函数的值
参数：status
an integer with status information about the solution returned: 0 if the optimal solution was found, a non-zero value otherwise.
返回与该溶液的状态有关下列内容的信息的整数：0，如果发现最优解，另有一个非零值。
（作者）----------Author(s)----------
Reinhard Harter, Kurt Hornik and Stefan Theussl
参考文献----------References----------
(https://projects.coin-or.org/SYMPHONY/wiki).
参见----------See Also----------
lp in package lpSolve; Rglpk_solve_LP in package Rglpk.
lp在包lpSolve，Rglpk_solve_LP的包Rglpk。
实例----------Examples----------
## Simple linear program.[＃简单的线性规划。]
## maximize: 2 x_1 + 4 x_2 + 3 x_3[＃最大化：2 X_1 + 4 X_2 + 3 x_3]
## subject to: 3 x_1 + 4 x_2 + 2 x_3 <= 60[＃：3 X_1 + 4 X_2 + 2 x_3 <= 60。]
## 2 x_1 + x_2 + x_3 <= 40[＃2 X_1 + X_2 + x_3 <= 40]
## x_1 + 3 x_2 + 2 x_3 <= 80[＃X_1 + 3 X_2 + 2 x_3 <= 80]
## x_1, x_2, x_3 are non-negative real numbers[＃X_1，X_2，x_3的非负实数]
obj <- c(2, 4, 3)
mat <- matrix(c(3, 2, 1, 4, 1, 3, 2, 2, 2), nrow = 3)
dir <- c("<=", "<=", "<=")
rhs <- c(60, 40, 80)
max <- TRUE
Rsymphony_solve_LP(obj, mat, dir, rhs, max = max)
## Simple mixed integer linear program.[＃简单的混合整数线性规划。]
## maximize: 3 x_1 + 1 x_2 + 3 x_3[＃最大化：3 X_1 + 1 X_2 + 3 x_3]
## subject to: -1 x_1 + 2 x_2 + x_3 <= 4[＃：-1 X_1 + 2 X_2 + x_3 <= 4。]
## 4 x_2 - 3 x_3 <= 2[＃4 X_2 - 3 x_3 <= 2]
## x_1 - 3 x_2 + 2 x_3 <= 3[＃X_1 - 3 X_2 + 2 x_3 <= 3]
## x_1, x_3 are non-negative integers[＃X_1，x_3的非负整数]
## x_2 is a non-negative real number[图＃X_2是一个非负实数]
obj <- c(3, 1, 3)
mat <- matrix(c(-1, 0, 1, 2, 4, -3, 1, -3, 2), nrow = 3)
dir <- c("<=", "<=", "<=")
rhs <- c(4, 2, 3)
max <- TRUE
types <- c("I", "C", "I")
Rsymphony_solve_LP(obj, mat, dir, rhs, types = types, max = max)
## Same as before but with bounds replaced by[＃一样的，但有界取代]
## -Inf < x_1 <= 4[＃-INF <X_1 <= 4]
## 0 <= x_2 <= 100[＃0 <= X_2 <= 100]
## 2 <= x_3 < Inf[＃2 = x_3 <天道酬勤]
bounds <- list(lower = list(ind = c(1L, 3L), val = c(-Inf, 2)),
upper = list(ind = c(1L, 2L), val = c(4, 100)))
Rsymphony_solve_LP(obj, mat, dir, rhs, types = types, max = max,
bounds = bounds)
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注：
注1：为了方便大家学习，本文档为生物统计家园网机器人LoveR翻译而成，仅供个人R语言学习参考使用，生物统计家园保留版权。
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发表于 2012-9-28 22:32:55
