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[Martin Pokorny <martin@xxxxxxxxxxxxxxxx>]

This is actually described in the lp_solve documentation under the
description of the LP file format, where it states:

<constraint> is an optional constraint name followed by a colon plus
  a linear combination of variables and constants or (just one)
  constraint name followed by a colon (a range) or (just one) variable
  name without a colon (a bound), followed by a relational operator,
  followed again by a linear combination of variables and constants,
  ending with a semicolon. The relational operator can be any of the
  following: "<" "<=" "=" ">" ">=". There is no semantic difference
  between "<" and "<=" nor between ">" and ">=" (even for integer
  variables!).

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https://bugs.launchpad.net/bugs/1334411

Title:
  integer constraints in lp format do not seem to be respected

Status in lp-solve package in Ubuntu:
  New

Bug description:
  Inequality constraints and integer variables give clearly incorrect
  results, which are not explicitly mentioned in the documentation.

  For instance, trying to solve the following program in lp format:

  min: x;

  x > 0;

  int x;

  
  Results in:

  Value of objective function: 0

  Actual values of the variables:
  x                               0

  
  Which is clearly incorrect.
  The solution, which involves using some artificial boundaries such as "x > 0.00000001" instead of "x > 0", is NOT intuitive and nowhere mentioned in the documentation. This is extremely frustrating for novice users.

  If there are limitations which prevent lp_solve from correctly parsing
  the given input program without having to add some residual value to
  "0", then at least it should be mentioned in the documentation.

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