TOMLAB /CPLEX 用户指南：Matlab接口与优化功能解析

Tomlab

CPLEX

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User’s Guide for TOMLAB /CPLEX v12.1 16

The following inputs are used:, continued

The .index array has to be sorted, ascending.

To get an SA of objective function on the four variables 120 to 123 (included) and variable

19, the saRequest structure would look like this:

saRequest.obj.index = [19 120 121 122 123];

The result is returned through the output parameter ’sa’.

basis Vector with CPLEX starting basis. If re-solving a similar problem several times, this can

be set to the ’basis’ output argument of an earlier call to cplex.m. The length of this vector

must be equal to the sum of the number of rows (m) and columns (n).

The ﬁrst m elements contain row basis information, with the following possible values for

non-ranged rows:

0 associated slack/surplus/artiﬁcial variable nonbasic at value 0.0

1 associated slack/surplus/artiﬁcial variable basic

and for ranged rows (both upper and lower bounded)

0 associated slack/surplus/artiﬁcial variable nonbasic at its lower bound

1 associated slack/surplus/artiﬁcial variable basic

2 associated slack/surplus/artiﬁcial variable nonbasic at its upper bound

The last n elements, i.e. basis(m+1:m+n) contain column basis information:

0 variable at lower bound

1 variable is basic

2 variable at upper bound

3 variable free and nonbasic

xIP Vector with MIP starting solution, if known. Missing values may be set to NaN. Length

should be equal to number of columns in problem.

logcon Structure deﬁning logical (or ”indicator”) constraints. This is a special type of linear con-

straint which is included in a mixed integer problem only if an associated binary variable is

equal to 1.

Note that when associating a variable with a logical constraint, the variable in question will

be forced to become a binary variable; even if it was a continuous or integer variable with

bounds other than 0-1.

Each element logcon(i) describes one logical constraint:

User’s Guide for TOMLAB /CPLEX v12.1 17

The following inputs are used:, continued

y− > r ow

∗ x <= rhs (also == and >= possible)

The following three ﬁelds (row,var,rhs) are mandatory:

The following ﬁelds are optional:

logcon(i).row: A dense or sparse row vector with the same length as the number of variables

in the problem.

logcon(i).var: The index of the variable y which should control whether the constraint is

”active” or not. Must be less than or equal to the number of variables in the problem.

logcon(i).rhs: The scalar value of the right hand side of the i:th logical constraint.

The following ﬁelds are optional in the description of a logical constraint:

logcon(i).sense Deﬁnes the sense of the i:th logical constraint:

0 or ’lt’ : implies row*x <= rhs

1 or ’eq’ : implies row*x == rhs

2 or ’gt’ : implies row*x >= rhs

logcon(i).comp: Complement ﬂag. The default value 0 (empty ﬁeld or left out entirely)

implies that the logical constraint is active when the associated variable is equal to 1. If

setting the comp ﬁeld to a nonzero value, the binary variable is complemented and the

constraint will become active when the variable is zero.

logcon(i).name: A string containing a name for the i:th logical constraint. This is only used

if a save ﬁle is written.

branchprio A nonnegative vector of length n. A priority order assigns a branching priority to some or

all of the integer variables in a model. CPLEX performs branches on variables with a higher

assigned priority number before variables with a lower priority; variables not assigned an

explicit priority value by the user are treated as having a priority value of 0.

branchdir A vector with -1, 0, 1 entries of length n. -1 forces branching towards the lower end of the

integer, while 1 forces branching to the higher.

cpxSettings Structure with ﬂags controlling various CPLEX features. Currently the following ﬁelds are

deﬁned:

tune Flag to control the CPLEX Parameter Tuning feature. The following values are recognized:

0 - Disable parameter tuning (default).

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TOMLAB /CPLEX 用户指南：Matlab接口与优化功能解析

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描述 资源 路径 位置 类型 ÕҲ»µ½Îļþ¡°C:/Users/刘悦/Documents/Visual Studio 2013/CPLEX_Studio1263/opl/model¡±¡£ model 未知 OPL 问题标记

对数独问题建模，用Gurobi/COPT/CPLEX求解，得到的可行解必须满 足:第一个数 = 你的学号 的最后一位数;尾号为0的同学 可任意设定，请给出代码

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描述资源路径位置类型 ÕҲ»µ½Îļþ¡°C:/Users/刘悦/Documents/Visual Studio 2013/CPLEX_Studio1263/opl/model¡±¡£ model 未知 OPL 问题标记

对数独问题建模，用Gurobi/COPT/CPLEX求解，得到的可行解必须满足:第一个数 = 你的学号的最后一位数;尾号为0的同学可任意设定，请给出代码