pulp-or 1.4.6

# Copyright J.S. Roy (js@jeannot.org), 2003-2005 # Copyright Stuart A. Mitchell (stu@stuartmitchell.com) # See the LICENSE file for copyright information.

PuLP is an LP modeler written in python. PuLP can generate MPS or LP files and call GLPK[1], COIN CLP/CBC[2], CPLEX[3], and GUROBI[4] to solve linear problems.

See the examples directory for examples.

PuLP requires Python >= 2.5.

The examples require at least a solver in your PATH or a shared library file.

Documentation is found on https://www.coin-or.org/PuLP/. A comprehensive wiki can be found at https://www.coin-or.org/PuLP/

Use LpVariable() to create new variables. To create a variable 0 <= x <= 3 >>> x = LpVariable(“x”, 0, 3)

To create a variable 0 <= y <= 1 >>> y = LpVariable(“y”, 0, 1)

Use LpProblem() to create new problems. Create “myProblem” >>> prob = LpProblem(“myProblem”, LpMinimize)

Combine variables to create expressions and constraints and add them to the problem. >>> prob += x + y <= 2

If you add an expression (not a constraint), it will become the objective. >>> prob += -4*x + y

Choose a solver and solve the problem. ex: >>> status = prob.solve(GLPK(msg = 0))

Display the status of the solution >>> LpStatus[status] ‘Optimal’

You can get the value of the variables using value(). ex: >>> value(x) 2.0

Exported Classes:

• LpProblem – Container class for a Linear programming problem

• LpVariable – Variables that are added to constraints in the LP

• LpConstraint – A constraint of the general form a1x1+a2x2 …anxn (<=, =, >=) b

• LpConstraintVar – Used to construct a column of the model in column-wise modelling

Exported Functions:

• value() – Finds the value of a variable or expression

• lpSum() – given a list of the form [a1*x1, a2x2, …, anxn] will construct a linear expression to be used as a constraint or variable

• lpDot() –given two lists of the form [a1, a2, …, an] and [ x1, x2, …, xn] will construct a linear epression to be used as a constraint or variable

Comments, bug reports, patches and suggestions are welcome. pulp-or-discuss@googlegroups.com

References: [1] http://www.gnu.org/software/glpk/glpk.html [2] http://www.coin-or.org/ [3] http://www.cplex.com/ [4] http://www.gurobi.com/