Piecewise polyhedral formulations for a multilinear term

نویسندگان

چکیده

In this paper, we present a mixed-integer linear programming (MILP) formulation of piecewise, polyhedral relaxation (PPR) multilinear term using its convex-hull representation. Based on the PPR’s solution, also MILP whose solutions are feasible for nonconvex, equations. We then computational results showing effectiveness proposed formulations standard benchmark nonlinear programs (NLPs) with terms and compare traditional that is built recursive bilinear groupings terms.

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ژورنال

عنوان ژورنال: Operations Research Letters

سال: 2021

ISSN: ['0167-6377', '1872-7468']

DOI: https://doi.org/10.1016/j.orl.2020.12.002