linprog 1.2.0

Linear Programming Solver and Sensitivity Analysis Toolkit

LinProg

Linear Programming Solver and Sensitivity Analysis Toolkit.

Installation

pip install linprog

Example

# ============================================================
# Example
# max 3x1 + 5x2
#
# s.t.
# x1          <= 4
#      2x2    >= 8
# 3x1 + 2x2   <= 18
# x1 + x2     == 7
# x1, x2 >= 0
# ============================================================

from linprog import LinearProgram

lp = LinearProgram(
    c=[3,5],
    A=[
        [1,0],
        [0,2],
        [3,2],
        [1,1]
    ],
    senses=["<=",">=","<=","=="],
    b=[4,8,18,7],
    objective="max",
    bounds=[(0, None), (0, None)],
    var_names=["x1", "x2"],
    con_names=["cte1", "cte3", "cte3", "cte4"],
)

lp.solve()
# display the linear program model
print(lp.reportModel())
# display the linear program in standard form
print(lp.reportStandardModelFormat())
# display the linear program in matrix form
print(lp.reportMatrixFormat())
# solution of the linear program
print(lp.solution)
# display the solution
print(lp.reportSolution())
# display the sensitivity analysis
print(lp.report_sensitive_analysis())