Equivalent Formulations of Nonlinear Integer Problems for Efficient Optimization
Management Science · 1990 · Volume 36 · Issue 1
Abstract
The linearization technique of Glover, which seems to be the most efficient one appearing in the literature, requires the addition of n new continuous variables (unconstrained in sign) and 4 n new linear constraints to equivalently represent a 0-1 “quadratic” integer problem with n variables. This paper shows that it is still possible to improve such a procedure. In fact, the number of new continuous variables can be kept at n (but constrained in sign) while further reducing the number of new linear constraints from 4 n to 2 n .
Keywords
nonlinear integer programming
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