MPS (.mps)

MPS mathematical file format.
De facto standard for specifying linear programming (LP) problems.
Commonly used as input format by LP solvers.
MPS is an acronym for Mathematical Programming System.
Plain text ASCII format, sometimes compressed as binary.
Stores data in a fixed-width tabular form.
Developed in the 1970s at IBM.
  • Import fully supports the MPS format.

Import and ExportImport and Export

  • Import["file.mps"] imports an MPS file, returning an expression representing an optimization problem.
  • Import["file.mps"] returns a list of objective functions and constraints in a form suitable as input for NMinimize.
  • Import["file.mps", elem] imports the specified element from an MPS file.
  • Import["file.mps", {elem, suba, subb, ...}] imports a subelement.
  • Import["file.mps", {{elem1, elem2, ...}}] imports multiple elements.
  • The import format can be specified with Import["file", "MPS"] or Import["file", {"MPS", elem, ...}].
  • See the reference pages for full general information on Import.
  • ImportString supports the MPS format.

ElementsElements

  • General Import elements:
  • "Elements"list of elements and options available in this file
    "Rules"full list of rules for each element and option
    "Options"list of rules for options, properties, and settings
  • Data representation elements:
  • "Equations"list of objective functions and constraints
    "LinearProgrammingData"vectors and matrices representing a linear program
    "ConstraintMatrix"matrix describing the constraints of a linear programming problem
  • Import uses the element by default.

OptionsOptions

  • Import options:
  • "FreeFormat"Falsewhether data fields are loosely or strictly aligned in the file
    "EMPS"Falsewhether the file is compressed

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Get a list of Import elements from an MPS file:

In[1]:=
Click for copyable input
Out[1]=

Read an MPS file as a list of objective functions and constraints that is an expression suitable for NMinimize:

In[2]:=
Click for copyable input
Out[2]=

Use it as input for NMinimize:

In[3]:=
Click for copyable input
Out[3]=

Read MPS data in a form suitable as input for LinearProgramming:

In[1]:=
Click for copyable input
Out[1]=

Use it as input for LinearProgramming:

In[2]:=
Click for copyable input
Out[2]=

Import and plot the constraint matrix of the previous example:

In[1]:=
Click for copyable input
Out[1]=
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