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The purpose of this paper is to extend the use of segmented polynomial functions for simulation metamodeling, where the segments have at most identical value and slope at the breaks. Our approach is to build segmented polynomials metamodels where the hypothesis of degree and continuity of splines are less exigent, allowing more flexibility of the approximation. When breaks are known, constrained least squares are used for metamodel estimation, taking into account the linear formulation of the problem. If breaks have to be estimated, the unconstrained nonlinear regression theory is used, when it can be applied. Otherwise, the estimation is performed using an iterative algorithm which is applied repeatedly in a cyclic manner for estimating the breaks, and jackknifing yields the confidence intervals.<\/jats:p>","DOI":"10.1177\/00375497211018734","type":"journal-article","created":{"date-parts":[[2021,6,8]],"date-time":"2021-06-08T03:36:37Z","timestamp":1623123397000},"page":"761-777","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Construction of stochastic simulation metamodels with segmented polynomials"],"prefix":"10.1177","volume":"97","author":[{"given":"Pedro M.","family":"Reis dos Santos","sequence":"first","affiliation":[{"name":"Department of Computer Science and Engineering, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9889-9426","authenticated-orcid":false,"given":"M.","family":"Isabel 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