The Absolute Integrality tolerance is used by LINGO as a test for integrality in integer programming models. Due to round-off errors, the "integer" variables in a solution may not have values that are precisely integer. The absolute integrality tolerance specifies the absolute amount of violation from integrality that is acceptable. Specifically, if X is an "integer" variable and I is the closest integer to X, then X would be accepted as being integer valued if:

|X - I|   ≤   Absolute Integrality Tolerance.

The default value for the absolute integrality tolerance is .000001. Although one might be tempted to set this tolerance to 0, this may result in feasible models being reported as infeasible.