Integer programming is a crucial branch of mathematical optimisation that focuses on problems where some or all decision variables are constrained to be integers. This field underpins many practical ...

T HIS PAPER develops a finite algorithm to solve pure all-integer programming problems with n variables and n or n+ 1 inequality constraints. For problems with more constraints, the algorithm can be ...

AA particularly important type of integer programming problem is one in which the integer variables have to be either 0 or 1, depending on whether or not some action is taken. And pure integer ...

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Formulations of mathematical programs often require that some of the decision variables take only integer values. Consider the formulation You can follow the same steps to identify binary variables.