COMPARISON BETWEEN FIVE MINLP SOLVERS AND NEW RESULTS RELATED TO TRIGONOMETRIC FUNCTIONS

Loay Alkhalifa ()
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Loay Alkhalifa: Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass 51921, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-13

Abstract: Due to the rapid development of algorithms and techniques that are used to deal with mixed integer nonlinear programming (MINLP) problems, many global MINLP solvers were introduced. In this paper, computational experiments were done to compare between the performances of five of these solvers. Some of these solvers do not support trigonometric functions. Therefore, piecewise linear approximation (PLA) is applied to problems having these function so the solvers can deal with these problems. Additional computational tests were performed on to show how PLA can be useful, even to some powerful global solvers.

Keywords: Mixed Integer Nonlinear Programming; Piecewise Linear Approximation; Branch and Bound; Outer Approximation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402496

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