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Algorithm 909: NOMAD: Nonlinear Optimization with the MADS algorithm

Sébastien Le Digabel (Sebastien.Le.Digabel***at***gerad.ca)

Abstract: NOMAD is software that implements the MADS algorithm (Mesh Adaptive Direct Search) for black-box optimization under general nonlinear constraints. Blackbox optimization is about optimizing functions that are usually given as costly programs with no derivative information and no function values returned for a significant number of calls attempted. NOMAD is designed for such problems and aims for the best possible solution with a small number of evaluations. The objective of this paper is to describe the underlying algorithm, the software’s functionalities, and its implementation. In addition it is explained how to get started quickly with NOMAD.

Keywords: Optimization software, MADS (Mesh Adaptive Direct Search), constrained optimization, nonlinear optimization, blackbox optimization.

Category 1: Applications -- OR and Management Sciences

Category 2: Optimization Software and Modeling Systems

Citation: ACM Transactions on Mathematical Software, 37(4), p. 44:1-44:15, 2011.

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Entry Submitted: 07/27/2009
Entry Accepted: 07/27/2009
Entry Last Modified: 03/18/2011

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