sbv-8.12: SMT Based Verification: Symbolic Haskell theorem prover using SMT solving.
Copyright(c) Levent Erkok
LicenseBSD3
Maintainererkokl@gmail.com
Stabilityexperimental
Safe HaskellNone
LanguageHaskell2010

Documentation.SBV.Examples.Optimization.LinearOpt

Description

Simple linear optimization example, as found in operations research texts.

Synopsis

Documentation

problem :: Goal Source #

Taken from http://people.brunel.ac.uk/~mastjjb/jeb/or/morelp.html

  • maximize 5x1 + 6x2

  • subject to

    1. x1 + x2 <= 10
    2. x1 - x2 >= 3
    3. 5x1 + 4x2 <= 35
    4. x1 >= 0
    5. x2 >= 0
>>> optimize Lexicographic problem
Optimal model:
  x1   =  47 % 9 :: Real
  x2   =  20 % 9 :: Real
  goal = 355 % 9 :: Real