The Relative 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 relative integrality tolerance specifies the relative amount of violation from integrality that is acceptable. Specifically, if I is the closest integer value to X, X will be considered an integer if:

|X - I|        ≤        Relative Integrality Tolerance.

|X|    

The default value for the relative integrality tolerance is .000008. Although one might be tempted to set this tolerance to 0, this may result in feasible models being reported as infeasible.